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Problems of Micromorphic Elastic Bodies Approached by Lagrange Identity Method
Dept. of Mathematics, Transilvania University of Brasov, Romania.
Dept. of Mathematics, King Abdul Aziz University, Saudi Arabia.
Mathematics Dept., Science Faculty, Sohag University, Egypt.
Dept. of Mathematics, King Abdul Aziz University, Saudi Arabia.
Computers, Materials & Continua 2013, 37(1), 23-37. https://doi.org/10.3970/cmc.2013.037.023
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Taking advantage of the flexibility of Lagrange’s identity, we prove the uniqueness theorem and some continuous dependence theorems without recourse to any energy conservation law, or to any boundedness assumptions on the constitutive coefficients. Also, we avoid the use of positive definiteness assumptions on the constitutive coefficients, even if these results are related to the difficult mixed problem in elasticity of micromorphic bodies.Keywords
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APA Style
Marin, M., Mahmoud, S.R., Al-Basyouni, K.S. (2013). Problems of micromorphic elastic bodies approached by lagrange identity method. Computers, Materials & Continua, 37(1), 23-37. https://doi.org/10.3970/cmc.2013.037.023
Vancouver Style
Marin M, Mahmoud SR, Al-Basyouni KS. Problems of micromorphic elastic bodies approached by lagrange identity method. Comput Mater Contin. 2013;37(1):23-37 https://doi.org/10.3970/cmc.2013.037.023
IEEE Style
M. Marin, S. R. Mahmoud, and K. S. Al-Basyouni, “Problems of Micromorphic Elastic Bodies Approached by Lagrange Identity Method,” Comput. Mater. Contin., vol. 37, no. 1, pp. 23-37, 2013. https://doi.org/10.3970/cmc.2013.037.023
Copyright © 2013 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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