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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 641-659 |
| Number of pages | 19 |
| Journal | International Journal of Solids and Structures |
| Volume | 6 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 1970 |
| Externally published | Yes |
Funding
t The work of one of the authors (J.D.A.) was sponsored by the Office of Naval Research under Contract ONR Nonr. 1228(34) with Northwestern University. The work of the other author (R.A.G.) was supported by the Advanced Research Project Agency of the Department of Defense through the Northwestern University Materials Research Center. t Now at Princeton University, Department of Aerospace and Mechanical Sciences.
ASJC Scopus subject areas
- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics