X.B Coordinate system transformations

Appendix X.B
Coordinate system transformations

The modification of coordinate system into which the components of vectorial or tensorial results are expressed is a common operation performed when post-processing finite element results. To perform the transformation some vectorial and tensorial calculation is necessary. A summary of the theoretical background necessary to understand the operations performed with FeResPost.

X.B.1 Components of vectors and tensors
X.B.1.1 Vectors in a Cartesian coordinate system
X.B.1.2 Order 2 tensor in a Cartesian coordinate system
X.B.1.3 Cylindrical and spherical coordinate systems
X.B.2 Transformation of components
X.B.2.1 Transformation of vector components
X.B.2.2 Transformation of tensor components
X.B.3 Rotation of a coordinate system
X.B.4 Modification of coordinate systems
X.B.4.1 Local coordinate systems
X.B.4.2 Global coordinate systems
X.B.4.3 Projected coordinate systems
X.B.4.4 Local coordinate systems of CQUAD4 elements
X.B.4.5 Local coordinate systems of 3D elements
X.B.5 Coordinate systems and laminate properties
X.B.6 Eigenvectors of symmetric tensors and orthogonal matrices
X.B.7 Building rotation tensor from rotation vector

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Appendix X.BCoordinate system transformations

Appendix X.B
Coordinate system transformations