The numerical computation of compressed states of nonlinearly elastic anisotropic plates

Pablo V Negrón Marrero, Carlos Carbonera

Research output: Contribution to journalArticle

Abstract

In this paper we study the numerical computation of the compressed states of nonlinearly elastic anisotropic circular plates. The singular boundary value problem giving the compressed states depend parametrically on the applied pressure at the edge of the plate. We give a finite difference approximation of this problem and derive bounds for the global error by using the techniques of Brezzi, Rappaz and Raviart for the finite dimensional approximation of nonlinear problems. Some numerical results are given for a class of materials whose constitutive functions reflect the standard Poisson ratio effects. © 1989 Springer-Verlag.

Original languageEnglish
Pages (from-to)93-107
Number of pages15
JournalNumerische Mathematik
Volume56
Issue number1
DOIs
Publication statusPublished - Jan 1989

Fingerprint

Finite-dimensional Approximation
Circular Plate
Singular Boundary Value Problem
Finite Difference Approximation
Poisson's Ratio
Numerical Computation
Nonlinear Problem
Numerical Results
Standards
Class

Keywords

  • Subject Classification: AMS(MOS): 65N30, CR: G1.8

Cite this

Negrón Marrero, Pablo V ; Carbonera, Carlos. / The numerical computation of compressed states of nonlinearly elastic anisotropic plates. In: Numerische Mathematik. 1989 ; Vol. 56, No. 1. pp. 93-107.
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The numerical computation of compressed states of nonlinearly elastic anisotropic plates. / Negrón Marrero, Pablo V; Carbonera, Carlos.

In: Numerische Mathematik, Vol. 56, No. 1, 01.1989, p. 93-107.

Research output: Contribution to journalArticle

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