Homogenization of linear elasticity equations
- 1 January 1982
- journal article
- Published by Institute of Mathematics, Czech Academy of Sciences in Applications of Mathematics
- Vol. 27 (2) , 96-117
- https://doi.org/10.21136/am.1982.103951
Abstract
The homogenization problem (i.e. the approximation of the material with periodic structure by a homogeneous one) for linear elasticity equation is studied. Both formulations in terms of displacements and in terms of stresses are considered and the results compared. The homogenized equations are derived by the multiple-scale method. Various formulae, properties of the homogenized coefficients and correctors are introduced. The convergence of displacment vector, stress tensor and local energy is proved by a simplified local energy method.Keywords
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