Computational methods for plasticity theory and applications

  • Solid books

    Plasticity theory deals with yielding of materials, often under complex states of stress.
    Plastic deformation, unlike elastic deformation, is permanent in the sense that after stresses are removed the shape change remains..

  • Plasticity theory deals with yielding of materials, often under complex states of stress.
    Plastic deformation, unlike elastic deformation, is permanent in the sense that after stresses are removed the shape change remains.
Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models.

Mathematical model for describing material deformation under stress

In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory.
In this case, the undeformed and deformed configurations of the continuum are significantly different, requiring a clear distinction between them.
This is commonly the case with elastomers, plastically-deforming materials and other fluids and biological soft tissue.

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