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: 真实结果表明: σx,σy,τxy,τxz,τyz,σz 这六...
O. Iosifescu, C. Licht, G. Michaille, Nonlinear Boundary Conditions in Kirchhoff-Love Plate Theory, J. Elasticity 96 (2009) 57-79.Licht, C., Iosifescu, O., Michaille, G.: Nonlinear boundary conditions in Kirchhoff-Love plate theory. In: Proceedings of the 4th International Conference ...
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,...
Plane stress assumption: Kirchhoff–Love plates The basic assumptions of Kirchhoff plate theory can be summarized as follows: no thickness changes, no transverse shear, linear distributions of the in–plane stresses, and parabolic distribution of the transverse shear stresses. The model can be applied...
Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bezier extraction The equations that govern Kirchhoff-Love plate the Vignollet,Julien,D Borst,... - 《International Journal for Numerical Methods in Engineering》 被引量: 10发表...
The Kirchhoff–Love shell theory is recasted in the frame of the tangential differential calculus (TDC) where differential operators on surfaces are formulated based on global, three-dimensional coordinates. As a consequence, there is no need for a parametrization of the shell geometry implying curvi...
dependence of the loading functions on the plate thickness, the Reissner–Mindlin model has a wider range of validity than Kirchhoff–Love. For some problems, the relative error of the Reissner–Mindlin model converges to zero, while the Kirchhoff–Love does not. The problems exhibiting this...
Intermediate Theory Between Kirchhoff–Love and Uflyand–Mindlin Plate Theories: Truncated Uflyand–Mindlin Equations 来自 World Scientific 喜欢 0 阅读量: 46 作者: I Elishakoff 摘要: In this chapter, we first deal with the generalization of the Timoshenko–Ehrenfest beam theory into the associated...
Modified Strain Gradient Theory (MSGT) is considered to be one of the most accurate methods for this, considering both theoretical compatibility and numerical accuracy. In this study, two sets of Kirchhoff and twist㎏irchhoff bending rectangular plate finite elements for MSGT are developed as ...
Physics, School of Engineering Nagoya University, Chikusa-ku, Nagoya 464-01, Japan INTRODUCTION In this paper, we study an inverse boundary value problem for the equation of the flexure of the linear, inhomogeneous isotropic, elastic, thin plate in the context of the Love-Kirchhoff theory. More...