Large reference displacement analysis of composite plates. [Dynamics of layers of orthotropic laminae]

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1991

OSTI ID:7201567

Kremer, J M

The dynamic analysis of thin, laminated composite plates consisting of layers of orthotropic laminae that undergo large arbitrary rigid-body displacements and small elastic deformations was made. A nonlinear finite-element formulation developed for the composite plate utilizes the assumption that the bonds between the laminae are infinitesimally thin and shear non-deformable. Using the expressions for the kinetic and strain energies, the lamina mass and stiffness matrices are identified. The nonlinear mass matrix of the lamina is expressed in terms of a set of invariants that depend on the assumed displacement field. By summing the kinetic and strain energies of the laminae of an element, the element mass and stiffness matrix can be defined in terms of the set of lamina invariants. By assembling the finite elements of the deformable body, the body invariants can be identified and expressed explicitly in terms of the invariants of the laminae of its elements. In the dynamic formulation presented, the shape functions of the laminae are assumed to have rigid body modes that need to describe only large rigid body translations.

• Research Organization: Illinois Univ., Chicago, IL (United States)
• OSTI ID: 7201567
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360603* -- Materials-- Properties
CHEMICAL BONDS
COMPOSITE MATERIALS
DEFORMATION
FINITE ELEMENT METHOD
MATERIALS
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
PLASTICITY
PLATES
STRAINS