منابع مشابه
Topology Optimization of Two Linear Elastic Bodies in Unilateral Contact
Abstract The optimal solutions are most sensitive to the boundary conditions when performing topology optimization of components. In many applications the design domain of the components are subjected to unilateral contact conditions. In order to obtain relevant conceptual designs by topology optimization of such systems, the contact conditions should be included explicitly in the optimization....
متن کاملA Contact Problem of an Elastic Layer Compressed by Two Punches of Different Radii
The elasticity mixed boundary values problems dealing with half-space contact are generally well resolved. A large number of these solutions are obtained by using the integral transformation method and methods based the integral equations. However, the problems of finite layer thicknesses are less investigated, despite their practical interests. This study resolves a quasi-stationary problem of...
متن کاملContact between nonlinearly elastic bodies
We study the contact between nonlinearly elastic bodies by variational methods. After the formulation of the mechanical problem we provide existence results based on polyconvexity and on quasiconvexity. Then we derive the Euler-Lagrange equation as a necessary condition for minimizers. Here Clarke’s generalized gradients are the essential tool to treat the nonsmooth obstacle condition.
متن کاملUnilateral Contact of Elastic Bodies (moment Theory)
Boundary contact problems of statics of the moment (couplestress) theory of elasticity are studied in the case of a unilateral contact of two elastic anisotropic nonhomogeneous media. A problem, in which during deformation the contact zone lies within the boundaries of some domain, and a problem, in which the contact zone can extend, are given a separate treatment. Concrete problems suitable fo...
متن کاملStick, partial slip and sliding in the plane strain micro contact of two elastic bodies
The plane strain problem of a curved elastic body pressed against an elastic half-space is considered. The effect of adhesion is included through the use of surface energy in a manner similar to the well-known JKR theory for spherical contacts. The compressive normal force is held constant while a tangential force is gradually increased from zero. The contact is characterized by complete stick ...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1980
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1980.103843