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A modified perturbed Lagrangian formulation for contact problems
- Source :
- RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia, instname
- Publication Year :
- 2015
- Publisher :
- Springer Verlag (Germany), 2015.
-
Abstract
- The aim of this work is to propose a formulation to solve both small and large deformation contact problems using the finite element method. We consider both standard finite elements and the so-called immersed boundary elements. The method is derived from a stabilized Nitsche formulation. After introduction of a suitable Lagrange multiplier discretization the method can be simplified to obtain a modified perturbed Lagrangian formulation. The stabilizing term is iteratively computed using a smooth stress field. The method is simple to implement and the numerical results show that it is robust. The optimal convergence rate of the finite element solution can be achieved for linear elements.<br />The authors wish to thank the Spanish Ministerio de Economia y Competitividad for the financial support received through the DPI Project DPI2013-46317-R.
- Subjects :
- Work (thermodynamics)
Large deformation
Discretization
Applied Mathematics
Mechanical Engineering
INGENIERIA MECANICA
Mathematical analysis
Computational Mechanics
Boundary (topology)
Ocean Engineering
Stabilized
Finite element method
Stress field
Computational Mathematics
symbols.namesake
Perturbed Lagrangian
Computational Theory and Mathematics
Rate of convergence
Simple (abstract algebra)
Lagrange multiplier
Contact
symbols
Penalty
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia, instname
- Accession number :
- edsair.doi.dedup.....0f95dbc2b5c04fa29350dcb631b6366f