期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

无网格方法在动力学中的应用 被引量：1

Application of Meshless Method in Dynamic Mechanics
下载PDF
导出
摘要 再生核质点法是近几年研究出的一种新型无网格方法,该方法具有只需要质点信息无需划分单元的无网格特性,具有计算优势.介绍了再生核质点法,并将其应用到非线性动力学研究.动力学过程涉及多重非线性,假设动力学中变形属于小变形情况,同时考虑材料非线性的前提下,通过引入增量型的材料本构模型,采用完全Lagrangian计算格式,推导了动力学的再生核质点法计算控制方程.通过算例验证了该方法在动力学问题中的有效性. As a new type of meshless method which has appeared in recent years, the Reproducing Kernel Particle Method has such meshless features as the need for nodes only without classified units, and is advantageous in the process of calculation. The present study introduces the Reproducing Kernel Particle Method and applies it to the research of nonlinear dynamic mechanics. The dynamic process involves different kinds of nonlinearity. The study assumes that deformation of dynamic analysis belongs to small one and that the material nonlinearity has been taken into account. When under small strain, the increment constitutive law and the total Lagrangian model of calculation are adopted to deduce the dynamic control equation by the Reproducing Kernel Particle Method. The instances of calculation demonstrate that this method is effective in the analysis of dynamic problems.
作者 赵光明 宋顺成 杨显杰
机构地区 安徽理工大学资源开发与管理工程系 西南交通大学应用力学与工程系
出处 《重庆大学学报（自然科学版）》 EI CAS CSCD 北大核心 2006年第4期54-57,共4页 Journal of Chongqing University
基金 国家自然科学基金资助项目(10372086) 安徽省高校省级自然科学研究项目(2006-KJ007C)
关键词 再生核质点法 无网格法 动力学 非线性 reproducing kernel particle method meshless method dynamic nonlinearity
分类号 O347 [理学—固体力学]
  • 相关文献

参考文献9

  • 1LUCY L.A Numerical Approach to the Testing of Fission Hypothesis[J].A J,1977,82:1 013-1 024.
  • 2NAYROLES B,TOUZOT G,VILLON P.Generalizing the Finite Element Method:Diffuse Approximation and Diffuse Elements[J].Computational Mechenics,1992,10 (5):307 -318.
  • 3BELYTSCHKO T,LU Y Y,GU L.Element Free Galerkin Methods[J].Int J Numer Methods Engng,1994,37 (2):229-256.
  • 4ARLURI S N,ZHU T.A New Meshless Local Pretrov-galerkin Approach in Computational Mechanics[J].Computational Mechanics,1998,22(2):117-127.
  • 5LIU W K,JUN S,ZHANG Y F.Reproducing Kernel Particle method[J].Int J Numer Methods Fluids,1995,20:1081-1106.
  • 6LIU W K,JUN S,LIS F,et al.Reproducing Kernel Particle Methods for Structural Dynamics[J].Int J Numer Methods Engng,1995,38:1655 -1679.
  • 7LIU W K,WU Y C,ZOU G P,et al.Elasto-plasticity Revisited:Numerical Analysis Via Reproducing Kernel Particle Method and Parametric Quadratic Programming[J].Int J Numer Methods Engng,2002,55:669-683.
  • 8SUKUMAR N,MORAN B,BELYTSCHKO T.The Natural Element Method in Solid Mechanics[J].Int J Numer Methods Engng,1998,43 (5):839-887.
  • 9周进雄,张红艳,张陵,李梅娥.再生核质点法研究进展[J].力学进展,2002,32(4):535-544. 被引量：17

二级参考文献36

  • 1Liu W K, Chen Y. Wavelet and multiple scale reproducing Kernel methods. Int J Numer Methods Fluids, 1995, 21:901～931
  • 2Liu W K, Chen Y, Uras R A. Enrichment of the finite element method with reproducing Kernel particle method. In: Cory J J F, Gordon J L, eds. Current Topics in Computational Mechanics. ASME PVP, 1995, 305. 253～258
  • 3Ohs R R, Aluru N R. Meshless analysis of piezoelectric devices. Compt Mech, 2001, 27:23～36
  • 4Belytschko T, Lu Y Y , Gu L. Element-free Galerkin methods. Int J Numer Methods Engrg, 1994, 37:229～256
  • 5Aluru N R. A reproducing Kernel particle method for meshless analysis of microelectromechanical systems. Comput Mech, 1999, 23:324～338
  • 6Lu Y Y, Belytschko T, Gu L. A new implementation of the element free Galerkin. Comput Methods Appl Mech Engrg, 1994, 113:397～414
  • 7Chen J S, Pan C, Wu C T, Liu W K. Reproducing Kernel particle methods for large deformation analysis of nonlinear structures. Comput Methods Appl Mech Engrg, 1996, 139:195～229
  • 8Duarte C A , Oden J T. An h-p adaptive method using clouds. Comput Methods Appl Mech Engrg, 1996, 139: 237～262
  • 9Gunther F C, Liu W K. Implementation of boundary conditions for meshless methods. Comput Methods Appl Mech Engrg, 1998, 163:205～230
  • 10Liu W K, Chen Y, Jun S, et al. Overview and applications of the reproducing Kernel particle methods. Arch Comput Methods Engrg: State of the Art Review, 1996, 3:3～80

共引文献16

同被引文献17

  • 1Liu W K, Jun S, Zhang Y F. Reproducing kernel particle method[J]. International Journal for Numerical Methods in Fluids, 1995,20:1081--1106.
  • 2Jones S E, Paul J M, Joseph C F. An engineering analysis of plastic wave propagation in the Taylor test[J]. International Journal of Impact Engineering, 1997,19 (2) : 95--106.
  • 3Jones S E, Drinkard J, Rule W K, et aL An elementary theory for the Taylor impact test[J]. International Journal of Impact Engineering, 1998,21(1/2):1--13.
  • 4Ting T C. Impact of nonlinear viscoplastic rod on a rigid wall [J]. Journal of Applied Mechanics-Transactions of the ASME, 1966, 33:505--510.
  • 5Hutching I M. Estimation of yield stress in polymers at high strain-rates using G I Taylor's impact teehnique[J].Journal of the Mechanics and Physics of Solids, 1979, 26: 289--299.
  • 6House J W, Lewis J C, Gillis P P, et al. Estimation of flow stress under high rate plastic deformation[J]. International Journal of Impact Engineering, 1995,16(2) : 189--200.
  • 7Johnson G R, Holmquist T J. Evaluation of cylinder-impact test data for constitutive model constant[J]. Journal of Applied Physics, 1988,64:3901--3911.
  • 8Key S W, Heinstein M W, Stone C M, et al. A suitable low-order, tetrahedral finite element for solids[J]. International Journal for Numerical Methods in Engineering, 1999,44:1785--1805.
  • 9Rule W K, Jones S E. A revised form for the Johnson-Cook strength model[J]. International Journal of Impact Engineering, 1998,21(8) : 609--824
  • 10Lapczyk I, Rajagopal K R, Srinivasa A R. Deformation twinning during impact-numerical calculations using a constitutive theory based on multiple natural configurations[J]. Computational Mechanics, 1998,21(1):20-- 27.

引证文献1

重庆大学学报（自然科学版）
2006年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部