A parallel algorithm for unilateral contact problems
TLDR
In this paper , a parallel contact algorithm based on the partial Dirichlet-Neumann boundary conditions is proposed to solve numerically a nonlinear contact problem between rigid and deformable bodies in a whole parallel framework.About:
This article is published in Computers & Structures.The article was published on 2022-07-27 and is currently open access. It has received 2 citations till now. The article focuses on the topics: Computer science & Computer science.read more
Citations
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Journal ArticleDOI
Application of the partial Dirichlet-Neumann contact algorithm to simulate low-velocity impact events on composite structures
G. Guillamet,Adrià Quintanas-Corominas,Matias I. Rivero,G. Houzeuax,Mariano Vázquez,Albert Turon +5 more
TL;DR: In this article , the partial Dirichlet-Neumann contact algorithm is used to simulate low-velocity impact problems on composite structures using High Performance Computing (HPC) and it is extended to explicit time integration schemes to solve impact problems including damage.
Journal ArticleDOI
Unilateral frictional contact between a rigid wheel traversing on a flexible beam: An analytical investigation
TL;DR: In this paper , a non-linear dynamic solver is proposed to simulate the dynamics of a rigid wheel traversing over a flexible beam involving a unilateral contact at the interface, which is analytically designed to incorporate frictional force acting at the wheel-beam interface along with the possibility of generation of normal gap between the two bodies.
References
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Book
Nonlinear Finite Elements for Continua and Structures
TL;DR: In this paper, the authors present a list of boxes for Lagrangian and Eulerian Finite Elements in One Dimension (LDF) in one dimension, including Beams and Shells.
Reference EntryDOI
Computational Contact Mechanics
Peter Wriggers,Giorgio Zavarise +1 more
TL;DR: The mathematical structure of the contact formulation for finite element methods is derived on the basis of a continuum description of contact, and several algorithms related to spatial contact search and fulfillment of the inequality constraints at the contact interface are discussed.
Book
Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods
Noboru Kikuchi,J. T. Oden +1 more
TL;DR: Signorini's problem revisited Signorini problem for incompressible materials Alternate variational principles for Signorinis problem Contact problems for large deflections of elastic plates Some special contact problems with friction Contact problems with nonclassical friction laws Contact problems involving deformations and nonlinear materials Dynamic friction problems Rolling contact problems Concluding comments.
Book
Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics
TL;DR: In this article, an augmented Lagrangian method for the solution of variational problems is proposed. But this method is not suitable for continuous media and their mathematical modeling, such as viscoplasticity and elastoviscasticity.
Journal ArticleDOI
An augmented lagrangian treatment of contact problems involving friction
Juan C. Simo,Tod A. Laursen +1 more
TL;DR: In this paper, a framework is presented within which the augmented Lagrangians is readily applied to problems involving contact with friction, which is well-suited to finite element implementation, and a set of numerical examples is presented in which the utility of the method is demonstrated even in the presence of finite deformations and inelasticity.
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