Mechanics of Composite Solids
Publication: Journal of Engineering Mechanics
Volume 128, Issue 8
Abstract
The mechanical properties of composite, elastic solids are determined using the method of volume averaging. Volume-averaged forms of Hooke’s law and Cauchy’s equation are developed for each phase. When the condition of local displacement equilibrium is valid, the volume-averaged displacement vectors are essentially equal and the spatially smoothed equations for each phase can be added to obtain a one-equation model of a two-phase system. This one-equation model contains area integrals of the spatial deviation displacement vector, and a closure problem is developed to determine this vector. The closed form for the stress-deformation relation contains effective coefficients to be determined by the solution of the closure problem.
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Copyright © 2002 American Society of Civil Engineers.
History
Received: Mar 25, 2002
Accepted: Mar 25, 2002
Published online: Jul 15, 2002
Published in print: Aug 2002
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