A Novel Approach in Formulation of Special Finite Elements

该研究包括一种新的方法，以开发更准确， 解决三维问题的有效技术， 不连续性和局部非线性。 有限元法 它的重要性在于它对治疗 任意几何形状和不同的材料属性。 一个人可以建造 一个特殊的有限元，它包含了不连续性， 单元公式，并将特殊单元耦合到 对系统的其余部分进行建模。 特殊元素配方， 与其他解决方案不同的是， 元素配方。 位移函数，对于 例如，结构问题，在近似中使用， 只要有分析结果就满足要求。 这将是 通过调用经典的解决方案作为约束， 单元刚度系数的推导。 这项研究将 带来了一种新的技术来处理不连续性，局部 局部水平的几何材料非线性， 网格细化。 为了进行数值比较， 方案将制定。

The research includes a new approach to develop more accurate and efficient techniques for solution of three dimensional problems with discontinuities and local nonlinearities. The finite element method owes its significance to its potentiality for the treatment of rather arbitrary geometry, and different material properties. One may build a special finite element that contains the discontinuity in the element formulation, and couple the special element to the mesh that models the rest of the system. The special element formulation, unlike others, will incorporate already existing classical solutions into the element formulations. The displacement function, for structural problems for example, used in approximations will exactly satisfy the analytical results wherever available. This will be achieved by invoking the classical solutions as constraints in the derivation of element stiffness coefficients. This research will bring about a new technique to handle discontinuities, local geometric-material nonlinearities at local level without requiring mesh refinements. For numerical comparison purposes a computer program will be developed.