A Continuation Problem for Computing Solutions of Discretised Evolution Problems. Part II -- Application to Quasi-Static Contact Problems with Friction.

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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Source https://hal.science/hal-00877739
Author Ligursky, Tomas, Renard, Yves
Maintainer CCSD
Last Updated May 9, 2026, 05:32 (UTC)
Created May 9, 2026, 05:32 (UTC)
Identifier hal-00877739
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Department of Mathematical Analysis and Applications of Mathematics (MAaAM PrF UP) ; Faculty of Science [Univ Palacký] ; Palacky University Olomouc-Palacky University Olomouc
creator Ligursky, Tomas
date 2013-10-23T00:00:00
harvest_object_id 263cd3cc-bdcf-45e1-b0be-9bec2b1ab5fe
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-04-24T00:00:00
set_spec type:UNDEFINED