An introduction into standard elasto-plasticity is presented. Return mapping algorithms are introduced, and the consistent linearization of the equations ensuing from standard elasto-plastic models is given. Then, generalized plasticity is introduced, and its implicit integration is shown. Further, the theory is applied to a generalized plasticity model for sand. Subsequently, the same is done for hypoplasticity. It follows that standard plasticity, generalized plasticity and hypoplasticity can be numerically treated in a unified algorithmic setting. Finally, numerical examples are given to illustrate the theory.
KeywordsVoid Ratio Yield Surface Triaxial Test Strain Increment Generalize Plasticity
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