Modeling of crack propagation via an automatic adaptive mesh refinement based on modified superconvergent patch recovery technique

In this paper, an automated adaptive remeshing procedure is presented for simulation of arbitrary shape crack growth in a 2D finite element mesh. The Zienkiewicz-Zhu error estimator is employed in conjunction with a modified SPR technique based on the recovery of gradients using analytical crack-tip fields in order to obtain more accurate estimation of errors. The optimization of crack-tip singular finite element size is achieved through the adaptive mesh strategy. Finally, several numerical examples are illustrated to demonstrate the effectiveness, robustness and accuracy of computational algorithm in calculation of fracture parameters and prediction of crack path pattern.     

On a consistent field transfer in non linear inelastic analysis and ultimate load computation

In this work we propose a field transfer operator for remeshing carried out in the course of incremental analysis of a non linear inelastic behavior. The proposed procedure is geared towards the ultimate load computation of a complex structure, where we choose the appropriate mesh grading for each different phase of computations, starting with a coarse mesh for the initial linear response and going towards a more refined mesh for highly nonlinear inelastic response. The proposed projection operator is developed on the basis of diffuse approximation method. The key feature of such an operator is to guarantee the conservation of relevant mechanics quantities which ensures a superior performance of the proposed field transfer with respect to the standard remeshing procedure. We present the illustrative results both for an isotropic damage model and standard plasticity model, indicating very satisfying performance.     

全局各向异性四边形主导网格重建方法?

四边形网格的结构特点要求网格单元满足全局一致性,难以取得网格质量与表达效率之间的平衡。为此,提出一种基于全局的各向异性四边形主导网格重建方法,可生成网格质量好且冗余程度低的四边形网格。重建过程以主曲率线为基本采样单元,首先计算模型表面的主曲率场并对主曲率场积分,得到密集的主曲率线采样;再根据贪心算法,利用几何形体自身的各向异性找出冗余度最高的主曲率线并予以删除;如此循环,直至达到理想的采样密度。该重建方法适用于任意拓扑网格模型,所得到的各向异性四边形主导网格在网格模型分辨率下降时,由于始终保留重要主曲率线,从而可以更好地保持模型特征。同时,在基于贪心算法的渐进式主曲率线删除过程中,可产生分辨率连续可调的四边形主导网格。     

电镦成形过程电热力耦合有限元模拟若干关键技术的处理

电镦成形过程中坯料局部连续地被直接通电加热后变形 ,且变形量非常大。在运用有限元法对成形过程进行电热力耦合数值模拟分析时 ,如何处理电阻热、变形体积的连续增加以及大变形造成网格的畸变等问题 ,是能否获得正确分析结果的关键。作者通过分析坯料变形区域电场的分布 ,采用复合变体积和动态网格划分等方法 ,成功地解决了这些关键技术 ,并将其运用于有限元程序设计中 ,从而获得了满意的分析结果。     

金属塑性成形有限元模拟中的六面体单元再划分技术研究进展

系统分析比较了各种六面体单元网格再划分方法的具体技术思路和优缺点 ,及其在模拟三维金属体积成形过程中的应用。结论指出 ,基于在任意几何形状的三维实体上实现全自动生成满足要求的六面体网格的通用算法非常复杂和困难 ,涉及许多具体的特殊问题的处理 ,而且基于畸变后边界节点生成满足拟合精度的几何实体也是如此。本文提出基于畸变网格的质量优化和局部网格加密 /稀释是最佳的解决方法 ,既可以保持初始网格的拓扑结构 ,还可以有效地避开网格再划分问题