Numerical experiments with multilevel subdomain decomposition method.
Laitinen, E., Lapin, A. V., Pieskä, J. (2003)
Lobachevskii Journal of Mathematics
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Laitinen, E., Lapin, A. V., Pieskä, J. (2003)
Lobachevskii Journal of Mathematics
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Yu Wang, Guangyu Shi, Xiaodan Wang (2017)
Curved and Layered Structures
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This paper presents the efficient modeling and analysis of laminated composite plates using an eightnode quasi-conforming solid-shell element, named as QCSS8. The present element QCSS8 is not only lockingfree, but highly computational efficiency as it possesses the explicit element stiffness matrix. All the six components of stresses can be evaluated directly by QCSS8 in terms of the 3-D constitutive equations and the appropriately assumed element strain field. Several typical numerical...
N. Favrie, S. Gavrilyuk (2011)
ESAIM: Proceedings
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The Maxwell type elastic-plastic solids are characterized by decaying the absolute values of the principal components of the deviatoric part of the stress tensor during the plastic relaxation step. We propose a mathematical formulation of such a model which is compatible with the von Mises criterion of plasticity. Numerical examples show the ability of the model to deal with complex physical phenomena.
José Fernández García, Weimin Han, Meir Shillor, Mircea Sofonea (2001)
International Journal of Applied Mathematics and Computer Science
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A summary of recent results concerning the modelling as well as the variational and numerical analysis of frictionless contact problems for viscoplastic materials are presented. The contact is modelled with the Signorini or normal compliance conditions. Error estimates for the fully discrete numerical scheme are described, and numerical simulations based on these schemes are reported.
Sysala, Stanislav
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This contribution is devoted to modeling damage zones caused by the excavation of tunnels and boreholes (EDZ zones) in connection with the issue of deep storage of spent nuclear fuel in crystalline rocks. In particular, elastic-plastic models with Mohr-Coulomb or Hoek-Brown yield criteria are considered. Selected details of the numerical solution to the corresponding problems are mentioned. Possibilities of elastic and elastic-plastic approaches are illustrated by a numerical example. ...
El-Hassan Benkhira, Rachid Fakhar, Youssef Mandyly (2021)
Applications of Mathematics
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We consider two static problems which describe the contact between a piezoelectric body and an obstacle, the so-called foundation. The constitutive relation of the material is assumed to be electro-elastic and involves the nonlinear elastic constitutive Hencky's law. In the first problem, the contact is assumed to be frictionless, and the foundation is nonconductive, while in the second it is supposed to be frictional, and the foundation is electrically conductive. The contact is modeled...