向量式有限元--一种新型的数值方法

Vector form intrinsic finite element——a new numerical method

介绍一种新型数值方法——向量式有限元的特点与应用.首先结合一个简单的悬臂梁算例,概述向量式有限元的基本原理和有关计算步骤,并将向量式有限元与传统有限元方法的不同之处进行了比较归纳,接着总结了该方法在工程研究领域的应用与发展现状,最后对该新型数值方法尚需完善的方面作了简单说明.既有研究表明,相比传统有限元,向量式有限元能更准确地分析和预测结构在大变形、断裂、碰撞情况下的各种行为,在结构火灾数值模拟、桥梁结构抗震、FRP约束混凝土构件性能模拟等许多研究应用领域都具有良好应用前景.向量式有限元可以作为研究者在研究相关问题时的一个有力工具,也可以为工程设计人员的设计提供一种更精确的手段.

This paper presents the features and applications of a new numerical method named vector form intrinsic finite element method.Basic principals and procedures of vector form intrinsic finite element were summarized firstly in four points through a simple cantilever example,and differences were summed up compared with those of traditional finite element method.Then the applications and developments of this method in engineering and research fields was reviewed.The imperfect aspects of the method were supplemented finally.Existing studies show that this method can analyze and predict the discontinuous behaviors such as large deformation,fracture and collision more accurately in a great many fields such as numerical simulation of fire response of structure,bridge seismic and performance of FRP confined concrete structures and so on.Vector form intrinsic finite element can be a powerful tool for both researchers and designers.