Affiliation:
1. University of California, Los Angeles 90024
Abstract
This paper is concerned with determining the elastic properties of a composite material composed of hollow spherical inclusions em bedded in a matrix. Both inclusions and surrounding material are taken to be isotropic and elastic. As the result of a straightforward extension of Hashin's work, upper and lower bounds have been developed for the gross shear modulus of the composite. In addition, a closed form expression is presented for the gross bulk modulus of the material. Numerical results have been presented illustrating the effect of wall thickness of the inclusion upon the elastic constants of the composite. As illus trated by example, control of the properties and geometry of the inclusions permits "design" of a material with prescribed elastic behavior.
Subject
Materials Chemistry,Mechanical Engineering,Mechanics of Materials,Ceramics and Composites
Reference6 articles.
1. The Elastic Moduli of Heterogeneous Materials
2. A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, Dover Publications (1944), pp. 249-251.
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63 articles.
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