A computational methodology for shape optimization of structures in frictionless contact

This paper presents a computational methodology for shape optimization of s tructures in frictionless contact. which provides a basis for developing us er-friendly and efficient shape optimization software. For evaluation it ha s been implemented as a subsystem of a general finite element software. The overall design and main principles of operation of this software are outli ned. The parts connected to shape optimization are described in more detail . The key building blocks are: analytic sensitivity analysis, an adaptive f inite element method, an accurate contact solver. and a sequential convex p rograming optimization algorithm. Results for three model application examp les are presented, in which the contact pressure and the effective stress a re optimized. (C) 2001 Elsevier Science B.V. All rights reserved.