Results 241 to 250 of about 6,135,874 (298)
Some of the next articles are maybe not open access.
MICROPOLAR AND DIRECTOR THEORIES OF PLATES
The Quarterly Journal of Mechanics and Applied Mathematics, 1967Abstract : After discussing the relationship between general theories based on dipolar displacement and micropolar displacement and the relations of these to a theory with a simple dipolar displacement (i.e., full displacement gradient), the remainder of the paper is concerned with linear theories of elastic plates in the presence of micropolar and ...
Green, A. E., Naghdi, P. M.
openaire +2 more sources
A Theory of Chiral Cosserat Elastic Plates
Journal of Elasticity, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE CICCO, SIMONA, D. Iesan
openaire +2 more sources
Elasticity Theory of Plates and a Refined Theory
Journal of Applied Mechanics, 1979A method for the solution of three-dimensional elasticity equations is presented and is applied to the problem of thick plates. Through this method three governing differential equations, the well-known biharmonic equation, a shear equation and a third governing equation, are deduced directly and systematically from Navier’s equations. It is then shown
openaire +1 more source
The Exact Theory of Plate Bending
Journal of Elasticity, 2002Summary: We introduce an approach for the analysis and computation of homogeneous isotropic elastic plates subjected to bending loads. This approach is based on a partitioning (which is independent of thickness) of three-dimensional reference solution into a part with large variation length, and a part with localized ects, whose generalized stress ...
openaire +2 more sources
A ‘warping’ theory of plate deformation
European Journal of Mechanics - A/Solids, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
2000
As we stated earlier the plane problems of elasticity theory describe, approximately, the behavior of a thin elastic body (see Chapter 6.1). The plate theory is also an approximation to the three-dimensional problems of elasticity theory. The plate represents approximation of an elastic body when one dimension of the body is much smaller than other two.
Teodor M. Atanackovic, Ardéshir Guran
openaire +1 more source
As we stated earlier the plane problems of elasticity theory describe, approximately, the behavior of a thin elastic body (see Chapter 6.1). The plate theory is also an approximation to the three-dimensional problems of elasticity theory. The plate represents approximation of an elastic body when one dimension of the body is much smaller than other two.
Teodor M. Atanackovic, Ardéshir Guran
openaire +1 more source
On the theory of elastic plates
International Journal of Solids and Structures, 1970Abstract The isothermal infinitesimal bending theory of isotropic Cosserat surfaces with P directors is developed based on the work of Green et al . Matrix notation presents this theory in a tractable and straightforward manner. Upon restricting the theory to initially plane surfaces, the theory uncouples into extensional and bending portions and a ...
Provan, J. W., Koeller, R. C.
openaire +1 more source
On the asymptotic theory of plates
Acta Mechanica, 1983Twodimensional equations for elastic plates, in static deformation and of arbitrary thickness, are derived, using formal solutions for the dependence of the threedimensional displacements and stresses on the coordinate across the plate. Without further assumptions, these solutions may be expanded with respect to the plate thickness, to yield ...
openaire +1 more source
On the classical theory of plates
Journal of Applied Mathematics and Mechanics, 1994The classical theory of plates (Kirchhoff) leads to certain inconsistencies due to its well-known basic assumptions. The author tries to eliminate these ones by introducing ``rotated moments'' and demonstrates that this approach yields no contradictions.
openaire +1 more source
On the plastic theory of plates
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957Abstract This paper presents a theory of the small deformations of a thin uniform plate under transverse load. The plate is made of non-hardening rigid-plastic material obeying the Tresca yield condition and associated flow rule. The basic assumptions are similar to those made in the conventional engineering theory of thin elastic ...
openaire +1 more source