Sensitivity analysis of functionals with respect to shape for dynamically loaded nonlocal thermoelastic solids
type: Item
instance of: scholarly article
title: Sensitivity analysis of functionals with respect to shape for dynamically loaded nonlocal thermoelastic solids
zbMATH Open document ID: 0661.73005
DOI: 10.1016/0020-7225(88)90089-4
published in: International Journal of Engineering Science
publication date: 1988-01-01T00:00:00Z
review text: In this investigation, a shape sensitivity analysis is performed for a dynamically loaded nonlocal thermoelastic solid body. Considering a general integral functional of system's response in a finite interval of time, the total variation of the functional with respect to shape variations is obtained through the adjoint variable method and the material derivative concept of structural optimization. Sensitivity expressions are derived in terms of primary and adjoint functions, and the so-called deformation velocity field of shape variations.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4081027
zbMATH Keywords: inverse problem
zbMATH Keywords: free boundary problems
zbMATH Keywords: time-independent domains
zbMATH Keywords: total variation of the general performance criterion with respect to shape variations
zbMATH Keywords: perturbations
zbMATH Keywords: adjoint equations of integro-differential type solved backwards in time
zbMATH Keywords: primary equations integrated forwards
zbMATH Keywords: shape sensitivity analysis
zbMATH Keywords: dynamically loaded nonlocal thermoelastic solid body
zbMATH Keywords: general integral functional of system's response
zbMATH Keywords: adjoint variable method
zbMATH Keywords: material derivative concept of structural optimization
author: R. Alsan Meric
MaRDI profile type: Publication
full work available at URL: 0020-7225(88)90089-4
OpenAlex ID: W2126443770
cites work: Sensitivity analysis for a general performance criterion in micropolar thermoelasticity
cites work: On nonlocal elasticity
cites work: Theory of nonlocal thermoelasticity
cites work: Theory of nonlocal generalised thermoelasticity
cites work: Dynamic sensitivity analysis of material and load parameters in nonlocal elasticity
cites work: Design sensitivity analysis of structural systems
cites work: Q4725871
description: scientific article; zbMATH DE number 4081027