A mortar-based frictional contact formulation for large deformations using Lagrange multipliers

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  • Universidad Politecnica de Valencia
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OriginalspracheEnglisch
Seiten (von - bis)2860-2873
Seitenumfang14
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang198
Ausgabenummer37-40
PublikationsstatusVeröffentlicht - 23 Juli 2009

Abstract

In this work a Lagrange multiplier method is proposed to solve 2D Coulomb frictional contact problems in the context of large deformations. As the proposed formulation is based on the mortar method, the constraints are imposed in a weak integral sense along the contact surface. In order to compute the contact integrals, we use a numerical integration based on the definition of the kinematical variables (gap, slip and their variations) at the quadrature points. The linearization of non-linear equations (virtual work and contact constraints) is developed in order to apply a Newton's method. The examples show that the numerical integration still preserves the optimal rate of convergence of the finite element solution.

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A mortar-based frictional contact formulation for large deformations using Lagrange multipliers. / Tur, M.; Fuenmayor, F. J.; Wriggers, Peter.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 198, Nr. 37-40, 23.07.2009, S. 2860-2873.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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abstract = "In this work a Lagrange multiplier method is proposed to solve 2D Coulomb frictional contact problems in the context of large deformations. As the proposed formulation is based on the mortar method, the constraints are imposed in a weak integral sense along the contact surface. In order to compute the contact integrals, we use a numerical integration based on the definition of the kinematical variables (gap, slip and their variations) at the quadrature points. The linearization of non-linear equations (virtual work and contact constraints) is developed in order to apply a Newton's method. The examples show that the numerical integration still preserves the optimal rate of convergence of the finite element solution.",
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AU - Fuenmayor, F. J.

AU - Wriggers, Peter

N1 - Funding information: The authors wish to express their gratitude for the financial support received from the Spanish Ministry for Science and Technology under project DPI2007-66995-C03-02 and Universidad Politecnica de Valencia (PAID-06-09).

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