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首页> 外文期刊>Computer Modeling in Engineering & Sciences >On Static Analysis of Composite Plane State Structures via GDQFEM and Cell Method
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On Static Analysis of Composite Plane State Structures via GDQFEM and Cell Method

机译：通过GDQFEM和细胞法静态分析复合平面状态结构的静态分析

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摘要

In this paper, an advanced version of the classic GDQ method, called the Generalized Differential Quadrature Finite Element Method (GDQFEM) is formulated to solve plate elastic problems with inclusions. The GDQFEM is compared with Cell Method (CM) and Finite Element Method (FEM). In particular, stress and strain results at fiber/matrix interface of dissimilar materials are provided. The GDQFEM is based on the classic Generalized Differential Quadrature (GDQ) technique that is applied upon each sub-domain, or element, into which the problem domain is divided. When the physical domain is not regular, the mapping technique is used to transform the fundamental system of equations and all the compatibility conditions. A differential problem defined on the regular master element in the computational domain is turned into an algebraic system. With respect to the very well-known Finite Element Method (FEM), the GDQFEM is based on a different approach: the direct derivative calculation is performed by using the GDQ rule. The imposition of the compatibility conditions between two boundaries are also used in the CM for solving contact problems. Since the GDQFEM is a higher-order tool connected with the resolution of the strong formulation of the system of equations, the compatibility conditions must be applied at each disconnection in order to capture the discontinuity between two boundaries, without losing accuracy. A comparison between GDQFEM, CM and FEM is presented and very good agreement is observed.
机译：在本文中，配制了一种称为广义差分正交有限元方法（GDQFEM）的经典GDQ方法的先进版本，以解决夹杂物的板弹性问题。将GDQFEM与细胞法（CM）和有限元方法（FEM）进行比较。特别地，提供了提供不同材料的纤维/基质界面的应力和应变结果。 GDQFEM基于应用于每个子域或元素的经典广义差分正交（GDQ）技术。当物理域不规则时，映射技术用于转换方程的基本系统和所有兼容性条件。在计算域中的常规主元素上定义的差异问题变为代数系统。关于非常众所周知的有限元方法（FEM），GDQFEM基于不同的方法：通过使用GDQ规则执行直接衍生计算。在CM中也使用两个边界之间的相容条件的施加，以解决接触问题。由于GDQFEM是与分辨率连接的高阶工具，该高阶工具与方程系统的强制配方相关，因此必须在每个断开处施加兼容性条件，以便捕获两个边界之间的不连续性，而不会降低精度。提出了GDQFEM，CM和FEM之间的比较，观察到非常好的协议。

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