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EnglishWe study the n-dimensional wave equation with an elasto-plastic nonlinear stress-strain relation. We investigate the case of heterogeneous materials, i.e. x-dependent parameters that are periodic at the scale η > 0. We study the limit η → 0 and derive the plasticity equations for the homogenized material. We prove the well-posedness for the original and the effective system with a finite-element approximation. The approximate solutions are also used in the homogenization proof which is based on oscillating test function and an adapted version of the div-curl Lemma.
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| Titolo: | Periodic homogenization of the Prandtl-Reuss model with hardening | |
| Autori: | ||
| Data di pubblicazione: | 2010 | |
| Rivista: | ||
| Abstract: | We study the n-dimensional wave equation with an elasto-plastic nonlinear stress-strain relation. We investigate the case of heterogeneous materials, i.e. x-dependent parameters that are periodic at the scale η > 0. We study the limit η → 0 and derive the plasticity equations for the homogenized material. We prove the well-posedness for the original and the effective system with a finite-element approximation. The approximate solutions are also used in the homogenization proof which is based on oscillating test function and an adapted version of the div-curl Lemma. | |
| Handle: | http://hdl.handle.net/11571/342731 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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