A semi-smooth Newton and Primal–Dual Active Set method for Non-Smooth Contact Dynamics

Abide, Stéphane; Barboteu, Mikaël; Cherkaoui, Soufiane; Dumont, Serge

doi:10.1016/j.cma.2021.114153

Cited by 6 publications

(2 citation statements)

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“…In fact, the boundary conditions on subsets A and I are directly imposed thanks to a semi-smooth Newton method. Recall that these methods have been developed recently for unilateral contact conditions [51,52,53,54,55], and in particular in [56], supplemented by those in [57,58]. This paper is organized into six sections.…”

Section: Introductionmentioning

confidence: 99%

An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues

Barboteu,

Bonaldi,

Dumont

et al. 2024

Computer Methods in Applied Mechanics and Engineering

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Section: Introductionmentioning

confidence: 99%

An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues

Barboteu,

Bonaldi,

Dumont

et al. 2024

Computer Methods in Applied Mechanics and Engineering

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“…In fact, the boundary conditions are directly imposed thanks to a semi-smooth Newton method, and therefore their implementation could be achieved without much effort. On the basis of these prerequisites, the objective of this work is to provide a generalisation of the semi-smooth Newton method-PDAS approach for hyperelastic contact problems [34,35] and for those in rigid multi-body dynamics [33,36]. Particular care is paid to the development of these algorithms for solving contact and friction laws in the nonregular framework.…”

Section: Introductionmentioning

confidence: 99%

Unified primal-dual active set method for dynamic frictional contact problems

Abide

Barboteu

Cherkaoui

et al. 2022

Fixed Point Theory Algorithms Sci Eng

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In this paper, we propose a semi-smooth Newton method and a primal-dual active set strategy to solve dynamical contact problems with friction. The conditions of contact with Coulomb’s friction can be formulated in the form of a fixed point problem related to a quasi-optimization one thanks to the semi-smooth Newton method. This method is based on the use of the primal-dual active set (PDAS) strategy. The main idea here is to find the correct subset $\mathcal{A}$ A of nodes that are in contact (active) opposed to those which are not in contact (inactive). For each case, the nonlinear boundary condition is replaced by a suitable linear one. Numerical experiments on both hyper-elastic problems and rigid granular materials are presented to show the efficiency of the proposed method.

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An efficient computational procedure to solve the biological nonlinear Leptospirosis model using the genetic algorithms

et al. 2023

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A semi-smooth Newton and Primal–Dual Active Set method for Non-Smooth Contact Dynamics

Cited by 6 publications

References 32 publications

An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues

An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues

Unified primal-dual active set method for dynamic frictional contact problems

An efficient computational procedure to solve the biological nonlinear Leptospirosis model using the genetic algorithms

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