Computational Methods for Plasticity Theory and Applications by EA de Souza Neto, Prof. D Periæ, Prof. DRJ Owen

By EA de Souza Neto, Prof. D Periæ, Prof. DRJ Owen

The topic of computational plasticity encapsulates the numerical tools used for the finite point simulation of the behaviour of quite a lot of engineering fabrics thought of to be plastic – i.e. those who endure an everlasting swap of form in line with an utilized strength. Computational tools for Plasticity: thought and purposes describes the idea of the linked numerical equipment for the simulation of a variety of plastic engineering fabrics; from the best infinitesimal plasticity thought to extra complicated harm mechanics and finite pressure crystal plasticity types. it's cut up into 3 elements - uncomplicated ideas, small traces and massive traces. starting with undemanding idea and progressing to complicated, advanced conception and laptop implementation, it really is appropriate to be used at either introductory and complex degrees. The book:

  • Offers a self-contained textual content that enables the reader to benefit computational plasticity conception and its implementation from one volume.
  • Includes many numerical examples that illustrate the applying of the methodologies described.
  • Provides introductory fabric on similar disciplines and systems corresponding to tensor research, continuum mechanics and finite components for non-linear reliable mechanics.
  • Is followed by means of purpose-developed finite point software program that illustrates a few of the options mentioned within the textual content, downloadable from the book’s better half website.

This accomplished textual content will attract postgraduate and graduate scholars of civil, mechanical, aerospace and fabrics engineering in addition to utilized arithmetic and classes with computational mechanics elements. it's going to even be of curiosity to investigate engineers, scientists and software program builders operating within the box of computational strong mechanics.

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33 ELEMENTS OF TENSOR ANALYSIS We remark that throughout this text we shall use the term derivative also as a synonym for gradient. We will also use the notation dY dX to denote the gradient and when Y is a function of two or more arguments, we may use the notation ∂Y ∂X to emphasise that the derivative is taken with respect to X having the other function arguments as parameters. Example. A scalar function The above concepts are probably better understood by applying them to the trivial case of a scalar function of a scalar argument.

In Chapter 7, we introduce the essential numerical methods required in the finite element solution of initial boundary value problems with elastoplastic underlying material models. Applications of the von Mises model with both isotropic and mixed isotropic/kinematic hardening are described in detail. The most relevant subroutines of the program HYPLAS are also listed and explained in detail. Chapter 8 focuses on the detailed description of the implementation of the basic plasticity models based on the Tresca, Mohr–Coulomb and Drucker–Prager yield criteria.

Light-face with indices Bij , Bαβ , . : components of the corresponding tensors. Important exceptions: A (set of thermodynamical forces), H (generalised elastoplastic hardening modulus), J (generalised viscoplastic hardening constitutive function). • Italic bold-face minuscules p, v, . : points, vectors and vector-valued functions. Light-face with indices pi , pα , . : coordinates (components) of the corresponding points (vectors). Important exception: s (stress tensor deviator). • Sans-serif (upright) bold-face letters A, a, .

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