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Volume 8, Issue 3
An Elasto-Viscoplastic Contact Problem: An a Posteriori Error Analysis and Computational Experiments

J. R. Fernández

Int. J. Numer. Anal. Mod., 8 (2011), pp. 373-390.

Published online: 2011-08

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  • Abstract

In this paper, we reconsider a contact problem between an elasto-viscoplastic body and a deformable obstacle. The contact is modeled by the classical normal compliance contact condition. Then, fully discrete approximations are obtained by using the finite element method to approximate the spatial variable and the forward Euler scheme to discretize time derivatives. An a posteriori error analysis is provided and upper and lower error bounds are obtained. Finally, some two-dimensional numerical simulations are presented to demonstrate the accuracy and the behavior of the error estimators.

  • Keywords

Elasto-viscoplasticity, normal compliance contact, fully discrete approximations, a posteriori error estimates, finite elements, numerical simulations.

  • AMS Subject Headings

74C10, 74M15, 74S05, 65M60, 65M15

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{IJNAM-8-373, author = {Fernández , J. R.}, title = {An Elasto-Viscoplastic Contact Problem: An a Posteriori Error Analysis and Computational Experiments}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {3}, pages = {373--390}, abstract = {

In this paper, we reconsider a contact problem between an elasto-viscoplastic body and a deformable obstacle. The contact is modeled by the classical normal compliance contact condition. Then, fully discrete approximations are obtained by using the finite element method to approximate the spatial variable and the forward Euler scheme to discretize time derivatives. An a posteriori error analysis is provided and upper and lower error bounds are obtained. Finally, some two-dimensional numerical simulations are presented to demonstrate the accuracy and the behavior of the error estimators.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/691.html} }
TY - JOUR T1 - An Elasto-Viscoplastic Contact Problem: An a Posteriori Error Analysis and Computational Experiments AU - Fernández , J. R. JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 373 EP - 390 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/691.html KW - Elasto-viscoplasticity, normal compliance contact, fully discrete approximations, a posteriori error estimates, finite elements, numerical simulations. AB -

In this paper, we reconsider a contact problem between an elasto-viscoplastic body and a deformable obstacle. The contact is modeled by the classical normal compliance contact condition. Then, fully discrete approximations are obtained by using the finite element method to approximate the spatial variable and the forward Euler scheme to discretize time derivatives. An a posteriori error analysis is provided and upper and lower error bounds are obtained. Finally, some two-dimensional numerical simulations are presented to demonstrate the accuracy and the behavior of the error estimators.

Fernández , J. R.. (2011). An Elasto-Viscoplastic Contact Problem: An a Posteriori Error Analysis and Computational Experiments. International Journal of Numerical Analysis and Modeling. 8 (3). 373-390. doi:
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