Journal ArticleDOI
An augmented lagrangian treatment of contact problems involving friction
Juan C. Simo,Tod A. Laursen +1 more
Reads0
Chats0
TLDR
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.About:
This article is published in Computers & Structures.The article was published on 1992-01-01. It has received 828 citations till now. The article focuses on the topics: Augmented Lagrangian method & Penalty method.read more
Citations
More filters
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
Optimization Concepts and Applications in Engineering
TL;DR: 1. Preliminary concepts of one dimensional unconstrained minimization, unconstrained optimization, linear programming, and finite element based optimization are presented.
Journal ArticleDOI
An extended finite element method for modeling crack growth with frictional contact
TL;DR: In this paper, the eXtended Finite Element Method (X-FEM) is used to discretize the equations, allowing for the modeling of cracks whose geometry is independent of the finite element mesh.
References
More filters
Book
Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
Journal ArticleDOI
Multiplier and gradient methods
TL;DR: The main purpose of this paper is to suggest a method for finding the minimum of a functionf(x) subject to the constraintg(x)=0, which consists of replacingf byF=f+λg+1/2cg2, and computing the appropriate value of the Lagrange multiplier.
Journal ArticleDOI
Consistent tangent operators for rate-independent elastoplasticity☆
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, it is shown that consistency between the tangent operator and the integration algorithm employed in the solution of the incremental problem plays crucial role in preserving the quadratic rate of asymptotic convergence of iterative solution schemes based upon Newton's method.
Related Papers (5)
A mixed formulation for frictional contact problems prone to Newton like solution methods
P. Alart,A. Curnier +1 more
Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods
Noboru Kikuchi,J. T. Oden +1 more