Homogenization of elastic plate equation∗
Mathematical Modelling and Analysis, 2018 We are interested in general homogenization theory for fourth-order elliptic equation describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. Such theory is well-developed for second-order elliptic problems,
Krešimir Burazin +2 more
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Bending Solution for Simply Supported Annular Plates Using the Indirect Trefftz Boundary Method [PDF]
Civil Engineering Infrastructures Journal, 2016 This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory.
Amin Ghannadiasl, Asadollah Noorzad
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On boundary layer in the Mindlin plate model: Levy plates [PDF]
, 2008 This work is related to the bending problem of thick rectangular Levy plates. Series solution for the Mindlin (thick) plate model is obtained and represented as a sum of the Kirchhoff (thin) plate model solution, the ``shear terms'' and the ``boundary ...
Brank, Boštjan
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Stress intensity factors computation for bending plates with extended finite element method [PDF]
, 2012 The modelization of bending plates with through-the-thickness cracks is investigated. We consider the Kirchhoff–Love plate model, which is valid for very thin plates.
Adams +28 more
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Vibro-impact of a plate on rigid obstacles: existence theorem, convergence of a scheme and numerical simulations [PDF]
, 2012 The purpose of this paper is to describe a fully discrete approximation and its convergence to the continuum dynamical impact problem for the fourth-order Kirchhoff–Love plate model with nonpenetration Signorini contact condition.
Pozzolini, Cédric +2 more
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Stochastic Finite Element Analysis of Plate Structures Considering Spatial Parameter Random Fields
Mathematics, 2023 For plate structures, their random parameters can be regarded as a two-dimensional random field in the plane. To solve the plate theory considering a two-dimensional random field, an efficient strategy for the stochastic finite element method was adopted.
Yan Yang, Fang-Wen Ge, Xiang Liu
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The TDNNS method for Reissner-Mindlin plates [PDF]
, 2017 A new family of locking-free finite elements for shear deformable Reissner-Mindlin plates is presented. The elements are based on the "tangential-displacement normal-normal-stress" formulation of elasticity.
Pechstein, Astrid, Schöberl, Joachim
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Edge waves and resonance on elastic structures: An overview [PDF]
, 2011 Copyright @ 2011 SAGE PublicationsOver 50 years have elapsed since the first experimental observations of dynamic edge phenomena on elastic structures, yet the topic remains a diverse and vibrant source of research activity.
Kaplunov, JD, Lawrie, JB
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The linearized Kirchhoff theory for plates with incompatible prestrain
, 2020 arXiv admin note: text overlap with arXiv:1503.08845, arXiv:1910.00404 by other ...
Qin, Yizhao, Yao, Pengfei
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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