Plasticity pp 251-267 | Cite as

Introduction to Finite Element Analysis

  • Weimin Han
  • B. Daya Reddy
Chapter
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 9)

Abstract

In the previous two chapters we have formulated and analyzed the primal and dual variational formulations of the elastoplasticity problem. Later on, we will study various numerical methods to solve the variational problems. In all the numerical methods to be considered, we will use finite differences to approximate the time derivative and use the finite element method to discretize the spatial variables. The finite elemfent method is widely used for solving boundary value problems of partial differential equations arising in physics and engineering, especially solid mechanics. The method is derived from discretizing the weak formulation of a boundary value problem. The analysis of the finite element method is closely related to that of the weak formulation of the boundary value problem.

Keywords

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Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Weimin Han
    • 1
  • B. Daya Reddy
    • 2
    • 3
  1. 1.Department of MathematicsUniversity of IowaIowa CityUSA
  2. 2.Department of Mathematics and Applied MathematicsUniversity of Cape TownRondeboschSouth Africa
  3. 3.Centre for Research in Computational and Applied MechanicsUniversity of Cape TownRondeboschSouth Africa

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