【摘要】 采用虚边界元法求解单域问题,其思想相对比较成熟,且有多篇文献可参阅.文中就多域组合问题提出了虚边界元法的求解思想,即将整个求解域视为若干个子域的组合体,依据虚边界元法建立单域问题数学模型的思想和各相邻子域之间的连续性条件(或接触条件)来形成求解问题的方差泛函.文中思想可推广应用于分域等厚度薄板、各域材料性质不同的组合体、多层胶合厚板、接触等问题的求解及虚边界元法与有限元法的耦合技术等.文中重在给出虚边界元法求解多域组合问题的理论论述,并以若干较简单的数值算例来证明该方法的有效性及计算精度.更多还原

【Abstract】 Traditionally,a virtual boundary element method(BEM) is used to solve a single-domain problem.Here,BEM is applied to multi-domain composite problems.Specifically,the domain to be solved was considered a composite body of many single domains,and the square variance functional for solving a multi-domain problem came from the idea of establishing a mathematical model for solving a single-domain problem and employing a continuity condition(contact condition) between each adjacent single-domain.The method can be applied to problems such as a multidomain thin plate with the same thickness,a composite body with different material propertials,a composite material laminated plate,contact problems,and coupling technology of a virtual BEM and finite element method.Theoretical solutions are presented,as well as simple numerical examples that demonstrate the efficiency and precision of the method.更多还原