An Investigation of Simple Finite Elements Via the Hu- Washizu Theorem

通过Hu-Washizu定理研究简单有限元

• 批准号: 8411757
• 负责人: Gerald Wempner
• 金额: $ 6.04万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1985
• 资助国家: 美国
• 起止时间: 1985-07-01 至 1987-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8411757&HistoricalAwards=false
• 关键词: Investigation; Simple; Finite; Elements; Via

Numerous theories for continuous elastic and elastic-plastic bodies are known to give acceptable results for many practical problems. While the search for better theories of nonlinear and inelastic behavior continues, the search also continues for methods of discrete approximations which provide accurate, reliable and economical means to utilize existing theories and computational facilities. The research will focus on the behavior and inherent difficulties in the simple triangular and quadrilateral elements, in particular, excessive stiffnesses associated with transverse shear deformations. The Hu-Washizu theorem will be employed as a tool to gain insights, to trace the origins of the stiffnesses and to provide rational bases for an effective "flat" element. The study will also explore rational means to implement discrete (Kirchhoff) constraints against transverse shear.

已知许多关于连续弹性体和弹塑性体的理论对于许多实际问题给出了可接受的结果。 在继续寻找更好的非线性和非弹性行为理论的同时，也继续寻找离散近似方法，这些方法为利用现有理论和计算设施提供了准确、可靠和经济的手段。 研究将重点关注简单三角形和四边形单元的行为和固有困难，特别是与横向剪切变形相关的过度刚度。 Hu-Washizu 定理将被用作获得见解、追踪刚度起源并为有效“扁平”单元提供合理基础的工具。 该研究还将探索实施离散（基尔霍夫）横向剪切约束的合理方法。