Development of a Finite-Element-Based Design Sensitivity Analysis for Buckling and Postbuckling of Composite Plates

Ruijiang Guo, Aditi Chattopadhyay

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A finite element based sensitivity analysis procedure is developed for buckling and postbuckling of composite plates. This procedure is based on the direct differentiation approach combined with the reference volume concept. Linear elastic material model and nonlinear geometric relations are used. The sensitivity analysis technique results in a set of linear algebraic equations which are easy to solve. The procedure developed provides the sensitivity derivatives directly from the current load and responses by solving the set of linear equations. Numerical results are presented and are compared with those obtained using finite difference technique. The results show good agreement except at points near critical buckling load where discontinuities occur. The procedure is very efficient computationally.

Original languageEnglish (US)
Pages (from-to)255-274
Number of pages20
JournalMathematical Problems in Engineering
Volume1
Issue number3
DOIs
StatePublished - 1995

Fingerprint

Design Sensitivity Analysis
Postbuckling
Composite Plates
Linear equations
Buckling
Sensitivity analysis
Finite Element
Composite materials
Sensitivity Analysis
Linear equation
Derivatives
Finite Difference Technique
Elastic Material
Algebraic Equation
Discontinuity
Derivative
Numerical Results

Keywords

  • buckling and postbuckling
  • Composite plates
  • finite-element model
  • sensitivity analysis

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

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abstract = "A finite element based sensitivity analysis procedure is developed for buckling and postbuckling of composite plates. This procedure is based on the direct differentiation approach combined with the reference volume concept. Linear elastic material model and nonlinear geometric relations are used. The sensitivity analysis technique results in a set of linear algebraic equations which are easy to solve. The procedure developed provides the sensitivity derivatives directly from the current load and responses by solving the set of linear equations. Numerical results are presented and are compared with those obtained using finite difference technique. The results show good agreement except at points near critical buckling load where discontinuities occur. The procedure is very efficient computationally.",
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AB - A finite element based sensitivity analysis procedure is developed for buckling and postbuckling of composite plates. This procedure is based on the direct differentiation approach combined with the reference volume concept. Linear elastic material model and nonlinear geometric relations are used. The sensitivity analysis technique results in a set of linear algebraic equations which are easy to solve. The procedure developed provides the sensitivity derivatives directly from the current load and responses by solving the set of linear equations. Numerical results are presented and are compared with those obtained using finite difference technique. The results show good agreement except at points near critical buckling load where discontinuities occur. The procedure is very efficient computationally.

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