PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH COULOMB’S FRICTION FOR LOCKING MATERIAL

Autor:	Salah Bourichi, El Essoufi
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	locking material unilateral contact coulomb’s friction variational inequality penalty method finite element Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	International Journal of Mathematical Modelling & Computations, Vol 6, Iss 1 (WINTER), Pp 61-81 (2016)
Druh dokumentu:	article
ISSN:	2228-6225 2228-6233
Popis:	In this work, we study a unilateral contact problem with non local friction of Coulombbetween a locking material and a rigid foundation. In the first step , we present the mathematicalmodel for a static process, we establish the variational formulation in the form of a variationalinequality and we prove the existence and uniqueness of the solution. In the second step, usingthe penalty method we introduce the penalized problem numerical in the form of variationalequality where we replace the law behavior and the law contact of Sigorini . The we show theconvergence of the continuous penalty solution as the penalty parameter n tends towards infinity.Then, the analysis of the finite element discretized penalty method is carried out.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0070bebe158a4525825c724df82f8a59 Zobrazit plný text záznamu View record in DOAJ