Computational contact mechanics: geometry, detection and numerical techniques

Abstract : The goal of this work is to derive a consistent framework for the treatment of contact problems within the Finite Element Method using the Node-to-Segment discretization. Three main components of the computational contact have been considered: geometry, detection and resolution techniques. For the sake of completeness, the mechanical aspects of contact as well as numerous numerical algorithms and methods have been discussed. A new mathematical formalism called "s-structures" has been employed through the entire dissertation. It results in a comprehensive coordinate-free notations and provides an elegant apparatus, available for other mechanical and physical applications. Several original ideas and extensions of standard techniques have been proposed and implemented in the finite element software ZéBuLoN (ZSeT). Numerical case studies, presented in the dissertation, demonstrate the performance and robustness of the employed detection and resolution schemes.
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  • HAL Id : pastel-00657305, version 1

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Vladislav Yastrebov. Computational contact mechanics: geometry, detection and numerical techniques. Materials. École Nationale Supérieure des Mines de Paris, 2011. English. ⟨NNT : 2011ENMP0043⟩. ⟨pastel-00657305⟩

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