Anisotropic materials

For elastic materials, stresses are generally derivable from a strain energy density function. It can then be shown that there are at most 21 independent constants and that the matrix of elastic constants is symmetric.

A material having 21 independent elastic constants is fully anisotropic. When the material matrix is fully populated there is coupling between the shear and normal terms and between the shear terms, which means that a shear strain can produce a normal stress. Most materials have far fewer than 21 elastic constants.

The base vectors used to establish the material matrix must be defined and fixed in the material by using material orientation vectors.

To fully characterize an anisotropic material it is also necessary to compute thermal strains. The thermal strains in an anisotropic material are computed from:

The vector of thermal expansion coefficients, α, must be defined with respect to the same basis vectors used to establish the matrix of elastic constants. ΔT is the difference between the material temperature and a strain-free reference temperature.

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Understanding stress-strain yield stress input for Samcef

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Anisotropic Material Definition dialog box (Simcenter Samcef Structure)

Viscoelastic properties in the Material dialog box (Simcenter Samcef)

Viscoplastic properties in the Material dialog box (Simcenter Samcef)

Yield criterion in the Elastoplastic Material dialog box (Simcenter Samcef)

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Anisotropic materials, Simcenter 3D 2021.1 Series

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