//TODO: The reference crack paths were taken from solving this benchmark with previous versions of my code. Although
// they match visually the expected crack paths in publications, the exact ones must be searched.
private static void CheckCrackPropagationPath(HolesBenchmark benchmark)
{
// Left crack
var expectedPathLeft = new CartesianPoint[14];
expectedPathLeft[0] = new CartesianPoint(0, 2.85);
expectedPathLeft[1] = new CartesianPoint(1, 2.85);
expectedPathLeft[2] = new CartesianPoint(1.99995199459598, 2.85979839290530);
expectedPathLeft[3] = new CartesianPoint(2.99929868004322, 2.89593981354163);
expectedPathLeft[4] = new CartesianPoint(3.97604603958355, 2.68154626039464);
expectedPathLeft[5] = new CartesianPoint(4.90503431488344, 2.31143710844710);
expectedPathLeft[6] = new CartesianPoint(5.86904738124316, 2.04558224599815);
expectedPathLeft[7] = new CartesianPoint(6.84852018861039, 1.84400590902343);
expectedPathLeft[8] = new CartesianPoint(7.84391778239331, 1.74817464955572);
expectedPathLeft[9] = new CartesianPoint(8.84344037927620, 1.71727839864243);
expectedPathLeft[10] = new CartesianPoint(9.83984063952885, 1.80205175158095);
expectedPathLeft[11] = new CartesianPoint(10.8276024105833, 1.95802188860506);
expectedPathLeft[12] = new CartesianPoint(11.7939950361318, 2.21509248841279);
expectedPathLeft[13] = new CartesianPoint(12.7922235636750, 2.27458876391790);
Assert.Equal(expectedPathLeft.Length, benchmark.LeftCrack.CrackPath.Count);
int precisionLeft = 2;
for (int i = 0; i < expectedPathLeft.Length; ++i)
{
Assert.Equal(expectedPathLeft[i].X, benchmark.LeftCrack.CrackPath[i].X, precisionLeft);
Assert.Equal(expectedPathLeft[i].Y, benchmark.LeftCrack.CrackPath[i].Y, precisionLeft);
}
// Right crack
var expectedPathRight = new CartesianPoint[14];
expectedPathRight[0] = new CartesianPoint(20, 7.15);
expectedPathRight[1] = new CartesianPoint(19, 7.15);
expectedPathRight[2] = new CartesianPoint(18.0108334835354, 7.00320217063868);
expectedPathRight[3] = new CartesianPoint(17.0296410112692, 6.81017022414205);
expectedPathRight[4] = new CartesianPoint(16.0310132864364, 6.8625407043302);
expectedPathRight[5] = new CartesianPoint(15.1290705380152, 7.29439632669779);
expectedPathRight[6] = new CartesianPoint(14.1597696631581, 7.54027396700138);
expectedPathRight[7] = new CartesianPoint(13.1820518706078, 7.75019756770084);
expectedPathRight[8] = new CartesianPoint(12.1871075395841, 7.85062554270676);
expectedPathRight[9] = new CartesianPoint(11.1878028931389, 7.81333984044864);
expectedPathRight[10] = new CartesianPoint(10.1894240274647, 7.75642199987822);
expectedPathRight[11] = new CartesianPoint(9.20526987140180, 7.57910703405718);
expectedPathRight[12] = new CartesianPoint(8.22923499887833, 7.36149286260210);
expectedPathRight[13] = new CartesianPoint(7.24370720476692, 7.19197894861886);
Assert.Equal(expectedPathRight.Length, benchmark.RightCrack.CrackPath.Count);
int precisionRight = 2;
for (int i = 0; i < expectedPathRight.Length; ++i)
{
Assert.Equal(expectedPathRight[i].X, benchmark.RightCrack.CrackPath[i].X, precisionRight);
Assert.Equal(expectedPathRight[i].Y, benchmark.RightCrack.CrackPath[i].Y, precisionRight);
}
}
public static void TestPropagation()
{
string meshPath = Directory.GetParent(Directory.GetCurrentDirectory()).Parent.Parent.FullName
+ @"\MGroup.XFEM.Tests\Resources\holes_4442dofs.msh";
//string propagationPath = @"C:\Users\Serafeim\Desktop\GRACM\Benchmark_Fillet\Propagation\crack_growth.txt";
//string plotPath = @"C:\Users\Serafeim\Desktop\GRACM\Benchmark_Fillet\Plots";
//string timingPath = @"C:\Users\Serafeim\Desktop\GRACM\Benchmark_Fillet\Timing";
double growthLength = 1.0; // mm. Must be sufficiently larger than the element size.
var builder = new HolesBenchmark.Builder(meshPath, growthLength);
builder.HeavisideEnrichmentTolerance = 0.12;
// Usually should be in [1.5, 2.5). The J-integral radius must be large enough to at least include elements around
// the element that contains the crack tip. However it must not be so large that an element intersected by the
// J-integral contour is containes the previous crack tip. Thus the J-integral radius must be sufficiently smaller
// than the crack growth length.
builder.JintegralRadiusOverElementSize = 2.0;
// If you modify the following two parameters significantly, then you will need to redefine which nodes are expected
// to be enriched.
builder.TipEnrichmentRadius = 0.5;
builder.BC = HolesBenchmark.BoundaryConditions.BottomConstrainXDisplacementY_TopConstrainXDisplacementY;
builder.MaxIterations = 12;
//builder.LeftLsmPlotDirectory = plotLSM ? plotPathLeft : null;
//builder.RightLsmPlotDirectory = plotLSM ? plotPathRight : null;
// Run the benchmark
HolesBenchmark benchmark = builder.BuildBenchmark();
benchmark.InitializeModel();
//SuiteSparseSolver solver = new SuiteSparseSolver.Builder().BuildSolver(benchmark.Model);
var solverBuilder = new SkylineSolver.Builder();
solverBuilder.DofOrderer = new DofOrderer(new NodeMajorDofOrderingStrategy(), AmdReordering.CreateWithCSparseAmd());
SkylineSolver solver = solverBuilder.BuildSolver(benchmark.Model);
benchmark.Analyze(solver);
CheckCrackPropagationPath(benchmark);
}
