Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method
type: Item
instance of: scholarly article
title: Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method
zbMATH Open document ID: 0790.73075
DOI: 10.1016/0020-7683(94)90091-4
author: Xin Wei
author: Abhijit Chandra
author: Liang-Jenq Leu
author: S. Mukherjee
published in: International Journal of Solids and Structures
publication date: 1994-06-28T00:00:00Z
review text: This paper is concerned with the optimal shape design of solids undergoing small-strain, small-rotation, elasto-viscoplastic deformation. Shape sensitivities for this class of problems are determined by using a direct differentiation approach to the governing boundary element method (BEM) equations of the problem. The standard BEM and the sensitivity equations are discretized and solved numerically. Shape optimization is carried out by coupling the standard and sensitivity analyses with an optimizer. The optimization algorithm chosen here uses sequential quadratic programming to obtain the desired optimal shape of a body in an iterative manner. Numerical solutions for optimal shapes of cutouts in plates (two-dimensional plane stress) are presented.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 530074
zbMATH Keywords: small-strain small-rotation deformation
zbMATH Keywords: direct differentiation approach
zbMATH Keywords: sequential quadratic programming
zbMATH Keywords: optimal shapes of cutouts in plates
MaRDI profile type: Publication
full work available at URL: 0020-7683(94)90091-4
OpenAlex ID: W2047478763
description: scientific article; zbMATH DE number 530074