Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Acta Scicentiarum Naturalum Universitis Pekinesis》 1956-04
Add to Favorite Get Latest Update


Wang Jen  
The present paper treats the compression of a rectangular block between two parallel rough plates as a problem in the theory of plane strain for perfectly plastic-rigid materials.At first, the plastic-rigid theory of plane strain was outlined, then, the solution to the present problem is briefly surveyed. In section 4, the case that is left out in the present literature, viz. when the width-height ratio lies between 1 and 3.64 for partially rough plates is solved. In this treatment, the coefficient of friction ν is considered as constant along the contact surfaces. For eachμ, a critical value of the ratio w0/h is given. When w/hw0/h, the plastic region extends across the entire block, i. e. the unrestricted plastic flow is possible, before the frictional force is put to full use. In this case, there is no slip along the contact surfaces and the solution is the same as if the contact were perfectly rough.When w0/hw/hwo/h + 2 tan μo=w1/h, where μo is the frictional angle shown in Fig. 3, the slip line field can be constructed in a similar manner as initiated by A. F. Green (ref. 5). In the present case, however, a new parameter connected with μ should be added and the semi-inverse type of construction becomes very complicated.For w/h, the construction is again straightforward. The graphical construction used is described in detail in Appendix Ⅱ.The results of the solution are expressed in terms of Figs. 6 and 7, which show respectively: the average pressure on the plates vs. the width-height ratio for different values of μ and the pressure distributions along the plates. Although the construction for the intermediate case, w0/hw/hw1/h, was not canied out, it is clearly seen in Fig. 6, that the straight line interpolation cannot be far from that of the true solution.Analytic expresions in terms of a rapidly convergent series for the nodal points in a slip line field defined by equal circular arcs are given in Appendix I. The computation was compared to the results obtained by R. Hill (ref. 1) using graphical construction with fairly rough meshes. The comparison shows that the graphical construction used is accurate for all practical purposes. From these expressions we obtain the analytic expression for wo/h in terms of the frictional angle connected with μ(Eq. 11).Finally, a short discussion on the graphical construction used for the case of constant μ is given in Appendix Ⅱ.
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 3 Hits
1 Hua Lin;Zhao Zhongzhi(Wuhan Institute of Technology);Slip Line Method for Compressible Sintered Powder Materials Plane Strain and its Application[J];MATERIAL SCIENCE AND TECHNOLOGY;1994-03
3 Wang Zhi-liang (Institute of Construction Research, Ministry of Metallurgical Industry of China);A PLASTIC LIMIT EQUILIBRIUM METHOD FOR THE CALCULATION OF THE STABILITY OF A DAM ON A LAYERED ROCK[J];Acta Mechanica Sinica;1979-01
Chinese Journal Full-text Database 1 Hits
1 Шень Чжу-цзян (Нанкинский научно-исследовательский институт по гидротехнике);ТЕОРИЯ ПРЕДЛЪНОГО РАВНОВЕСИЯ СЫПУЧЕЙ СРЕДЫ И ЕЕ ПРИМЕНЕНИЕ[J];Journal of Hydraulic Engineering;1962-03
【Secondary References】
Chinese Journal Full-text Database 9 Hits
1 QIAN Bao-guo~1,WU Zhang-dun~2(1.Department of Civil Engineering, Southern Yangtze University, Wuxi jiangsu, 214122 2.School of Civil Engineering, Guxi University, Nanning, Guangxi, 510012);An Improvement on Model of Anti-sliding Stability for the Deep Dam Foundations with Weak Intercalary Strata[J];Hongshui River;2005-03
2 Wang Zhi-liang ( Central Research Institute of Building & Constraution, Ministry of Metallurgical Industry );A New Method Computing the Dam Stability According to Three Sliding Planes[J];Journal of Hydraulic Engineering;1982-05
3 Shen Wende(Kunming Institute of Hydroelectric Power Survey and Design)Shen Baokang (Wuhan Institute of Hydraulic and Electric Engineering);Stability Analysis of Concrete Dam on Rock Foundation with Weak Seams by the Limit Equilibrium Theory of Rigid-Plastic Media[J];Journal of Hydraulic Engineering;1983-05
4 HOU Hong\|liang REN Xue\|ping LIU Ya\|zheng (University of Science and Technology Beijing 100083);STRESS EQUATIONS IN AXIAL SYMMETRY DEFORMATION ON COMPRESSIBLE MATERIALS AND ITS APPLICATIONS[J];Journal of Plasticity Engineering;2001-03
5 HOU Hong-liang LI Ji-zhen LI Zhi-qiang (Beijing aeronautical manufacturing technology research institute, Beijing 100024) REN Xue-ping (University of science and technology, Beijing 100083);Experimental verification on stress equation of slip line in plane strain for compressible materials[J];Journal of Plasticity Engineering;2003-02
6 Ren XuepingHou HongliangKang Yonglin(University of Science and Technology Beijing100083)Wang Zhongren(Harbin Institute of Technology150001);TWO METHOD TO DERIVE SLIP LINE STRESS EQUATIONFOR COMPRESSIBLE MATERIALS IN PLANE STRAIN[J];JOURNAL OF PLASTICITY ENGINEERING;1999-02
7 HUA Lin 1,2 ,QIN Xun-peng 1 (1.School of Materials Science and Engineering, WUT, Wuhan 430070, China; 2.State Key Laboratory of Plastic Forming Simulation and Die & Mould Technology, HUST, Wuhan 430074, China);Research and Progress of Yield Criterion for Sintered Powder Materials[J];Journal of Wuhan University of Technology;2004-04
8 HUA Lin 1,2,QIN Xun-peng1(1.School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China;2.State Key Laboratory of Plastic Forming Simulation and Die & Mould Technology, Huazhong University of Science and Technology, Wuhan 430074, China);A Generalized Upper Bound Method for Powder Metallurgical Material in Plastic Plane Strain[J];Journal of Wuhan University of Technology;2004-12
9 HUA Lin, QIN Xun-peng (School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China);Geometrical Properties of Two Yield Criteria for Powder Metallurgical Materials[J];Journal of Wuhan University of Technology;2005-05
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved