Line search techniques for elasto-plastic finite element computations in geomechanics

Horng-Wen Wu, G. F. Chiou, H. M. Chou

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we present a globally convergent modification of Newton's method for integrating constitutive equations in elasto-plasticity of geomaterials. Newton's method is known to be q-quadratically convergent when the current solution approximation is adequate. Unfortunately, it is not unusual to expend significant computational time in order to achieve satisfactory results. We will present a technique which can be used when the Newton step is unsatisfactory. This scheme can be considered as a modified version of the traditional concept of backtracking along the Newton direction if a full if Newton step provides unsatisfactory results. The method is also known as line search technique. The technique is applied to the fully implicit Newton algorithm for a hardening or softening general isotropic geomaterials at the constitutive level. Various solution details and visualizations are presented, which emerge from the realistic modelling of highly non-linear constitutive behaviour observed in the analysis of cohesionless granular materials.

Original languageEnglish
Pages (from-to)115-125
Number of pages11
JournalCommunications in Numerical Methods in Engineering
Volume17
Issue number2
DOIs
Publication statusPublished - 2001 Feb 1

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics

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