A REFINED THEORY OF NONHOMOGENEOUS TRANSVERSALLY ISOTROPIC PLATES OF AN ASYMMETRICAL STRUCTURE (UTOCHENNAYA TEORIYA NEODNORODNYKH TRANSVERSALNO-IZOTROPNYKH PLIT NESIMMETRICHNOI STRUKTURY),
Abstract
An analysis is given of the problem of the elastic equilibrium of two types of nonhomogeneous transversally isotropic thick plates of asymmetrical structure: (1) multilayer plates and (2) plates with moduli of elasticity continuously variable in the thickness. If the load is distributed only along the edge, it is possible to distinguish two main forms of a stressed state: (1) plane stressed state and (2) buckling. For each of the two forms of stressed state solutions are obtained which rigorously satisfy all the equations of the theory of elasticity in each layer, the boundary conditions on the outer planes and on the surfaces of contact of the layers, whereas on the lateral surface (on the edge) the average or integral conditions are satisfied, as in the theory of thin plates. Thus, the plate is regarded as a thick plate in the A. Love or A. I. Lur'ye sense. By knowing the solution for a plane stressed state and for buckling it becomes possible to obtain a solution for more complex cases of loading, especially for the case of normal forces distributed uniformly over the entire area of one of the plane surfaces. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 19, 1967
- Accession Number
- AD0673693
Entities
People
- S. G. Lekhnitskii
Organizations
- National Air and Space Intelligence Center