Rapid implementation of material models within finite element analysis

C.M. Sands

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


This paper presents a simple procedure for obtaining a numerical approximation to the consistent tangent matrix, together with a straightforward implicit (Euler backward) integration algorithm. The combined algorithm is used to incorporate four models into the commercial finite element package ABAQUS/Standard; illustrating how it can be used to rapidly implement matefial models within finite element analysis. The models have been chosen, not only because they help to illuminate the structure of the algorithm, but also because they illustrate its wide ranging applicability and permit the procedure to be tested against analytical results and an existing, well established, model. (C) 2009 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)286-296
Number of pages11
JournalComputational Materials Science
Issue number1
Publication statusPublished - Nov 2009


  • Consistent tangent matrix
  • Finite element
  • Bone
  • Bodner-Partom
  • Viscoplastic
  • Modelling
  • Constitutive-equations
  • Mechanical-properties
  • Rats


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