Homogenization for degenerate equations of elasticity

Article type: Research Article

Authors: Damlamian, Alain^; | Hager, William W. | Rostamian, Rouben

Affiliations: École Polytechnique, Centre de Mathématiques, 91128 Palaiseau Cedex, France | Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, U.S.A. | Department of Mathematics, University of Maryland Baltimore County, Catonsville, MD 21228, U.S.A.

Note: [] This work was supported by Grant DMS-8602006 from the National Science Foundation and by Grant N00014-86-K-0498 from the Office of Naval Research.

Abstract: We consider a spongy material with tiny holes filled with gas. A formula for the homogenized displacements is derived. It is shown that the solution to the original problem converges weakly in H1 to the solution of the homogenized problem as the diameter of the gas bubbles tends to zero.

DOI: 10.3233/ASY-1988-1402

Journal: Asymptotic Analysis, vol. 1, no. 4, pp. 283-302, 1988