Level set method for optimization of contact problems

Level Set Method for Shape and Topology Optimization of Contact Problems

This paper deals with topology and shape optimization of an elastic contact problems. The shape optimization problem for elastic contact problem is formulated. Shape as well as topological derivatives formulae of the cost functional are provided using material derivative and asymptotic expansion methods, respectively. These derivatives are employed to formulate necessary optimality condition fo...

A BINARY LEVEL SET METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION

This paper proposes an effective algorithm based on the level set method (LSM) to solve shape and topology optimization problems. Since the conventional LSM has several limitations, a binary level set method (BLSM) is used instead. In the BLSM, the level set function can only take 1 and -1 values at convergence. Thus, it is related to phase-field methods. We don’t need to solve the Hamilton-Jac...

Shape and Topology Optimization of Elastic Contact Problems using the Piecewise Constant Level Set Method

This paper considers the shape and topology optimization of the elastic contact problems using the level set approach. A piecewise constant level set method is used to represent interfaces rather than the standard method. The piecewise constant level set function takes distinct constant values in each subdomain of a whole design domain. Using a two-phase approximation the original structural op...

Topology and Shape Optimization of Contact Problems using a Level Set Method

1. Abstract This paper deals with the numerical solution of a topology and shape optimization problems of an elastic body in unilateral contact with a rigid foundation. The contact problem is described by an elliptic inequality of the second order governing a displacement field. The optimization problem consists in finding, in a contact region, such shape of the boundary of the domain occupied ...

A Level Set Method for Inverse Problems