A Study on 3D Contact of Rough Surfaces Considering Finite Elastoplasticity

Bandeira, Alex Alves; Pimenta, Paulo de Mattos; Wriggers, Peter

doi:10.1007/978-1-4020-6405-0_14

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“…See for example the monographs [1,2,3,4] and the references therein. An augmented Lagrangian method is applied to solve the contact problem, see [5,6,7,8,9] and the technique used to solve three dimensional contact problems with friction, see [10,11], in finite deformations was already developed and described in [12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Solving Frictional Contact Problems within the Bipotential Framework

Boudaia¹,

Bousshine²,

Chaaba

2012

KEM

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The main objective of this paper is to present a theoretical and numerical analysis of frictional contact problems for large deformation elasto-plastic based on the finite element method (FEM) and the mathematical programming. The study is done on an elasto-plastic material obeying to the von Mises criterion. The Coulomb’s friction contact is used to implement the frictional boundary conditions and is formulated by the bipotential concept leading us to minimize only one variational principle of minimum in displacement. In order to follow up the sequences of large deformations, we have used the sequential analysis procedure; it consists in the updating of material properties and geometrical configuration after each sequence.

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