Open Access

ARTICLE

Problems of Micromorphic Elastic Bodies Approached by Lagrange Identity Method

M. Marin¹, S. R. Mahmoud^2,3, K. S. Al-Basyouni⁴

1 Dept. of Mathematics, Transilvania University of Brasov, Romania.
2 Dept. of Mathematics, King Abdul Aziz University, Saudi Arabia.
3 Mathematics Dept., Science Faculty, Sohag University, Egypt.
4 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

Abstract

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.

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Keywords

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