排序方式: 共有55条查询结果,搜索用时 15 毫秒
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将非光滑方程组方法与Mortar StS接触模型(Mortar Segment-to-Segment)相结合,来求解接触面网格非匹配时的弹性接触问题.其中,非光滑方程组方法是求解弹性摩擦接触问题的有效方法,具有精确满足接触条件、迭代算法收敛性有理论保证的优点,但目前仅用于求解网格匹配的接触问题.Mortar StS接触模型可以较为方便地处理网格非匹配接触问题,其特点是不引入过多约束,满足接触分片检验条件,但目前大都采用“试验-误差”迭代方法求解控制方程,对于复杂接触问题,其收敛性不易保证.因此,将二者结合来处理网格非匹配接触问题,既可以提高求解精度,又能使得算法的收敛性得到理论保证.数值算例对接触分片检验和算法的计算精度进行了验证. 相似文献
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In general, triangular and quadrilateral elements are commonly applied in two-dimensional finite element methods. If they are used to compute polycrystalline materials, the cost of computation can be quite significant. Polygonal elements can do well in simulation of the materials behavior and provide greater flexibility for the meshing of complex geometries. Hence, the study on the polygonal element is a very useful and necessary part in the finite element method. In this paper, an n-sided polygonal element based on quadratic spline interpolant, denoted by PS2 element, is presented using the triangular area coordinates and the B-net method. The PS2 element is conforming and can exactly model the quadratic field. It is valid for both convex and non-convex polygonal element, and insensitive to mesh distortions. In addition, no mapping or coordinate transformation is required and thus no Jacobian matrix and its inverse are evaluated. Some appropriate examples are employed to evaluate the performance of the proposed element. 相似文献
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Isopaxametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and conformality. A 17onode quadrilateral element has been developed using the bivaxiate quaxtic spline interpolation basis and the triangular area coordinates, which can exactly model the quartic displacement fields. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions. 相似文献
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精化直接刚度法与不协调模式 总被引:12,自引:0,他引:12
陈万吉 《计算结构力学及其应用》1995,12(2):127-132
基于不协调元的收敛条件,建立了精化直接刚度法所对应的不协调位移模式,从而使RDSM成为建立单变量不协调元的有实用性的一般方法。 相似文献
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裂缝重力坝的非线性分析 总被引:4,自引:0,他引:4
本文按弹性接触理论建立了具有裂缝的重力坝结构分析的数学模型。着重分析了该坝体的非线性结构特性,并讨论了加载历史的不可逆性及载荷的不可迭加性。为了便于工程应用,在难以描述真实加载历史的情况下,提出建立相当加载历史和裂缝相当初态的分析方法。 相似文献
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对单变量有限元和多变量有限元进行了综合分析和比较。其中包括有限元法的单元的可靠性问题:收敛性,坐标不变性,伪零能模式;单元的性能:计算精度,对畸变网格的适应性及解除闭锁、解的晃动现象等问题。进一步对单变量有限元提出新的思考,用精化直接刚度法发展单变量有限元,使之能兼备单变量有限元与多变量有限元之长,克服两者之短。 相似文献
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陈万吉 《应用数学和力学(英文版)》1986,(5)
According to recent studies of the generalized variational principle by Professor ChienWeizang,the more generalized hybrid variational principle for finite element method isgiven,from which a new kind of the generalized hybrid element model is etablished.Using the thin plate bending element with varying thickness as an example,wecompare various hybrid elements based on different generalized variational principles. 相似文献