Homogenization of layered elastoplastic composites: Theoretical results |
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| Authors: | Q.-C. He Z.-Q. Feng |
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| Affiliation: | 1. Southwest Jiaotong University, School of Mechanical Engineering, Chengdu 610031, China;2. Southwest Jiaotong University, School of Applied Mechanics and Engineering, Chengdu 610031, China;3. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 Boulevard Descartes, 77454 Marne-la-Vallée Cedex 2, France;4. Université d''Evry-Val d''Essonne, Laboratoire de Mécanique d''Evry, 40 rue du Pelvoux, 91020 Evry, France;1. Tufts University;2. Universidad Politécnica de Madrid |
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| Abstract: | Exact closed-form solutions are derived that completely characterize the effective behavior of a composite material made of elastic-perfectly plastic parallel plane layers perfectly bonded together. The derivation is framed within a rigorous theory of homogenization for elastoplastic composites, and based on the fundamental fact that the in-plane part of the strain tensor and the out-of-plane part of the stress tensor are uniform throughout the composite provided no free-edge effects occur. The obtained expressions are coordinate-free and valid in the general anisotropic case. As an example, a layered composite material with isotropic constituents is examined in detail. |
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