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| Homogenization with the Quasistatic Tresca Friction Law: Qualitative and Quantitative Results* |
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Citation： |
Changqing YE,Eric T. CHUNG,Jun-zhi CUI.Homogenization with the Quasistatic Tresca Friction Law: Qualitative and Quantitative Results*[J].Chinese Annals of Mathematics B,2023,44(5):781~802 |
| Page view： 957
Net amount： 598 |
Authors： |
Changqing YE; Eric T. CHUNG;Jun-zhi CUI |
Foundation： |
National Natural Science Foundation of China (No.51739007), the Hong Kong RGC General Research Fund (Nos.14305222, 14304021) and the Strategic Priority Research Program of the Chinese Academy of Sciences (No.XDC06030101). |
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| Abstract： |
Modeling of frictional contacts is crucial for investigating mechanical perfor- mances of composite materials under varying service environments. The paper considers a linear elasticity system with strongly heterogeneous coefficients and quasistatic Tresca fric- tion law, and studies the homogenization theories under the frameworks of H-convergence and small e-periodicity. The qualitative result is based on H-convergence, which shows the original oscillating solutions will converge weakly to the homogenized solution, while the author's quantitative result provides an estimate of asymptotic errors in H1-norm for the periodic homogenization. This paper also designs several numerical experiments to validate the convergence rates in the quantitative analysis. |
Keywords： |
Homogenization, Frictional contact mechanics, Quasistatic Tresca fric-tion law |
Classification： |
74M15，74Q05 |
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