Singular and non-singular concentrations of transversal forces in linear-elastic plates

线弹性板横向力的奇异和非奇异集中

• 批准号: 319297307
• 负责人: Professor Dr.-Ing. Wilfried Becker
• 金额: --
• 依托单位: Fachgebiet Strukturmechanik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/319297307?language=en
• 关键词: Singular; non; singular; concentrations; transversal

It is a goal of the currently intended research project to generate and formulate an extension of Kirchhoff's plate theory that goes a step into the direction of Reissner-Mindlin's plate theory in such a way that the resultant differential equations are of a homogeneous derivation order and thus allow the formulation and implementation of a corresponding method of complex potentials. Another goal is the actual solution of a set of well-selected boundary value problems. For that purpose the kinematic quantities w, psi_x and psi_y are to be represented by three holomorphic potentials in such a way that the three (coupled) differential equations for the kinematic quantities are fulfilled in an identical manner for an arbitrary choice of the complex potentials. In the case that the new extended plate theory and the corresponding complex potential method prove to be well suitable for the solution of problems with concentrations in the transverse cross-sectional forces a further goal will be a respective extension of the numerical tool of the scaled boundary finite element method. This extension eventually should be implemented in a new analysis code.

这是一个目标，目前打算的研究项目，以产生和制定一个扩展基尔霍夫的板理论，一步到方向Reissner-Mindlin的板理论，以这样一种方式，所得的微分方程是一个齐次推导阶，从而允许制定和实施相应的方法的复势。另一个目标是一组精心挑选的边值问题的实际解决方案。为此目的，运动学量w、psi_x和psi_y由三个全纯势表示，使得对于任意选择的复势，运动学量的三个（耦合的）微分方程以相同的方式满足。在这种情况下，新的扩展板理论和相应的复势方法被证明是非常适合的横向横截面力的浓度的问题的解决方案，进一步的目标将是相应的扩展比例边界有限元法的数值工具。这个扩展最终应该在一个新的分析代码中实现。

项目成果

A complex potential method for the asymptotic solution of wedge problems using first-order shear deformation plate theory

• DOI: 10.1016/j.euromechsol.2016.09.016
• 发表时间: 2017
• 期刊: European Journal of Mechanics A-solids
• 影响因子: 4.1
• 作者: J. Felger;W. Becker

A modified plate model for an efficient analytical treatment of stress concentrations at notches

一种改进的板模型，用于有效分析处理缺口处的应力集中

• DOI: 10.1002/pamm.201800133
• 发表时间: 2018
• 期刊: PAMM
• 作者: Felger;Becker
• 通讯作者: Becker