首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Plane strain slip line theory for anisotropic rigid/plastic materials
Authors:JR Rice
Institution:Division of Engineering, Brown University, Providence, Rhode Island, U.S.A.
Abstract:A slip line theory governing states of incipient plane flow at the yield point load is developed for anisotropic rigid/plastic materials which exhibit a reduced yield criterion, governing states of plane flow, that depends only on the deviatoric parts of the in-plane stress tensor. It is shown that every homogeneous, incompressible material which complies with the principle of maximum plastic work, but which is of otherwise arbitrary anisotropy, is of this class. The stress equilibrium requirements are seen to take a remarkably simple form expressing the constancy of the quantities mean in-plane normal stress plus or minus arc length around the governing yield contour in a Mohr stress plane along members of the two slip line families. Further, this generalization of the Hencky equations is valid for every material of the considered class. Some special features of yield contours containing corners and flat segments are discussed, and velocity equations are given for materials complying with the maximum work inequality. The theory is applied to obtain the solution for indentation of an arbitrarily anisotropic half-space with a flat-ended, rigid, frictionless punch. A simple, universal formula, involving only geometrical dimensions of the governing yield contour, is derived for the yield point indentation pressure.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号