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A ‘warping’ theory of plate deformation
European Journal of Mechanics - A/Solids, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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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 ...
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1999
The object of this chapter is to establish the equations for the mechanical behavior of sandwich plates. A sandwich material (Chapter 3) is made from a material of low density (the core) having face sheets (the skins), made of plates or laminates bonded to each of the surfaces. The essential function of the core is to transfer, by transverse shear, the
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The object of this chapter is to establish the equations for the mechanical behavior of sandwich plates. A sandwich material (Chapter 3) is made from a material of low density (the core) having face sheets (the skins), made of plates or laminates bonded to each of the surfaces. The essential function of the core is to transfer, by transverse shear, the
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2000
In this chapter, we present the classical (Kirchhoff-Love) theory of thin plates. A plate is a solid with one dimension -the thickness (h)- much smaller than the other two dimensions, and such that the mid-thickness surface is contained in a plane. We shall see that plate theory reduces the original three-dimensional (3D) problem of Chaps.
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In this chapter, we present the classical (Kirchhoff-Love) theory of thin plates. A plate is a solid with one dimension -the thickness (h)- much smaller than the other two dimensions, and such that the mid-thickness surface is contained in a plane. We shall see that plate theory reduces the original three-dimensional (3D) problem of Chaps.
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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 ...
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2013
In Chap. 4 on Beams, Frames, and Rings we were concerned with structures having the distinguishing feature wherein one of the geometric dimensions dominated the configuration. This feature permitted us to make vast simplifications in that we could replace the three-dimensional body by a curve and thus sharply reduce the number of variables of the ...
Irving H. Shames, Clive L. Dym
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In Chap. 4 on Beams, Frames, and Rings we were concerned with structures having the distinguishing feature wherein one of the geometric dimensions dominated the configuration. This feature permitted us to make vast simplifications in that we could replace the three-dimensional body by a curve and thus sharply reduce the number of variables of the ...
Irving H. Shames, Clive L. Dym
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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
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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
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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.
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A Theory of Laminated Composite Plates
IMA Journal of Applied Mathematics, 1982Green, A. E., Naghdi, P. M.
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