Shape and topology optimization of contact problems by level set methods
نویسندگان
چکیده
منابع مشابه
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...
متن کاملLevel 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...
متن کاملTopology 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 ...
متن کاملShape and Topology Optimization by the Level Set Method
Numerical methods of shape and topology optimization based on the level set representation and on shape di erentiation make possible topology changes during the optimization process. But they do not solve the inherent problem of illposedness of shape optimization which manifests itself in the existence of many local minima, usually having di erent topologies. The reason is that the level set me...
متن کاملAn extended level set method for shape and topology optimization
In this paper, the conventional level set methods are extended as an effective approach for shape and topology optimization by the introduction of the radial basis functions (RBFs). The RBF multiquadric splines are used to construct the implicit level set function with a high level of accuracy and smoothness and to discretize the original initial value problem into an interpolation problem. The...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2007
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200700128