Optimal shape remodelling of linearly elastic plates using finite element methods

The optimality conditions for the optimal shape remodelling of linearly elastic plates are obtained by introducing the total variation of a function defined on a variable domain, although the variation of a function has been taken on a fixed domain in most literature on calculus of variations. Using these optimality conditions, a solution scheme involving an iterative algorithm is proposed, together with several numerical examples.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/50094/1/1620201006_ftp.pd