Shape and Topology Optimization of Elastic Contact Problems using the Piecewise Constant Level Set Method
نویسنده
چکیده
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 optimization problem is reformulated as an equivalent constrained optimization problem in terms of the piecewise level set function. The necessary optimality condition is formulated. The finite difference method is applied as the approximation method. Numerical examples are provided and discussed.
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