/// <summary>
/// Reverse Transforms the specified tensor using transformation matrix.
/// </summary>
/// <param name="tensor">The tensor.</param>
/// <param name="transformationMatrix">The transformation matrix.</param>
/// <returns>reversely transformed tensor</returns>
public static StrainTensor TransformBack(StrainTensor tensor, Matrix transformationMatrix)
{
var tensorMatrix = ToMatrix(tensor);
var rtd = transformationMatrix * tensorMatrix * transformationMatrix.Transpose();
var buf = FromMatrix(rtd);
return(buf);
}
/// <summary>
/// Subtract the specified tensors and return the result.
/// </summary>
/// <param name="left">The left.</param>
/// <param name="right">The right.</param>
/// <returns><see cref="left"/> - <see cref="right"/></returns>
public static StrainTensor Subtract(StrainTensor left, StrainTensor right)
{
var buf = new StrainTensor();
buf.E11 = left.E11 - right.E11;
buf.E22 = left.E22 - right.E22;
buf.E33 = left.E33 - right.E33;
buf.E12 = left.E12 - right.E12;
buf.E23 = left.E23 - right.E23;
buf.E31 = left.E31 - right.E31;
buf.E21 = left.E21 - right.E21;
buf.E32 = left.E32 - right.E32;
buf.E13 = left.E13 - right.E13;
return(buf);
}
/// <summary>
/// Adds the specified tensors and return the result.
/// </summary>
/// <param name="left">The left.</param>
/// <param name="right">The right.</param>
/// <returns><see cref="left"/> + <see cref="right"/></returns>
public static StrainTensor Add(StrainTensor left, StrainTensor right)
{
var buf = new StrainTensor();
buf.E11 = left.E11 + right.E11;
buf.E22 = left.E22 + right.E22;
buf.E33 = left.E33 + right.E33;
buf.E12 = left.E12 + right.E12;
buf.E23 = left.E23 + right.E23;
buf.E31 = left.E31 + right.E31;
buf.E21 = left.E21 + right.E21;
buf.E32 = left.E32 + right.E32;
buf.E13 = left.E13 + right.E13;
return(buf);
}
/// <summary>
/// Mutiplies the specified tensor with specified coefficient.
/// </summary>
/// <param name="tensor">The left.</param>
/// <param name="coefficient">The coefficient.</param>
/// <returns><see cref="tensor"/> * <see cref="coefficient"/></returns>
public static StrainTensor Multiply(StrainTensor tensor, double coef)
{
var buf = new StrainTensor();
buf.E11 = coef * tensor.E11;
buf.E22 = coef * tensor.E22;
buf.E33 = coef * tensor.E33;
buf.E12 = coef * tensor.E12;
buf.E23 = coef * tensor.E23;
buf.E31 = coef * tensor.E31;
buf.E21 = coef * tensor.E21;
buf.E32 = coef * tensor.E32;
buf.E13 = coef * tensor.E13;
return(buf);
}
/// <summary>
/// Generates a tensor from defined matrix
/// </summary>
/// <param name="matrix">The matrix.</param>
/// <returns>generated tensor</returns>
public static StrainTensor FromMatrix(Matrix matrix)
{
var buf = new StrainTensor();
buf.E11 = matrix[0, 0];
buf.E22 = matrix[1, 1];
buf.E33 = matrix[2, 2];
buf.E12 = matrix[0, 1];
buf.E21 = matrix[1, 0];
buf.E13 = matrix[0, 2];
buf.E31 = matrix[2, 0];
buf.E23 = matrix[1, 2];
buf.E32 = matrix[2, 1];
return(buf);
}
/// <summary>
/// Converts the defined tensor into a 3x3 matrix.
/// </summary>
/// <param name="tensor">The tensor.</param>
/// <returns>generated matrix</returns>
public static Matrix ToMatrix(StrainTensor tensor)
{
var tens = new Matrix(3, 3);
tens[0, 0] = tensor.E11;
tens[1, 1] = tensor.E22;
tens[2, 2] = tensor.E33;
tens[0, 1] = tensor.E12;
tens[1, 0] = tensor.E21;
tens[0, 2] = tensor.E13;
tens[2, 0] = tensor.E31;
tens[1, 2] = tensor.E23;
tens[2, 1] = tensor.E32;
return(tens);
}