Displaying similar documents to “A frictionless contact algorithm for deformable bodies”

Numerical Modelling of Contact Elastic-Plastic Flows

N. M. Bessonov, S. F. Golovashchenko, V. A. Volpert (2009)

Mathematical Modelling of Natural Phenomena

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Wilkins' method has been successfully used since early 60s for numerical simulation of high velocity contact elastic-plastic flows. The present work proposes some effective modifications of this method including more sophisticated material model including the Baushinger effect; modification of the algorithm based on correction of the initial configuration of a solid; a contact algorithm based on the idea of a mild contact.

Open and closed shear-walls in high-rise structural systems: Static and dynamic analysis

Alberto Carpinteri, Giuseppe Lacidogna, Giuseppe Nitti (2016)

Curved and Layered Structures

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In the present paper, a General Algorithm is applied to the analysis of high-rise structures. This algorithm is to be used as a calculation tool in preliminary design; it allows to define the interaction between closed and open, straight or curved shear-walls, and the forces exchanged in structures subject to mainly horizontal loads. The analysis can be performed in both static and dynamic regimes, the mode shapes and the natural frequencies being assessed. This general formulation allows...

Contact problem of two elastic bodies. III

Vladimír Janovský, Petr Procházka (1980)

Aplikace matematiky

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The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.

A frictionless contact algorithm for deformable bodies

Olivier Pantz (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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This article is devoted to the presentation of a new contact algorithm for bodies undergoing finite deformations. We only address the kinematic aspect of the contact problem, that is the numerical treatment of the non-intersection constraint. In consequence, mechanical aspects like friction, adhesion or wear are not investigated and we restrict our analysis to the simplest frictionless case. On the other hand, our method allows us to treat contacts and self-contacts, thin or non-thin...

A Bermúdez–Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes

P. Barral, P. Quintela, M. T. Sánchez (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The aim of this work is to present a computationally efficient algorithm to simulate the deformations suffered by a viscoplastic body in a solidification process. This type of problems involves a nonlinearity due to the considered thermo-elastic-viscoplastic law. In our previous papers, this difficulty has been solved by means of a duality method, known as Bermúdez–Moreno algorithm, involving a multiplier which was computed with a fixed point algorithm or a Newton method. In this paper,...

Computational algorithm for homogenized coefficients of hyperelastic heterogeneous materials undergoing large deformations

Lukeš, Vladimír, Rohan, Eduard, Cimrman, Robert

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This article deals with an algorithm for numerical modelling of hyperelastic heterogeneous materials undergoing large deformations. The microstructure of these materials is changing (deforming) during a loading process, the changes in the microstructure depend on macroscopic deformations. To compute macroscopic responses, we must know material stiffness parameters and stresses in the heterogeneous structure. These effective parameters are obtained by solving microscopic problems. The...