Accession Number : AD0717731

Title :   The Layered Medium as a Homogeneous Continuum with Microstructure.

Descriptive Note : Technical rept. 1 Feb 69-30 Jun 70,

Corporate Author : NORTHWESTERN UNIV EVANSTON ILL DEPT OF CIVIL ENGINEERING

Personal Author(s) : Achenbach,Jan D.

Report Date : DEC 1970

Pagination or Media Count : 42

Abstract : A homogeneous continuum model is developed to describe the mechanical behavior of a laminated composite consisting of alternating layers of two homogeneous anisotropic elastic solids. The theory is based on two-term expansions of the displacements across the thicknesses of the layers. The transition from the discrete system of layers to a homogeneous continuum is achieved by introducing three fields to describe the state of deformation: gross displacements, and local deformations in the reinforcing and the matrix layers, respectively. Balance equations and constitutive relations for the stress resultants and the first moments of the stresses across the thicknesses of the layers are also derived. It is shown that the effective modulus theory is a special case of the theory presented herein. Various applications of the theory are briefly discussed. (Author)

Descriptors :   (*DEFORMATION, LAMINATES), STRESSES, STRAIN(MECHANICS), LOADS(FORCES), MODULUS OF ELASTICITY, MECHANICAL WAVES, ISOTROPISM, PARTIAL DIFFERENTIAL EQUATIONS, EQUATIONS OF MOTION, MICROSTRUCTURE, COMPOSITE MATERIALS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE