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.

这是当前预定的研究项目的一个目标，旨在生成和制定基希霍夫的板块理论的扩展，该理论迈向了Reissner-Mindlin的板块理论的方向，以使所得的微分方程具有均匀的衍生顺序，从而允许制定和实施相应的复杂潜力方法。另一个目标是一组精心挑选的边界价值问题的实际解决方案。为此，运动量W，PSI_X和PSI_Y应由三个全态电位代表，以使运动量的三个（耦合）微分方程以相同的方式实现，以与复杂电位的任意选择相同。如果新的扩展板理论和相应的复杂电势方法被证明非常适合解决横截面浓度的问题的解决方案，则进一步的目标将是缩放边界有限元方法的数值工具的各自扩展。最终应在新的分析代码中实现此扩展。

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