Details
| Original language | English |
|---|---|
| Pages (from-to) | 2860-2873 |
| Number of pages | 14 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 198 |
| Issue number | 37-40 |
| Publication status | Published - 23 Jul 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.
Keywords
- Contact, Friction, Lagrange multiplier, Large sliding, Mortar method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 37-40, 23.07.2009, p. 2860-2873.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A mortar-based frictional contact formulation for large deformations using Lagrange multipliers
AU - Tur, M.
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).
PY - 2009/7/23
Y1 - 2009/7/23
N2 - 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.
AB - 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.
KW - Contact
KW - Friction
KW - Lagrange multiplier
KW - Large sliding
KW - Mortar method
UR - http://www.scopus.com/inward/record.url?scp=67949123190&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2009.04.007
DO - 10.1016/j.cma.2009.04.007
M3 - Article
AN - SCOPUS:67949123190
VL - 198
SP - 2860
EP - 2873
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 37-40
ER -