U.S.-Venezuela Collaborative Research: Finite Element Software Development Using Computer Algebra Systems

0106665格里菲斯这是科罗拉多矿业学院的G.Vaughn Griffiths博士和委内瑞拉中央大学的Miguel Cerrolaza博士合作的项目。该提案旨在通过利用计算机代数系统(CAS)的功能来生成和简化冗长而复杂的代数表达式，来提高工程分析软件，特别是有限元方法的准确性和效率。这些将被直接输出到高级计算机语言中，以产生将使工程从业者和软件开发人员受益的例程的公共域库。合作者的利益相辅相成，重叠最少。美国小组的重点在于经典弹性的软件开发，而委内瑞拉小组对生物引擎应用特别感兴趣，两个小组都打算用封闭形式的表达式取代传统的有限元矩阵的数值积分。这项工作的结果将是一个公共领域的子程序套件，将可供所有FE软件的开发人员和用户使用。

0106665GriffithsThis is a collaborative project between Dr. G. Vaughn Griffiths, Colorado School of Mines, and Dr. Miguel Cerrolaza, Central University of Venezuela.The proposal is focussed on improving the accuracy and efficiency of engineering analysis software, specifically the finite element method, by exploiting the power of Computer Algebra Systems (CAS) to generate and simplify lengthy and complex algebraic expressions. These will be output directly into a high level computer language, to produce a public domain library of routines that will benefit engineering practitioners and software developers. The interests of the collaborators complement each other with minimal overlap. The priority of the US group resides in software development for classical elasticity, while the Venezuelan group has a particular interest in bio-engine applications, with both groups intending to replace traditional numerical integration of finite element matrices by closed form expressions. The outcome of this work will be a public-domain suite of subprograms that will be available to all developers and users of FE software.