Abstract:This paper presents a numerical solution to shape optimization problems of continua minimizing steady-state thermal elastic deformation. The potential energy by thermal elastic strain was used as an objective functional. Coupling boundary value problems of partial differential equations for steady-state heat-transfer and linear elastic deformation were employed as state equations. The shape gradient function of the shape optimization problem was theoretically derived using the Lagrange multiplier method, or th… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.