private static PreprocessorModel CreateModel(IReadOnlyList <Node> nodes, IReadOnlyList <CellConnectivity <Node> > elements)
{
PreprocessorModel model = PreprocessorModel.Create2DPlaneStress(thickness);
// Materials properties
ElasticMaterial2D material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
DynamicMaterial dynamicProperties = new DynamicMaterial(density, 0.05, 0.05, true);
// Mesh
model.AddMesh2D(nodes, elements, material, dynamicProperties);
// Prescribed displacements: all nodes at the bottom
double tol = 1E-10;
IEnumerable <Node> constrainedNodes = nodes.Where(node => Math.Abs(node.Y) <= tol);
model.ApplyPrescribedDisplacements(constrainedNodes, StructuralDof.TranslationX, 0.0);
model.ApplyPrescribedDisplacements(constrainedNodes, StructuralDof.TranslationY, 0.0);
return(model);
}
public ContinuumElement2DFactory(double commonThickness, ElasticMaterial2D commonMaterial,
DynamicMaterial commonDynamicProperties)
{
this.commonThickness = commonThickness;
this.commonMaterial = commonMaterial;
this.commonDynamicProperties = commonDynamicProperties;
}
public Quad4(ElasticMaterial2D material)
{
materialsAtGaussPoints = new ElasticMaterial2D[iInt2];
for (int i = 0; i < iInt2; i++)
{
materialsAtGaussPoints[i] = (ElasticMaterial2D)material.Clone();
}
}
/// <summary>
/// Initializes a model for 2D plane strain problems.
/// </summary>
/// <param name="planeStrainMaterial">The material properties for a plane strain problem. For now they must be the same
/// for the whole domain.</param>
/// <returns></returns>
public static PreprocessorModel Create2DPlaneStrain(ElasticMaterial2D planeStrainMaterial) //TODO: extend this for non linear materials
{
if (planeStrainMaterial.StressState != StressState2D.PlaneStrain)
{
throw new ArgumentException("The provided material is not for plane strain problems");
}
return(new PreprocessorModel(ProblemDimensions.TwoDimensionalPlaneStrain, 1.0, planeStrainMaterial));
}
public LinearFemAnalysis2DUniformHardcoded(int numElementsX, int numElementsY, ElasticMaterial2D material,
BoundaryConditions bc)
{
this.numElementsX = numElementsX;
this.numElementsY = numElementsY;
this.NumElements = numElementsX * numElementsY;
this.material = material;
this.bc = bc;
}
private PreprocessorModel(ProblemDimensions dimensions, double thickness, ElasticMaterial2D planeStrainMaterial)
{
this.isAssembled = false;
this.planeStrainMaterial = planeStrainMaterial;
this.thickness = thickness;
this.model = new Model();
this.model.SubdomainsDictionary.Add(0, new Subdomain(0)); //TODO: let the user decide how many subdomains there will be
this.Dimensions = dimensions;
}
private static Model CreateModel(int numElementsX, int numElementsY)
{
// Create mesh
var meshGenerator = new UniformMeshGenerator2D(0, 0, length, height, numElementsX, numElementsY);
(Node[] nodes, Element[] elements) = meshGenerator.CreateMesh();
// Create model and add the nodes
var model = new Model();
foreach (Node node in nodes)
{
model.NodesDictionary.Add(node.ID, node);
}
// Find nodes on the left side and constrain their displacement
var leftNodes = model.FindNodesWithX(0);
foreach (Node node in leftNodes)
{
node.Constraints.AddRange(new[] { DOFType.X, DOFType.Y });
}
// Find nodes on the right side and apply load
var rightNodes = model.FindNodesWithX(length);
double loadPerNode = totalLoad / rightNodes.Count;
foreach (Node node in rightNodes)
{
model.Loads.Add(new Load()
{
Amount = loadPerNode, Node = node, DOF = DOFType.Y
});
}
// Create Quad4 elements and their material
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
foreach (Element element in elements)
{
element.ElementType = new Quad4(material)
{
Thickness = thickness
};
model.ElementsDictionary.Add(element.ID, element);
}
// Finalize model creation
model.ConnectDataStructures();
return(model);
}
public ContinuumElement2D CreateElement(CellType cellType, IReadOnlyList <Node> nodes, double thickness,
ElasticMaterial2D material, DynamicMaterial dynamicProperties)
