The following multilinear elasticity topic is available:
Mechanical APDL provides a capability to model nonlinear (multilinear) elastic materials (input using TB,MELAS). Unlike plasticity, no energy is lost. (The process is conservative.)
Figure 4.23: Stress-Strain Behavior for Nonlinear Elasticity represents the stress-strain behavior of this option. Note that the material unloads along the same curve, so that no permanent inelastic strains are induced.
The total strain components {εn} are used to compute an equivalent total strain measure:
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is used with the input stress-strain curve to get an equivalent value of stress σe .
The elastic (linear) component of strain can then be calculated:
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and the "plastic" or nonlinear portion is therefore:
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In order to avoid an unsymmetric matrix, only the symmetric portion of the tangent stress-strain matrix is used:
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which is the secant stress-strain matrix.