Computational plasticity Archives - LSDYNA

Computational plasticity

Generalizing the yield function

The linear yield function given σ y = σ 0 y + h ε^-p is too simple for many applications….

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Computational plasticity

A material is said to have deformed plastically if it doesn’t return to its original shape after the load is…

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Radial Return

The most popular method for integrating the plasticity equations for isotropic von Mises plasticity is radial return, developed by Wilkins…

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Solving problems with path dependent materials

Most nonlinear material models, like the plasticity model, are described by ordinary di erential equations, where Σ and H are…

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The tension test

The most common mechanical test for characterizing metals is the tension test. A specimen is put in a machine which…

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The equations for isotropic von Mises plasticity

The evolution of the stress is described by a system of differential equations, where the superscript e stands for elastic….

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The consistency condition

An expression for in terms of the stress and strain rate is required in Equation 30 to complete the plasticity…

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The continuum tangent matrix for plastic flow

Substituting Equations 33 and 20 into Equation 7 gives the continuum tangent matrix, For isotropic elasticity, which allows the elasto-plastic…

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The consistent tangent matrix

In the evaluation of the tangent sti ness matrix, the material tangent matrix is required. The continuum tangent matrix was…

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