{
int numGPs = integrationsForStiffness[cellType].IntegrationPoints.Count;
var materialsAtGaussPoints = new ElasticMaterial2D[numGPs];
for (int gp = 0; gp < numGPs; ++gp)
{
materialsAtGaussPoints[gp] = material.Clone();
}
return(CreateElement(cellType, nodes, thickness, materialsAtGaussPoints, dynamicProperties));
}
private static void TestMbbBeamHardCoded()
{
// Parameters
int numElementsX = 60, numElementsY = 20;
double filterAreaRadius = 1.5;
// Define the optimization
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus, PoissonRatio = 0.3
};
var fem = new LinearFemAnalysis2DUniformHardcoded(numElementsX, numElementsY, material,
LinearFemAnalysis2DUniformHardcoded.BoundaryConditions.MbbBeam);
var filter = new MeshIndependentSensitivityFilter2DUniform(numElementsX, numElementsY, filterAreaRadius);
TestMbbBeam(fem, filter);
}
private static Model CreateModel(int numElementsX, int numElementsY)
{
// Create mesh
var meshGenerator = new UniformMeshGenerator2D(0, 0, length, height, numElementsX, numElementsY);
(Node[] nodes, Element[] elements) = meshGenerator.CreateMesh();
// Create model and add the nodes
var model = new Model();
foreach (Node node in nodes)
{
model.NodesDictionary.Add(node.ID, node);
}
// Create Quad4 elements and their material
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
foreach (Element element in elements)
{
element.ElementType = new Quad4(material)
{
Thickness = thickness
};
model.ElementsDictionary.Add(element.ID, element);
}
// Boundary conditions:
// *******************************************************************************************
// *******************************************************************************************
// Excercise: Write your own boundary conditions for simply supported beam
// *******************************************************************************************
// *******************************************************************************************
ApplyCantileverBoundaryConditions(model);
// Finalize model creation
model.ConnectDataStructures();
return(model);
}
private static void TestCantileverBeamHardCoded()
{
// Parameters
int numElementsX = 32, numElementsY = 20;
double filterAreaRadius = 1.2;
// Define the fem analysis and the filter
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = 1.0, PoissonRatio = 0.3
};
var fem = new LinearFemAnalysis2DUniformHardcoded(numElementsX, numElementsY, material,
LinearFemAnalysis2DUniformHardcoded.BoundaryConditions.ShortCantilever);
var filter = new MeshIndependentSensitivityFilter2DUniform(numElementsX, numElementsY, filterAreaRadius);
// Run the test
TestCantileverBeam(fem, filter);
}
private static void TestCantileverBeamWith2LoadCasesHardCoded()
{
// Parameters
int numElementsX = 30, numElementsY = 30;
double filterAreaRadius = 1.2, volumeFraction = 0.4, penalty = 3.0;
// Define the optimization
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus, PoissonRatio = 0.3
};
var fem = new LinearFemAnalysis2DUniformHardcoded(numElementsX, numElementsY, material,
LinearFemAnalysis2DUniformHardcoded.BoundaryConditions.Cantilever2LoadCases);
var filter = new MeshIndependentSensitivityFilter2DUniform(numElementsX, numElementsY, filterAreaRadius);
var materialInterpolation = new PowerLawMaterialInterpolation(youngModulus, penalty, 1E-3);
var simp = new TopologySimpLinear2D(fem, optimAlgorithmBuilder, filter, materialInterpolation, volumeFraction);
var logger = new ObjectiveFunctionLogger();
simp.Logger = logger;
// Run the optimization
simp.Initialize();
(double compliance, Vector densities) = simp.Optimize();
// Check the history of the compliance (objective function)
var expectedCompliances = Vector.CreateFromArray(
TopologySimp99LinesTests.ComplianceHistoryForCantileverWith2LoadCases);
Assert.True(expectedCompliances.Equals(
Vector.CreateFromArray(logger.ObjectiveFunctionValues.ToArray()),
1E-11));
// Check the optimum element densities (design variables).
