Quantitative justification of linearization in nonlinear hencky material problems

Weimin Han*, Hong-ci Huang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

1 Citation (Scopus)


The classical linear elasticity theory is based on the assumption that the size of the displacement gradient tensor is small. In many engineering applications, although the basic assumption is violated due to, e.g., corner singularities, the linear elasticity system is still used to approximate the reality. In this paper, we give a-posteriori error analysis for the effect of the linearization on solutions of nonlinear Hencky materials. A-posteriori error estimates for the effect of idealizations on solutions of more realistic materials will be given in forthcoming papers

Original languageEnglish
Pages (from-to)325-341
Number of pages17
JournalNumerical Functional Analysis and Optimization
Issue number3-4
Publication statusPublished - 1997
Externally publishedYes

Scopus Subject Areas

  • Analysis
  • Signal Processing
  • Computer Science Applications
  • Control and Optimization


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