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A note on numerical computation of elastic contact problems

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This article is published in International Journal for Numerical Methods in Engineering.The article was published on 1975-01-01. It has received 286 citations till now. The article focuses on the topics: Computation.

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A solution method for planar and axisymmetric contact problems

TL;DR: The aim in this research is the development of a solution algorithm for analysis of general contact conditions which shall include the possibilities to analyse: contact between flexible-flexible and rigid--flexible bodies; sticking or sliding conditions; large relative motions between bodies; repeated contact and separation between the bodies.
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A finite element method for a class of contact-impact problems

TL;DR: In this paper, a finite element method for a class of contact impact problems is presented, where the basic ideas of contact-impact, the assumptions which define the class of problems we deal with, spatial and temporal discretizations of the bodies involved, special problems concerning the contact of bodies of different dimensions, discrete impact and release conditions, and solution of the nonlinear algebraic problem are discussed.
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A perturbed Lagrangian formulation for the finite element solution of contact problems

TL;DR: Making use of a perturbed Lagrangian formulation, a finite element procedure for contact problems is developed for the general case in which node-to-node contact no longer holds, which leads naturally to a discretization of the contact interface into contact segments.
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A continuum-based finite element formulation for the implicit solution of multibody, large deformation-frictional contact problems

TL;DR: In this article, a finite element treatment of multibody, large deformation frictional contact problems is presented, where the equations governing contact are developed in the continuum setting first, before deriving the corresponding finite element equations.
References
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Book

The finite element method in engineering science

TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
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A frontal solution program for finite element analysis

TL;DR: The program given here assembles and solves symmetric positive–definite equations as met in finite element applications, more involved than the standard band–matrix algorithms, but more efficient in the important case when two-dimensional or three-dimensional elements have other than corner nodes.
Journal ArticleDOI

A finite element method for contact problems of solid bodies—Part I. Theory and validation

TL;DR: In this paper, a modified finite element method for solving problems of elastic bodies in contact is described, which could be extended to solve other than elastic problems, and sample results agree well with corresponding exact solutions.
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