string densitiesPath = Directory.GetParent(Directory.GetCurrentDirectory()).Parent.Parent.FullName
+ @"\Resources\topology99lines_cantilever_loadcases_densities.txt";
var reader = new FullMatrixReader(false, ',');
Vector densitiesExpected = reader.ReadFile(densitiesPath).Reshape(false);
Assert.True(densitiesExpected.Equals(densities, 1E-11));
}
public CantileverBeam BuildWithQuad4Elements(int numElementsAlongLength, int numElementsAlongHeight)
{
// Material and section properties
double thickness = Width;
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = this.YoungModulus,
PoissonRatio = this.PoissonRatio
};
var dynamicProperties = new DynamicMaterial(1.0, 0.0, 0.0);
// Model with 1 subdomain
var model = new Model();
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
// Generate mesh
var meshGenerator = new UniformMeshGenerator2D <Node>(0.0, 0.0, Length, Height,
numElementsAlongLength, numElementsAlongHeight);
(IReadOnlyList <Node> vertices, IReadOnlyList <CellConnectivity <Node> > cells) =
meshGenerator.CreateMesh((id, x, y, z) => new Node(id: id, x: x, y: y, z: z));
// Add nodes to the model
for (int n = 0; n < vertices.Count; ++n)
{
model.NodesDictionary.Add(n, vertices[n]);
}
// Add Quad4 elements to the model
var factory = new ContinuumElement2DFactory(thickness, material, dynamicProperties);
for (int e = 0; e < cells.Count; ++e)
{
ContinuumElement2D element = factory.CreateElement(cells[e].CellType, cells[e].Vertices);
var elementWrapper = new Element()
{
ID = e, ElementType = element
};
foreach (Node node in element.Nodes)
{
elementWrapper.AddNode(node);
}
model.ElementsDictionary.Add(e, elementWrapper);
model.SubdomainsDictionary[subdomainID].Elements.Add(elementWrapper);
}
// Clamp boundary condition at one end
double tol = 1E-10; //TODO: this should be chosen w.r.t. the element size along X
foreach (var node in model.Nodes.Where(node => Math.Abs(node.X) <= tol))
{
node.Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationX, Amount = 0.0
});
node.Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationY, Amount = 0.0
});
}
// Apply concentrated load at the other end
Node[] loadedNodes = model.Nodes.Where(node => Math.Abs(node.X - Length) <= tol).ToArray();
foreach (var node in loadedNodes)
{
model.Loads.Add(new Load()
{
Amount = EndPointLoad / loadedNodes.Length, Node = node, DOF = StructuralDof.TranslationY
});
}
return(new CantileverBeam(Length, Height, Width, EndPointLoad, YoungModulus, model, loadedNodes));
}
/// <summary>Initializes a new instance of the <see cref="Quad4"/> class.</summary>
/// <param name="material">An elastic two-dimensional plane=strain or plane-stress material.</param>
/// <param name="dofEnumerator"><inheritdoc cref="GenericDOFEnumerator"/></param>
public Quad4(ElasticMaterial2D material, GenericDOFEnumerator dofEnumerator)
: this(material) => this.dofEnumerator = dofEnumerator;
private static void SolveQuadCantileverDecompositionTest2()
{
#region Quad Cantilever Model
double youngModulus = 3.0e07;
double poissonRatio = 0.3;
double nodalLoad = 1000;
// Create a new elastic 2D material
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
// Model creation
Model model = new Model();
// Add a single subdomain to the model
model.SubdomainsDictionary.Add(0, new Subdomain(0));
// Add nodes to the nodes dictonary of the model
int indexNode = 0;
for (int i = 0; i < 25; i++)
{
for (int j = 0; j < 5; j++)
{
model.NodesDictionary.Add(indexNode, new Node(id: indexNode++, x: i, y: j, z: 0.0));
}
}
// Constrain left nodes of the model
for (int i = 0; i < 5; i++)
{
model.NodesDictionary[i].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationX
});
model.NodesDictionary[i].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationY
});
}
int indexElement = 0;
for (int i = 0; i < 24; i++)
{
for (int j = 0; j < 4; j++)
{
var element = new Element()
{
ID = indexElement,
ElementType = new Quad4(material)
};
element.AddNode(model.NodesDictionary[i * 5 + j]);
element.AddNode(model.NodesDictionary[(i + 1) * 5 + j]);
element.AddNode(model.NodesDictionary[(i + 1) * 5 + j + 1]);
element.AddNode(model.NodesDictionary[i * 5 + j + 1]);
model.ElementsDictionary.Add(indexElement, element);
model.SubdomainsDictionary[0].Elements.Add(element);
indexElement++;
}
}
