Structural design sensitivity analysis for composites undergoing elastoplastic deformation

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Nonlinear structural design sensitivity analysis for structures undergoing elastoplastic deformation is developed in this paper. The reference volume concept is used to unify the shape and nonshape design problems. The rate (time-independent) constitutive model is employed to account for the plastic material behavior. In the response analysis, a higher order approximation procedure of the integration of the rate constitutive equations is proposed. The direct differentiation approach (DDA) is adopted to obtain the design sensitivity equation for the response variables. A method of partial differentiation of the rate constitutive equations, which yields a set of linear differential equations in the partial derivatives of stresses and internal variables with respect to the design variable, is included in the DDA procedure. In Part I of this paper, the general theory is described. In Part II, the theory is applied to a composite laminated beam problem.

Original languageEnglish (US)
Pages (from-to)83-105
Number of pages23
JournalMathematical and Computer Modelling
Volume22
Issue number2
DOIs
StatePublished - 1995

Fingerprint

Design Sensitivity Analysis
Structural Design
Elasto-plastic
Structural design
Sensitivity analysis
Rate Equations
Composite
Constitutive Equation
Constitutive equations
Composite materials
Design Sensitivity
Higher Order Approximation
Laminated Composites
Laminated composites
Partial derivative
Constitutive Model
Constitutive models
Linear differential equation
Plastics
Differential equations

Keywords

  • Composites
  • Design sensitivity
  • Direct differentiation
  • Elastoplasticity
  • Reference volume

ASJC Scopus subject areas

  • Computer Science Applications
  • Modeling and Simulation

Cite this

Structural design sensitivity analysis for composites undergoing elastoplastic deformation. / Chattopadhyay, Aditi; Guo, R.

In: Mathematical and Computer Modelling, Vol. 22, No. 2, 1995, p. 83-105.

Research output: Contribution to journalArticle

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