Three dimensional boundary formulations for nonlinear thermal shape sensitivities
type: Item
instance of: scholarly article
title: Three dimensional boundary formulations for nonlinear thermal shape sensitivities
zbMATH Open document ID: 0768.73091
author: K. Guru Prasad
author: J. H. Kane
author: Hua Wang
published in: Computational Mechanics
publication date: 1993-05-16T00:00:00Z
review text: Implicit differentiation of the discretized boundary integral equations governing the conduction of heat in three-dimensional solid objects, subjected to nonlinear boundary conditions, and with temperature dependent material properties, is shown to generate an accurate and economical approach for the computation of shape sensitivities. The theoretical formulation for primary response (surface temperature and normal heat flux) sensitivities and secondary response (surface tangential heat flux components and internal temperature and heat flux components) sensitivities is given. Iterative strategies are described for the solution of the resulting sets of nonlinear equations and computational performances are examined.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 167092
zbMATH Keywords: multi-zone analysis
zbMATH Keywords: zone condensation strategies
zbMATH Keywords: implicit differentiation
zbMATH Keywords: iterative strategies
zbMATH Keywords: nonlinear boundary conditions
zbMATH Keywords: temperature dependent material properties
zbMATH Keywords: primary response
zbMATH Keywords: secondary response
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 167092