// Add nodal load values to node 3
model.Loads.Add(new Load()
{
Amount = nodalLoad, Node = model.NodesDictionary[124], DOF = StructuralDof.TranslationY
});
// Needed in order to make all the required data structures
model.ConnectDataStructures();
#endregion
var domainDecomposer = new AutomaticDomainDecomposer(model, 8);
domainDecomposer.UpdateModel();
Dictionary <int, int[]> expectedSubdomains = new Dictionary <int, int[]>()
{
{ 0, new int[] { 0, 4, 1, 5, 8, 9, 2, 6, 10, 12, 13, 14 } },
{ 1, new int[] { 3, 7, 11, 15, 18, 19, 17, 21, 22, 23, 16, 20 } },
{ 2, new int[] { 24, 28, 25, 29, 32, 33, 26, 30, 34, 36, 37, 38 } },
{ 3, new int[] { 27, 31, 35, 39, 42, 43, 41, 45, 46, 47, 40, 44 } },
{ 4, new int[] { 48, 52, 49, 53, 56, 57, 50, 54, 58, 60, 61, 62 } },
{ 5, new int[] { 51, 55, 59, 63, 66, 67, 65, 69, 70, 71, 64, 68 } },
{ 6, new int[] { 72, 76, 73, 77, 80, 81, 74, 78, 82, 84, 85, 86 } },
{ 7, new int[] { 75, 79, 83, 87, 90, 91, 89, 93, 94, 95, 88, 92 } }
};
for (int i = 0; i < expectedSubdomains.Count; i++)
{
var subdomainElements = model.SubdomainsDictionary[i].Elements;
Assert.Equal(expectedSubdomains[i].Length, model.SubdomainsDictionary[i].Elements.Count);
for (int j = 0; j < expectedSubdomains[i].Length; j++)
{
Assert.Equal(expectedSubdomains[i][j], subdomainElements[j].ID);
}
}
}
private static void SolveQuadCantileverDecompositionTest3()
{
#region Quad Cantilever Model
double youngModulus = 3.0e07;
double poissonRatio = 0.3;
double nodalLoad = 1000;
// Create a new elastic 2D material
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
// Model creation
Model model = new Model();
// Add a single subdomain to the model
model.SubdomainsDictionary.Add(0, new Subdomain(0));
// Add nodes to the nodes dictonary of the model
int indexNode = 0;
for (int i = 0; i < 6; i++)
{
for (int j = 0; j < 3; j++)
{
model.NodesDictionary.Add(indexNode, new Node(id: indexNode++, x: i, y: j, z: 0.0));
}
}
// Constrain left nodes of the model
for (int i = 0; i < 3; i++)
{
model.NodesDictionary[i].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationX
});
model.NodesDictionary[i].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationY
});
}
int indexElement = 0;
for (int i = 0; i < 5; i++)
{
for (int j = 0; j < 2; j++)
{
var element = new Element()
{
ID = indexElement,
ElementType = new Quad4(material)
};
element.AddNode(model.NodesDictionary[i * 3 + j]);
element.AddNode(model.NodesDictionary[(i + 1) * 3 + j]);
element.AddNode(model.NodesDictionary[(i + 1) * 3 + j + 1]);
element.AddNode(model.NodesDictionary[i * 3 + j + 1]);
model.ElementsDictionary.Add(indexElement, element);
model.SubdomainsDictionary[0].Elements.Add(element);
indexElement++;
}
}
// Add nodal load values to node 3
model.Loads.Add(new Load()
{
Amount = nodalLoad, Node = model.NodesDictionary[17], DOF = StructuralDof.TranslationY
});
// Needed in order to make all the required data structures
model.ConnectDataStructures();
#endregion
var domainDecomposer = new AutomaticDomainDecomposer(model, 3);
domainDecomposer.UpdateModel();
Dictionary <int, int[]> expectedSubdomains = new Dictionary <int, int[]>()
{
{ 0, new int[] { 0, 2, 1, 3 } },
{ 1, new int[] { 4, 6, 5, 7 } },
{ 2, new int[] { 8, 9 } }
};
for (int i = 0; i < expectedSubdomains.Count; i++)
{
var subdomainElements = model.SubdomainsDictionary[i].Elements;
Assert.Equal(expectedSubdomains[i].Length, model.SubdomainsDictionary[i].Elements.Count);
for (int j = 0; j < expectedSubdomains[i].Length; j++)
{
Assert.Equal(expectedSubdomains[i][j], subdomainElements[j].ID);
}
}
}
private static Model CreateModel(IReadOnlyList <Node> nodes, IReadOnlyList <CellConnectivity <Node> > elements)
{
// Initialize
int numNodes = nodes.Count;
int numElements = elements.Count;
// Materials
ElasticMaterial2D material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
// Subdomains
Model model = new Model();
model.SubdomainsDictionary.Add(0, new Subdomain(0));
// Nodes
for (int i = 0; i < numNodes; ++i)
{
model.NodesDictionary.Add(i, nodes[i]);
}
// Elements
var factory = new ContinuumElement2DFactory(thickness, material, null);
for (int i = 0; i < numElements; ++i)
{
ContinuumElement2D element = factory.CreateElement(elements[i].CellType, elements[i].Vertices);
var elementWrapper = new Element()
{
