LARGE DEFORMATIONS OF A LAMINATED COMPOSITE.

Abstract

An approximate nonlinear theory is derived to describe the mechanical behavior of a laminated composite consisting of alternating layers of two homogeneous materials subjected to large deformations. The theory is based on two-term expansions of the motion across the thicknesses of the undeformed layers. The kinematics and the balance laws are formulated, and the constitutive equations are worked out for elastic behavior of the constitutive materials. The governing equations are subsequently written out in detail for the case of a small amplitude disturbance superimposed on a large static deformation. The latter system of equations is used to investigate the propagation of small amplitude time-harmonic waves in a prestressed laminated composite. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0692417

Entities

People

  • J. D. Achenback
  • R. A. Grot

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Composite Materials
  • Constitutive Equations
  • Department Of Defense
  • Differential Equations
  • Equations
  • Equations Of State
  • Kinematics
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Thickness

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.