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The Nonlinear Theory of Plates
2012The formulation of geometrically exact theories for thin plates, their approximations and differences with respect to either linear or ad hoc nonlinear theories (such as the Foppl–von Karman theory) are presented. The equations of motion are modified for various situations and are compared with experimental results.
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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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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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A uniformly-valid asymptotic plate theory of growth with numerical implementation
International Journal of Mechanical Sciences, 2023Fan-Fan Wang, Jiong Wang, Ping Du
exaly
On asymptotic estimates in the theory of then plates
Journal of Applied Mathematics and Mechanics, 1965Vorovich, I. I., Salganik, R. L.
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Buckling analysis of plates using the two variable refined plate theory
Thin-Walled Structures, 2009Jaehong Lee, Huu-Tai Thai
exaly