ID = i, ElementType = element
};
foreach (Node node in element.Nodes)
{
elementWrapper.AddNode(node);
}
model.ElementsDictionary.Add(i, elementWrapper);
model.SubdomainsDictionary[0].Elements.Add(elementWrapper);
}
// Constraints
double tol = 1E-10;
Node[] constrainedNodes = nodes.Where(node => Math.Abs(node.Y) <= tol).ToArray();
for (int i = 0; i < constrainedNodes.Length; i++)
{
constrainedNodes[i].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationX
});
constrainedNodes[i].Constraints.Add(new Constraint {
DOF = StructuralDof.TranslationY
});
}
// Loads
Node[] loadedNodes = nodes.Where(
node => (Math.Abs(node.Y - height) <= tol) && ((Math.Abs(node.X) <= tol))).ToArray();
if (loadedNodes.Length != 1)
{
throw new Exception("Only 1 node was expected at the top left corner");
}
model.Loads.Add(new Load()
{
Amount = maxLoad, Node = loadedNodes[0], DOF = StructuralDof.TranslationX
});
return(model);
}
public static void Check2DscaleTransitionsAndMicrostructure()
{
//Check05cStressIntegration()
double E_disp = 3.5; /*Gpa*/ double ni_disp = 0.4; // stathera Poisson
var material1 = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = E_disp, PoissonRatio = ni_disp,
};
double[] GLVec = new double[3] {
0.01, 0, 0
};
material1.UpdateMaterial(GLVec);
double[] stressesCheck1 = new double[3] {
material1.Stresses[0], material1.Stresses[1], material1.Stresses[2]
};
//material1.SaveState();
GLVec = new double[3] {
0.02, 0, 0
};
material1.UpdateMaterial(GLVec);
double[] stressesCheck2 = new double[3] {
material1.Stresses[0], material1.Stresses[1], material1.Stresses[2]
};
//VectorExtensions.AssignTotalAffinityCount();
IdegenerateRVEbuilder homogeneousRveBuilder1 = new HomogeneousRVEBuilderLinearAndDegenerate();
//IRVEbuilder homogeneousRveBuilder1 = new HomogeneousRVEBuilderCheckEnaHexa();
IContinuumMaterial2D microstructure3 = new Microstructure2DplaneStress(homogeneousRveBuilder1,
model => (new SkylineSolver.Builder()).BuildSolver(model), false, 1);
//IContinuumMaterial3DDefGrad microstructure3copyConsCheck = new Microstructure3copyConsCheckEna(homogeneousRveBuilder1);
double[,] consCheck1 = new double[3, 3];
for (int i1 = 0; i1 < 3; i1++)
{
for (int i2 = 0; i2 < 3; i2++)
{
consCheck1[i1, i2] = microstructure3.ConstitutiveMatrix[i1, i2];
}
}
microstructure3.UpdateMaterial(new double[3] {
0.010, 0, 0
});
double[] stressesCheck3 = new double[3] {
microstructure3.Stresses[0], microstructure3.Stresses[1], microstructure3.Stresses[2]
};
microstructure3.SaveState();
microstructure3.UpdateMaterial(new double[3] {
0.020, 0, 0
});
double[] stressesCheck4 = new double[3] {
microstructure3.Stresses[0], microstructure3.Stresses[1], microstructure3.Stresses[2]
};
microstructure3.SaveState();
microstructure3.UpdateMaterial(new double[3] {
0.030, 0, 0
});
double[] stressesCheck5 = new double[3] {
microstructure3.Stresses[0], microstructure3.Stresses[1], microstructure3.Stresses[2]
};
var Matrix1 = Matrix.CreateZero(3, 3); for (int i1 = 0; i1 < 3; i1++)
{
for (int i2 = 0; i2 < 3; i2++)
{
Matrix1[i1, i2] = microstructure3.ConstitutiveMatrix[i1, i2];
}
}
Assert.True(NRNLAnalyzerDevelopTest.AreDisplacementsSame(stressesCheck1, stressesCheck3));
Assert.True(NRNLAnalyzerDevelopTest.AreDisplacementsSame(stressesCheck2, stressesCheck4));
Assert.True(NRNLAnalyzerDevelopTest.AreDisplacementsSame(new double[3] {
3 * stressesCheck1[0], 3 * stressesCheck1[1], 3 * stressesCheck1[2]
},
stressesCheck5));
Assert.True(AreDisplacementsSame(consCheck1, material1.ConstitutiveMatrix));
Assert.True(AreDisplacementsSame(Matrix1.CopyToArray2D(), material1.ConstitutiveMatrix));
}
private static void SolveDynamicLinearWall()
{
// Some values
string workingDirectory = @"C:\Users\Serafeim\Desktop\Presentation";
double thickness = 0.1;
double youngModulus = 2E6;
double poissonRatio = 0.3;
// Initialize model
PreprocessorModel model = PreprocessorModel.Create2DPlaneStress(thickness);
// Materials
ElasticMaterial2D material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
DynamicMaterial dynamicProperties = new DynamicMaterial(25, 0.05, 0.05, true);
// Read mesh from GMSH file
string meshPath = workingDirectory + "\\wall.msh";
IReadOnlyList <Node> nodes;
IReadOnlyList <CellConnectivity <Node> > elements;
using (var reader = new GmshReader <Node>(meshPath))
