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Journal of Applied Mechanics, 1971
A two-dimensional theory for laminated plates is deduced from the three-dimensional continuum theory for a laminated medium. Plate-stress equations of motion, plate-stress-strain relations, boundary conditions, and plate-displacement equations of motion are presented.
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A two-dimensional theory for laminated plates is deduced from the three-dimensional continuum theory for a laminated medium. Plate-stress equations of motion, plate-stress-strain relations, boundary conditions, and plate-displacement equations of motion are presented.
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A General Refined Plate Theory
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2000AbstractStarting from the principle of virtual displacements, a plate theory is formulated which includes most classical and refined plate theories as special cases. The force and moment equilibrium and the correct formulation of the boundary conditions is obtained by introducing a certain virtual displacement field, and it w shown that generalized ...
Meenen, Johannes, Altenbach, Holm
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2009
Chapter 5 develops the analysis of beams, which are structures presenting one dimension that is much larger than the other two. The present chapter focuses on another type of structural component, plates, which are defined as structures possessing one dimension far smaller than the other two.
Bauchau, Olivier, Craig, J.I.
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Chapter 5 develops the analysis of beams, which are structures presenting one dimension that is much larger than the other two. The present chapter focuses on another type of structural component, plates, which are defined as structures possessing one dimension far smaller than the other two.
Bauchau, Olivier, Craig, J.I.
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On the Generalization of Reissner Plate Theory to Laminated Plates, Part I: Theory
Journal of Elasticity, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lebée, Arthur, Sab, Karam
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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 ...
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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
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2009
The word plate is a collective term for systems in which transfer of forces occurs in two directions; walls, deep beams, floors and bridge slabs are all plates. We distinguish two main categories, plates that are loaded in their plane, and plates loaded perpendicularly to their plane. For both categories we give an approach with differential equations,
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The word plate is a collective term for systems in which transfer of forces occurs in two directions; walls, deep beams, floors and bridge slabs are all plates. We distinguish two main categories, plates that are loaded in their plane, and plates loaded perpendicularly to their plane. For both categories we give an approach with differential equations,
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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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1991
In this chapter, the classical theory of plate stability is described. The buckling and initial post-buckling behaviour of structural systems in general is first presented. The differential equation describing the linear bifurcation (or eigenvalue) problem of plates loaded in their own plane is then derived, starting from the Kirchhoff's assumptions ...
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In this chapter, the classical theory of plate stability is described. The buckling and initial post-buckling behaviour of structural systems in general is first presented. The differential equation describing the linear bifurcation (or eigenvalue) problem of plates loaded in their own plane is then derived, starting from the Kirchhoff's assumptions ...
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