Results 171 to 180 of about 18,348 (202)
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2013
This chapter introduces the study of structures formed by “thin surfaces” such as plates and shells. Plates will be studied in this and the two following chapters. Shell structures formed by assembly of flat plates will be considered in Chapter 8. Axisymmetric shells will be treated in Chapter 9.
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This chapter introduces the study of structures formed by “thin surfaces” such as plates and shells. Plates will be studied in this and the two following chapters. Shell structures formed by assembly of flat plates will be considered in Chapter 8. Axisymmetric shells will be treated in Chapter 9.
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Two novel Kirchhoff plate finite elements for the modified strain gradient theory
PAMM, 2019AbstractMicroplates are vastly used in MEMS and NEMS devices. Due to size effect, classical theories of continuum mechanics can not be used to model mechanical behaviour of them. Instead, higher order continuum theories should be implemented. Modified Strain Gradient Theory (MSGT) is considered to be one of the most accurate methods for this ...
Murat Kandaz, Hüsnü Dal
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Preliminary report on the theory of elastic circular plate with no kirchhoff-love assumptions
Journal of Shanghai University (English Edition), 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chien, Weizang, Ru, Xueping
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Kirchhoff and thomson-tait transformations in the classical theory of plates
Mechanics of Solids, 2012The transformation of the torque into the transverse force is considered; this transformation is traditional in the educational literature [1] and was proposed by Kirchhoff [2] and Thomson and Tait [3] to match the order of the differential equation of the classical theory of plates with the number of boundary conditions.
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A further study of the theory of elastic circular plates with non-kirchhoff-love assumptions
Applied Mathematics and Mechanics, 1995Authors try to derive a refined theory for the state of stress and deformation of a linear-elastic and clamped circular plate under axisymmetric loading. Instead of using Kirchhoff-Love's assumptions, they postulate a linear transversal strain and a cubic transversal shear strain (with respect to the transversal coordinate).
Chien, Weizang, Ru, Xueping
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A Simple Energetic Explanation of the Polygon-Circle Paradox for Classical (Kirchhoff) Plate Theory
Journal of Elasticity, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mixed System of Equations in Kirchhoff’s Theory of the Transverse Vibrations of Plates
International Applied Mechanics, 2013A general analysis of the mixed systems of four equations in Kirchhoff’s theory of the vibrations of plates in rectangular and polar coordinates is carried out. It is shown that these systems can be represented in Hamiltonian (canonical) operator form in space coordinate after the selection of the appropriate “canonical” variables and operator ...
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Method of Fictitious Domains for Signorini’s Problem in Kirchhoff–Love Theory of Plates
Journal of Mathematical Sciences, 2017We consider variational and differential settings of an equilibrium problem for an elastic plate within the Kirchhoff–Love theory of plates. Using the method of fictitious domains, we show that solutions of a family of auxiliary problems in a larger domain converge to the solution of the original contact problem.
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The Linearization of the Dirichlet-to-Neumann Map in the Anisotropic Kirchhoff–Love Plate Theory
SIAM Journal on Applied Mathematics, 1996If \(\Omega\) is a bounded domain in \(\mathbb{R}^2\) with smooth boundary, an elasticity tensor field is the fourth-order tensor field \(C=(C_{ijkl}(x))_{i,j,k,l=1,2}\) with \(C_{ijkl}\in L^\infty(\Omega)\) if for each \(i,j,k,l=1,2\) and almost all \(x\in\Omega\), \(C_{ijkl}(x)=C_{klij}(x)=C_{jikl}(x)\), and there exists a positive number \(\delta ...
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On the restricted torsion of narrow rectangular cross section by Kirchhoff's thin plate theory
Applied Mathematics and Mechanics, 1982Kirchhoff's thin plate theory is used to solve the restricted torsion of narrow rectangular cross section as this problem is equivalent to the bending of a rectangular cantilever plate by a twisting moment at the free end. The results obtained not only prove the angle of twist obtained by Prof. Timoshenko using the energy method but give us stresses.
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