Singular solutions in viscoplasticity under plane strain conditions

被引:0
作者
Sergei Alexandrov
Yusof Mustafa
机构
[1] Russian Academy of Sciences,A.Yu. Ishlinskii Institute for Problems in Mechanics
[2] Universiti Teknologi Malaysia,Faculty of Mechanical Engineering
来源
Meccanica | 2013年 / 48卷
关键词
Maximum friction law; Saturation stress; Singular solution; Viscoplasticity;
D O I
暂无
中图分类号
学科分类号
摘要
The paper deals with asymptotic behavior of viscoplastic solutions in the vicinity of maximum friction surfaces under plane strain conditions. The definition of maximum friction surfaces is that the friction stress is equal to the shear yield stress at sliding. The constitutive equations of the viscoplastic model adopted include a saturation stress. It is shown that it is possible to choose parameters of the viscoplastic model such that the regime of sliding is possible at maximum friction surfaces. In this case solutions are singular in the vicinity of such surfaces. Because of this feature of solutions, the viscoplastic model chosen possesses a smooth transition of qualitative behavior between rigid perfectly plastic and viscoplastic solutions, and this may prove to be advantageous for some applications.
引用
收藏
页码:2203 / 2208
页数:5
相关论文
共 76 条
  • [1] Alexandrov S(2001)Singular plastic flow fields near surfaces of maximum friction stress Int J Non-Linear Mech 36 1-11
  • [2] Richmond O(2002)Singular solutions for plane plastic flow of pressure-dependent materials Dokl Phys 47 308-311
  • [3] Alexandrov S(1964)A theory of the kinematics of ideal soils under plane strain conditions J Mech Phys Solids 12 337-351
  • [4] Lyamina E(2005)Compression and shear of a layer of granular material J Eng Math 52 251-264
  • [5] Spencer AJM(2006)Comparison of solution behaviour for three models of pressure-dependent plasticity: a simple analytical example Int J Mech Sci 48 750-762
  • [6] Spencer AJM(2009)Specific features of solving the problem of compression of an orthotropic plastic material between rotating plates J Appl Mech Tech Phys 50 886-890
  • [7] Alexandrov S(2010)An exact solution for a model of pressure-dependent plasticity in an un-steady plane strain process Eur J Mech A, Solids 29 966-975
  • [8] Harris D(2011)Behavior of anisotropic plastic solutions in the vicinity of maximum-friction surfaces J Appl Mech Tech Phys 52 483-490
  • [9] Alexandrov S(2005)A hyperbolic well-posed model for the flow of granular materials J Eng Math 52 107-135
  • [10] Alexandrov S(2000)On the maximum friction law for rigid/plastic, hardening materials Meccanica 35 393-398