Structural rigidity optimization with frictionless unilateral contact
نویسندگان
چکیده
منابع مشابه
On the Frictionless Unilateral Contact of Two Viscoelastic Bodies
We consider a mathematical model which describes the quasistatic contact between two deformable bodies. The bodies are assumed to have a viscoelastic behavior that we model with Kelvin-Voigt constitutive law. The contact is frictionless and is modeled with the classical Signorini condition with zero-gap function. We derive a variational formulation of the problem and prove the existence of a un...
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In this paper a general framework for topology optimization of structures in unilateral contact is developed. A linear elastic structure that is unilaterally constrained by rigid supports is considered. The supports are modeled by Signorini’s contact conditions which in turn are treated by the augmented Lagrangian approach as well as by a smooth approximation. The latter approximation must not ...
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The analysis of unilateral sliding contact in elasticity is equivalent to a minimisation problem subjected to a set of inequality constraints. However, the presence of boundary discontinuities, such as those stemming from the spatial discretisation, appears as a major problem to determine the set of active constraints. This work introduces a smoothing technique of the master surface resorting t...
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Approved: Thesis Supervisor Title and Department
متن کاملA Frictionless Contact Problem for Viscoelastic Materials
We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so-called foundation. The body is assumed to have a viscoelastic behavior that we model with the KelvinVoigt constitutive law. The contact is frictionless and is modeled with the well-known Signorini condition in a form with a zero gap function. We present two alternative yet equivalent w...
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ژورنال
عنوان ژورنال: International Journal of Solids and Structures
سال: 2007
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2006.06.010