{
(nodes, elements) = reader.CreateMesh((id, x, y, z) => new Node(id: id, x: x, y: y, z: z));
}
model.AddMesh2D(nodes, elements, material, dynamicProperties);
// Prescribed displacements
double tol = 1E-10;
IEnumerable <Node> constrainedNodes = nodes.Where(node => Math.Abs(node.Y) <= tol);
model.ApplyPrescribedDisplacements(constrainedNodes, StructuralDof.TranslationX, 0.0);
model.ApplyPrescribedDisplacements(constrainedNodes, StructuralDof.TranslationY, 0.0);
// Loads
string accelerogramPath = workingDirectory + "\\elcentro_NS.txt";
Dictionary <IDofType, double> magnifications = new Dictionary <IDofType, double>
{
{ StructuralDof.TranslationX, 1.0 }
};
model.SetGroundMotion(accelerogramPath, magnifications, 0.02, 53.74);
// Define output
OutputRequests output = new OutputRequests(workingDirectory + "\\Plots");
output.Displacements = true;
output.Strains = true;
output.Stresses = true;
output.StressesVonMises = true;
// Set up the simulation procedure
Job job = new Job(model);
job.Procedure = Job.ProcedureOptions.DynamicImplicit;
job.Integrator = Job.IntegratorOptions.Linear;
job.Solver = Job.SolverOptions.DirectSkyline;
job.FieldOutputRequests = output;
// Run the simulation
job.Submit();
}
private static void SolveStaticLinearWall()
{
// Some values
string workingDirectory = @"C:\Users\Serafeim\Desktop\Presentation";
double height = 3.5;
double thickness = 0.1;
double youngModulus = 2E6;
double poissonRatio = 0.3;
double horizontalLoad = 1000.0;
// Initialize model
PreprocessorModel model = PreprocessorModel.Create2DPlaneStress(thickness);
// Materials
ElasticMaterial2D material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
// Read mesh from GMSH file
string meshPath = workingDirectory + "\\wall.msh";
IReadOnlyList <Node> nodes;
IReadOnlyList <CellConnectivity <Node> > elements;
using (var reader = new GmshReader <Node>(meshPath))
{
(nodes, elements) = reader.CreateMesh((id, x, y, z) => new Node(id: id, x: x, y: y, z: z));
}
model.AddMesh2D(nodes, elements, material);
// Prescribed displacements
double tol = 1E-10;
IEnumerable <Node> constrainedNodes = nodes.Where(node => Math.Abs(node.Y) <= tol);
model.ApplyPrescribedDisplacements(constrainedNodes, StructuralDof.TranslationX, 0.0);
model.ApplyPrescribedDisplacements(constrainedNodes, StructuralDof.TranslationY, 0.0);
// Loads
Node[] loadedNodes = nodes.Where(
node => (Math.Abs(node.Y - height) <= tol) && ((Math.Abs(node.X) <= tol))).ToArray();
if (loadedNodes.Length != 1)
{
throw new Exception("Only 1 node was expected at the top left corner");
}
model.ApplyNodalLoad(loadedNodes[0], StructuralDof.TranslationX, horizontalLoad);
// Define output
OutputRequests output = new OutputRequests(workingDirectory + "\\Plots");
output.Displacements = true;
output.Strains = true;
output.Stresses = true;
output.StressesVonMises = true;
// Set up the simulation procedure
Job job = new Job(model);
job.Procedure = Job.ProcedureOptions.Static;
job.Integrator = Job.IntegratorOptions.Linear;
job.Solver = Job.SolverOptions.DirectSkyline;
job.FieldOutputRequests = output;
// Run the simulation
job.Submit();
}
private static void TestQuad4LinearCantileverExample()
{
// Model & subdomains
var model = new Model();
int subdomainID = 0;
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
// Materials
double youngModulus = 3.76;
double poissonRatio = 0.3779;
double thickness = 1.0;
double nodalLoad = 500.0;
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus,
PoissonRatio = poissonRatio
};
// Nodes
var nodes = new Node[]
{
new Node(id: 1, x: 0.0, y: 0.0, z: 0.0),
new Node(id: 2, x: 10.0, y: 0.0, z: 0.0),
new Node(id: 3, x: 10.0, y: 10.0, z: 0.0),
new Node(id: 4, x: 0.0, y: 10.0, z: 0.0)
};
for (int i = 0; i < nodes.Length; ++i)
{
model.NodesDictionary.Add(i, nodes[i]);
}
// Elements
var factory = new ContinuumElement2DFactory(thickness, material, null);
var elementWrapper = new Element()
{
ID = 0,
ElementType = factory.CreateElement(CellType.Quad4, nodes)
};
elementWrapper.AddNodes(nodes);
model.ElementsDictionary.Add(elementWrapper.ID, elementWrapper);
model.SubdomainsDictionary[subdomainID].Elements.Add(elementWrapper);
//var a = quad.StiffnessMatrix(element);
// Prescribed displacements
model.NodesDictionary[0].Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationX, Amount = 0.0
