OOF2: The Manual

`CubicRank4Tensor`
	6.5.1. Base RegisteredClasses

Name

CubicRank4Tensor — Representations of a cubic 4th rank tensor.

Subclasses

Subclasses are listed as they appear in the GUI and (in parentheses) as they appear in scripts.

Cij (CubicRank4TensorCij) -- Explicit representation in terms of tensor components.
Lame (CubicRank4TensorLame) -- Cubic rank 4 tensor in terms of Lame coefficients.
E and nu (CubicRank4TensorEnu) -- Cubic rank 4 tensor in terms of Young's modulus and Poisson ratio.
Bulk and Shear (CubicRank4TensorBulkShear) -- Cubic rank 4 tensor in terms of bulk and shear moduli.

Description

The CubicRank4Tensor represents rank 4 tensor properties with cubic rotational symmetry, such as cubic elasticity. The cubic rank 4 tensor has three independent components, as shown in Figure 6.55. Because the elasticity literature uses many different representations of these two components, OOF2 allows you to enter the tensor in a variety of formats.

	Note
	The word “rank” has different meanings in different fields. Here it means the number of indices on a tensor. $C_{ijkl}$ is a rank 4 tensor.

Figure 6.55. Structure of a Cubic Fourth Rank Tensor

Structure of a cubic rank 4 tensor. For an explanation of the symbols, see Figure 6.57.


`ConditionSelector`		`DataOperation`