Results 171 to 180 of about 9,115 (217)
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THERMAL EFFECTS IN MINDLIN-TYPE PLATES
The Quarterly Journal of Mechanics and Applied Mathematics, 1993The authors formally derive a linear thermoelastic plate model based on a Mindlin-type form of displacement. The system of partial differential equations obtained in this way is coupled parabolic-hyperbolic. Uniqueness of the solution is proved both for a bounded plate and an infinite plate with a hole, in the latter case under suitable far-field ...
Schiavone, Peter, Tait, R. J.
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Mathematical Models of Reissner–Mindlin Thermoviscoelastic Plates
Journal of Thermal Stresses, 2006In this paper we investigate mathematical models describing deformations and thermal variations of a thin homogeneous thermoviscoelastic plate. A hereditary non-Fourier constitutive law for the heat flux and some heat power constitutive equation with linear memory are considered. The resulting models are derived in the framework of the well-established
GIORGI, Claudio, NASO, MARIA GRAZIA
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Refined 9‐Dof triangular Mindlin plate elements
International Journal for Numerical Methods in Engineering, 2001AbstractBased on the Mindlin/Reissner plate theory, two refined triangular thin/thick plate elements, the conforming displacement element DKTM with one point quadrature for the part of shear strain and the element RDKTM with the re‐constitution of the shear strain, are proposed.
Wanji, C, Cheung, YK
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Nonlinear vibrations of thick plates using mindlin plate elements
International Journal for Numerical Methods in Engineering, 1980AbstractLarge amplitude vibrations of Mindlin plates are studies using Lagrangian, isoparametric, quadrilateral elements with selective integration. Square, rectangular, circular and elliptical plates with clamped and simply supported boundary conditions are considered.
Kanaka Raju, K., Hinton, E.
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hp-Clouds in Mindlin's thick plate model
International Journal for Numerical Methods in Engineering, 2000Summary: In the last few years a number of numerical procedures called as meshless methods have been proposed. Among them, we can mention the diffuse element method, smooth particle hydrodynamics, element free Galerkin method, reproducing kernel particle method, wavelet Galerkin methods, and the so-called \(hp\)-cloud method.
Garcia, Oscar +3 more
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Reduced minimization of Mindlin plate
International Journal for Numerical Methods in Engineering, 1994AbstractThe use of inconsistent displacement fields for Mindlin plate elements causes unmatched coefficients to appear in shear strain interpolations. The role of the numerical integration order in relation to these unmatched coefficients, and the existence of optimal stress points are explained through the use of the reduced minimization concept. This
Oak-Key, Min, Yong-Woo, Kim
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Geometrical nonlinear analysis of rectangular mindlin plates
Computers & Structures, 1991Abstract An approximate method is developed to study the geometrical nonlinear analysis of the rectangular plates. The solutions are obtained by transforming the partial differential equations into the integral equations and applying the numerical integrations. The nonlinear problem is solved by the iteration and the load incremental procedure.
Matsuda, H., Morita, C., Sakiyama, T.
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Free vibration of isosceles triangular mindlin plates
International Journal of Mechanical Sciences, 1993The free flexural vibration of thick isosceles triangular plates based on the Mindlin shear deformation theory is investigated. The pb-2 Rayleigh-Ritz method, proposed earlier by the authors, is employed for solution. New sets of vibration frequency parameters for isosceles triangular Mindlin plates with various apex angles, thickness-to-width ratios ...
Kitipornchai, S. +3 more
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Finite Element Analysis of Mindlin Plates
Journal of Mechanical Design, 1979A finite element displacement formulation with the shear deformation capability for the axisymmetric bending analysis of circular plates is presented. The displacement field is expressed in terms of interpolation functions which are exact solutions to Mindlin’s governing plate equations.
M. N. Bapu Rao, K. S. S. Kumaran
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Topology optimization of periodic Mindlin plates
Finite Elements in Analysis and Design, 2008Periodic structures exhibit unique dynamic characteristics that make them act as tunable mechanical filters for wave propagation. As a result, waves can propagate along the periodic structures only within specific frequency bands called the 'pass bands' and wave propagation is completely blocked within other frequency bands called the 'stop bands' or ...
Adel El-Sabbagh, Wael Akl, Amr Baz
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