今天写有关板壳理论的第一节,有关各向同性薄板的小挠度弯曲的模型建立。也就是基于Kirchhoff计算假定的应用弹性力学的薄板问题的建模。 特别地,这次会从真实结果出发,反推应用弹性力学的简化建模是否合理。 一、从真实结果出发,深入解读Kirchhoff计算假定:
板壳理论是弹性力学中一个重要的分支，它主要应用于分析各向同性薄板在小挠度弯曲下的行为。以Kirchhoff–Love Plate Theory为例，我们将深入探讨基于该理论的简化建模及其合理性。从真实结果出发，我们发现Kirchhoff–Love理论的六个应力分量并非等量级，其中，法向应力 [公式] 是主要应力，切应力 [公式] ...
The Kirchhoff-Love theory also known as the classical plate theory (CPT) is based on three basic assumptions. First, the plate is assumed to be inextensible in the transverse direction ɛzz=0 so w=woxy. Then, it is assumed that the transverse shear deformations are negligible ɛxz=0,...
As a consequence, there is no need for a parametrization of the shell geometry implying curvilinear surface coordinates as used in the classical shell theory. Therefore, the proposed TDC-based formulation also applies to shell geometries which are zero-isosurfaces as in the level-set method where...
Then, the results are equivalent to those obtained based onthe classical theory. However, it may also be used in recent f i nite element approaches as the TraceFEM and CutFEM whereshape functions are generated on a background mesh without any need for a parametrization. Numerical results ...
The Kirchhoff-Love shell theory is recasted in the frame of the tangential differential calculus where differential operators on surfaces are formulated without the need for a parametrization, i.e., local coordinates. The governing equations are presented in strong and weak form including a detailed...
"On the boundary conditions of the geometrically nonlinear Kirchhoff-Love shell theory". In: International Journal of Solids and Structures 51.18 (2014), pp. 3101-3112.V. Ivannikov, C. Tiago, P.M. Pimenta, Meshless implementation of the geometrically exact Kirchhoff-Love shell theory, ...
Une nouvelle version de la théorie des plaques de Kirchhoff-Love. (A new version of the Kirchhoff-Love plate theory) 来自 ResearchGate 喜欢 0 阅读量: 56 作者: P Ladeveze 摘要: A new approach is introduced for the analysis and computation of homogeneous, isotropic elastic plates subjected to...
Chien Weizang, The first order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed ~oundary under uniform surface loading (I), Applied Mathematics and Mechanics, 18,'1 (1997), 1~18.Chien, W-Z (1997) The first order approximation of non-KirchhoffLove theory for...
An Inverse Problem for the Plate in the Love–Kirchhoff Theory This paper studies an inverse boundary value problem for the equation of the flexure of the linear, inhomogeneous, isotropic, thin plate in the context of ... M Ikehata - 《Siam Journal on Applied Mathematics》 被引量: 52发表:...