A Continuation Problem for Computing Solutions of Discretised Evolution Problems. Part II -- Application to Quasi-Static Contact Problems with Friction. - Archive ouverte HAL Access content directly
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A Continuation Problem for Computing Solutions of Discretised Evolution Problems. Part II -- Application to Quasi-Static Contact Problems with Friction.

Abstract

A continuation problem for finding successive solutions of discretised plane quasi-static contact problems with friction is proposed and studied. Various formulations of the first-order system are derived and results of existence and uniqueness of its solutions are obtained. Conditions guaranteeing continuation of a solution curve along a direction from the first-order system are given. Numerical continuation of solution curves is performed on examples with non-smooth folds.
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Dates and versions

hal-00877739 , version 1 (29-10-2013)

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  • HAL Id : hal-00877739 , version 1

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Tomas Ligursky, Yves Renard. A Continuation Problem for Computing Solutions of Discretised Evolution Problems. Part II -- Application to Quasi-Static Contact Problems with Friction.. 2013. ⟨hal-00877739⟩
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