});
model.NodesDictionary[0].Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationY, Amount = 0.0
});
model.NodesDictionary[3].Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationX, Amount = 0.0
});
model.NodesDictionary[3].Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationY, Amount = 0.0
});
// Nodal loads
model.Loads.Add(new Load()
{
Amount = nodalLoad, Node = model.NodesDictionary[1], DOF = StructuralDof.TranslationX
});
model.Loads.Add(new Load()
{
Amount = nodalLoad, Node = model.NodesDictionary[2], DOF = StructuralDof.TranslationX
});
// Solver
var pcgBuilder = new PcgAlgorithm.Builder();
pcgBuilder.ResidualTolerance = 1E-6;
pcgBuilder.MaxIterationsProvider = new PercentageMaxIterationsProvider(0.5);
var solverBuilder = new PcgSolver.Builder();
solverBuilder.PcgAlgorithm = pcgBuilder.Build();
PcgSolver solver = solverBuilder.BuildSolver(model);
// Problem type
var provider = new ProblemStructural(model, solver);
// Analyzers
var childAnalyzer = new LinearAnalyzer(model, solver, provider);
var parentAnalyzer = new StaticAnalyzer(model, solver, provider, childAnalyzer);
//NewmarkDynamicAnalyzer parentAnalyzer = new NewmarkDynamicAnalyzer(provider, childAnalyzer, linearSystems, 0.25, 0.5, 0.28, 3.36);
// Request output
childAnalyzer.LogFactories[subdomainID] = new LinearAnalyzerLogFactory(new int[] { 0 });
// Run the anlaysis
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
// Check output
DOFSLog log = (DOFSLog)childAnalyzer.Logs[subdomainID][0]; //There is a list of logs for each subdomain and we want the first one
Assert.Equal(253.132375961535, log.DOFValues[0], 8);
}
public ElasticPlaneStrainVonMises(ElasticMaterial2D material)
{
this.E = material.YoungModulus;
this.v = material.PoissonRatio;
}
public void TestQuad4LinearCantileverExample()
{
// Model and node creation
var model = new Model();
model.NodesDictionary.Add(1, new Node {
ID = 1, X = 0.0, Y = 0.0, Z = 0.0
});
model.NodesDictionary.Add(2, new Node {
ID = 2, X = 10.0, Y = 0.0, Z = 0.0
});
model.NodesDictionary.Add(3, new Node {
ID = 3, X = 10.0, Y = 10.0, Z = 0.0
});
model.NodesDictionary.Add(4, new Node {
ID = 4, X = 0.0, Y = 10.0, Z = 0.0
});
// Constrain bottom nodes of the model and add loads
model.NodesDictionary[1].Constraints.AddRange(new[] { DOFType.X, DOFType.Y });
model.NodesDictionary[4].Constraints.AddRange(new[] { DOFType.X, DOFType.Y });
model.Loads.Add(new Load()
{
Amount = 500, Node = model.NodesDictionary[2], DOF = DOFType.X
});
model.Loads.Add(new Load()
{
Amount = 500, Node = model.NodesDictionary[3], DOF = DOFType.X
});
// Create Quad4 element and its material
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = 3.76, PoissonRatio = 0.3779
};
var quad = new Quad4(material)
{
Thickness = 1
};
// Create the element connectivity
var element = new Element()
{
ID = 1, ElementType = quad
};
element.AddNode(model.NodesDictionary[1]);
element.AddNode(model.NodesDictionary[2]);
element.AddNode(model.NodesDictionary[3]);
element.AddNode(model.NodesDictionary[4]);
// Add quad element to the element and subdomains dictionary of the model
model.ElementsDictionary.Add(element.ID, element);
model.ConnectDataStructures();
// Setup
var linearSystem = new SkylineLinearSystem(model.Forces);
var solver = new SolverSkyline(linearSystem);
var provider = new ProblemStructural(model);
var childAnalyzer = new LinearAnalyzer(solver);
var parentAnalyzer = new StaticAnalyzer(provider, childAnalyzer, linearSystem);
parentAnalyzer.BuildMatrices();
parentAnalyzer.Initialize();
parentAnalyzer.Solve();
var expectedSolution = new double[] { 253.13237596153559, 66.567582057178811, 253.13237596153553, -66.567582057178811 };
for (int i = 0; i < expectedSolution.Length; i++)
{
Assert.Equal(expectedSolution[i], linearSystem.Solution[i], 12);
}
}
private static void TestCantileverBeamGeneral()
{
// Define the materials
double thickness = 1.0;
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = youngModulus, PoissonRatio = 0.3
};
var dynamicProperties = new DynamicMaterial(1.0, 0.0, 0.0, true);
// Model with 1 subdomain
var model = new Model();
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
// Generate mesh
int numElementsX = 32, numElementsY = 20;
double lengthX = numElementsX;
