6533b884fe1ef96bd12e06eb

RESEARCH PRODUCT

Shape optimization in contact problems based on penalization of the state inequality

Jaroslav HaslingerPekka NeittaanmäkiTimo Tiihonen

subject

msc:49M30msc:73k40frictionless plane contact [keyword]minimization of the total potential energy [keyword]msc:74M15linear-elastic sheet [keyword]rigid foundation [keyword]msc:74P99contact boundary curve [keyword]family of penalized state problems [keyword]existence [keyword]msc:49J40convergence [keyword]nonlinear programming problem [keyword]msc:73T05shape optimization [keyword]box constraints [keyword]msc:74S05linear equality constraint [keyword]msc:74A55linear inequality constraints [keyword]

description

The paper deals with the approximation of optimal shape of elastic bodies, uni­laterally supported by a rigid, frictionless foundation. Original state inequality, describing the behaviour of such a body is replaced by a family of penalized state problems. The relation between optimal shapes for the original state inequality and those for penalized state equations is established. peerReviewed

http://urn.fi/URN:NBN:fi:jyu-201703311833