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

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

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)115-125
頁數11
期刊Communications in Numerical Methods in Engineering
17
發行號2
DOIs
出版狀態Published - 2001 2月 1

All Science Journal Classification (ASJC) codes

  • 軟體
  • 建模與模擬
  • 工程 (全部)
  • 計算機理論與數學
  • 應用數學

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