double depthY = numElementsY;
var mesher = new UniformMeshGenerator2D <Node>(0, 0, lengthX, depthY, numElementsX, numElementsY);
(IReadOnlyList <Node> nodes, IReadOnlyList <CellConnectivity <Node> > connectivity) =
mesher.CreateMesh((id, x, y, z) => new Node(id: id, x: x, y: y, z: z));
// Add nodes to the model
for (int n = 0; n < nodes.Count; ++n)
{
model.NodesDictionary.Add(n, nodes[n]);
}
// Add Quad4 elements to the model
var factory = new ContinuumElement2DFactory(thickness, material, dynamicProperties);
for (int e = 0; e < connectivity.Count; ++e)
{
ContinuumElement2D element = factory.CreateElement(connectivity[e].CellType, connectivity[e].Vertices);
var elementWrapper = new Element()
{
ID = e, ElementType = element
};
foreach (Node node in element.Nodes)
{
elementWrapper.AddNode(node);
}
model.ElementsDictionary.Add(e, elementWrapper);
model.SubdomainsDictionary[subdomainID].Elements.Add(elementWrapper);
}
// Clamp boundary condition at left edge
double tol = 1E-10; //TODO: this should be chosen w.r.t. the element size along X
foreach (var node in model.Nodes.Where(node => Math.Abs(node.X) <= tol))
{
node.Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationX, Amount = 0.0
});
node.Constraints.Add(new Constraint()
{
DOF = StructuralDof.TranslationY, Amount = 0.0
});
}
// Apply concentrated load at the bottom right corner
double load = 1.0;
var cornerNode = model.Nodes.Where(
node => (Math.Abs(node.X - lengthX) <= tol) && (Math.Abs(node.Y - depthY) <= tol));
Assert.True(cornerNode.Count() == 1);
model.Loads.Add(new Load()
{
Amount = load, Node = cornerNode.First(), DOF = StructuralDof.TranslationY
});
// Define the solver
SkylineSolver solver = (new SkylineSolver.Builder()).BuildSolver(model);
// Define the fem analysis and the filter
double filterAreaRadius = 1.2;
var fem = new LinearFemAnalysis2DGeneral(model, solver);
var filter = new ProximityDensityFilter2D(model, filterAreaRadius);
// Run the test
TestCantileverBeam(fem, filter);
}
public Quad4(ElasticMaterial2D material, IElementDofEnumerator dofEnumerator)
: this(material)
{
this.dofEnumerator = dofEnumerator;
}
public static void WriteStiffnessOfContinuum2DStructure()
{
// ____ ____
// | | |
// |____|____|
// | | |
// |____|____|
// Model with 1 subdomain
var model = new Model();
model.SubdomainsDictionary.Add(subdomainID, new Subdomain(subdomainID));
// Material
double thickness = 1.0;
var material = new ElasticMaterial2D(StressState2D.PlaneStress)
{
YoungModulus = 2.1E7,
PoissonRatio = 0.3
};
var dynamicProperties = new DynamicMaterial(1.0, 0.0, 0.0, true);
// Generate mesh
double domainLength = 2.0;
double domainHeight = 2.4;
var meshGenerator = new UniformMeshGenerator2D <Node>(0.0, 0.0, domainLength, domainHeight, 10, 10);
(IReadOnlyList <Node> vertices, IReadOnlyList <CellConnectivity <Node> > cells) =
meshGenerator.CreateMesh((id, x, y, z) => new Node(id: id, x: x, y: y, z: z));
// Add nodes to the model
for (int n = 0; n < vertices.Count; ++n)
{
model.NodesDictionary.Add(n, vertices[n]);
}
// Add Quad4 elements to the model
var factory = new ContinuumElement2DFactory(thickness, material, dynamicProperties);
for (int e = 0; e < cells.Count; ++e)
{
ContinuumElement2D element = factory.CreateElement(cells[e].CellType, cells[e].Vertices);
var elementWrapper = new Element()
{
ID = e, ElementType = element
};
foreach (Node node in element.Nodes)
{
elementWrapper.AddNode(node);
}
model.ElementsDictionary.Add(e, elementWrapper);
model.SubdomainsDictionary[subdomainID].Elements.Add(elementWrapper);
}
// Solver
var solverBuilder = new SkylineSolver.Builder();
SkylineSolver solver = solverBuilder.BuildSolver(model);
// Structural problem provider
var provider = new ProblemStructural(model, solver);
// Linear static analysis
var childAnalyzer = new LinearAnalyzer(model, solver, provider);
var parentAnalyzer = new StaticAnalyzer(model, solver, provider, childAnalyzer);
// Run the analysis to build the stiffness matrix
parentAnalyzer.Initialize();
parentAnalyzer.BuildMatrices();
// Print the stiffness matrix
//var writer = new MatlabWriter();
var writer = new RawArraysWriter();
writer.WriteToMultipleFiles((SkylineMatrix)solver.LinearSystems[subdomainID].Matrix,
outputDirectory + @"\quad4_20x20_stiffness.txt");
}
