The Layered Medium as a Homogeneous Continuum with Microstructure.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1970
- Accession Number
- AD0717731
Entities
People
- Jan D. Achenbach
Organizations
- Northwestern University