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1伽辽金型无网格法的数值积分方法显示文摘无网格法直接通过节点信息构造形函数,不依赖于节点之间的有序单元连接,能够建立任意高阶连续的整体协调形函数.与传统的有限元法相比,无网格法对大变形问题、移动边界问题和高阶问题的求解有比较明显的优势.伽辽金型无网格法是目前应用最为广泛的一类无网格法.虽然无网格形函数本身不依赖于单元,但伽辽金型无网格法需要采取合适的方法进行弱形式的数值积分.由于无网格形函数一般不是多项式,具有非插值性且影响域与背景积分网格通常不重合,伽辽金型无网格法通常需要采用高阶的高斯积分进行数值积分,导致了计算效率低下,难于求解大型实际问题.因此,如何通过建立高效积分方法提高无网格法的计算效率成为无网格法研究领域的一个核心问题.论文总结了伽辽金型无网格法中若干常用的数值积分方法,并对伽辽金型无网格法的数值积分方法领域存在的一些问题进行了探讨.吴俊超 邓俊俊 王家睿 王东东 2016固体力学学报2016,37,3:17
2Research advance in failure risk and local strength failure for high arch dams显示文摘To develop national economy and use the water resources and hydropower resources sufficiently,a lot of high arch dams,with the height of more than 200 m,have been and will be built in China.Although arch dams have good mechanical behavior,there is still failure possibility due to the huge water pressure and high stress level in dam,complex topographic and geologic conditions,formidable environment and high intensity earthquake.As one of the three main aspects concerning the safety of high arch dam,the study on global destruction,has been elaborated in the literatures,and research advance in the other two aspects,namely the failure risk and local damage of high arch dams,will be reviewed in this paper.In recent years,the failure risk of high arch dams has been investigated,and the model for identifying dam failure risk factors has been established.It is shown that the foundation deterioration and strong earthquake are the major risk sources for high dam failure.With the fault tree method,the failure mode and failure probability of high arch dams are studied,and the principle for determining failure mode and the method of calculating failure probability are proposed.Meanwhile,the determination principle of acceptable risk standard for high arch dam was proposed,and the acceptable risk rate and the acceptable standard value of various risk losses were given.For the local damage of arch dam,it is pointed out that the local damage belongs to the strength failure at material level.The study on local failure mechanism of arch dam is reviewed,based on the theories that from traditional strength theory to damage mechanics and meso-mechanics theory.Aiming at the cracking,the main pattern of local failure of high concrete dam,the research advances in the analysis methods and cracking criteria for smeared crack model and discrete crack model are summarized,and the research findings of preventive measures for local failure are shown.REN QingWen LI Qiang LIU Shuang 2012Chinese Science Bulletin2012,57,36:5
3A three-dimensional two-level gradient smoothing meshfree method for rainfall induced landslide simulations显示文摘A three-dimensional two-level gradient smoothing meshfree method is presented for rainfall induced landslide simulations. The two-level gradient smoothing for meshfree shape function is elaborated in the threedimensional Lagrangian setting with detailed implementation procedure. It is shown that due to the successive gradient smoothing operation without the requirement of derivative computation in the present formulation, the two-level smoothed gradient of meshfree shape function is capable of achieving a given influence domain more efficiently than the standard gradient of meshfree shape function. Subsequently, the two-level smoothed gradient of meshfree shape function is employed to discretize the weak form of coupled rainfall seepage and soil motion equations in a nodal integration format, as provides an efficient three-dimensional regularized meshfree formulation for large deformation rainfall induced landslide simulations. The exponential damage and pressure dependent plasticity relationships are utilized to describe the failure evolution in landslides. The plastic response of soil is characterized by the true effective stress measure, which is updated according to the rotationally neutralized objective integration algorithm. The effectiveness of the present threedimensional two?level gradient smoothing meshfree method is demonstrated through numerical examples.Dongdong WANG Jiarui WANG Junchao WU Junjun DENG Ming SUN 2019Frontiers of Structural and Civil Engineering2019,13,2:2
4积分节点迎风偏移的节点积分无单元Galerkin方法显示文摘建立求解稳态对流-扩散方程的一种稳定、高效的无单元Galerkin方法.该方法计算积分时采用基于局部Taylor展开的节点积分,并根据对流占优的程度对积分节点进行自适应迎风偏移.与传统的使用稳定化的无单元Galerkin方法相比,该方法是一种不依赖于背景网格积分的纯无网格方法,具有更好的稳定性和较高的计算效率,其程序实施更为简便.王晓东 欧阳洁 王玉龙 蒋涛 2012计算物理2012,29,2:1
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