STRESS CONCENTRATION AND STRESS INTENSITY FACTORS FOP AN INFINITE PLANE WITH SEVERAL ROWS OF ELLIPTIC HOLES AND CRACKS

摘要/Abstract

摘要： This paper deals with the stress concentration in plane with swveral arbitrarily distributed elliptic holes. By using the functions of complex variables, the stress functions in which the interactions of neighbouring holes are taken into consideration can be constructed. By applying the conformed mapping method to satisfy the boundary conditions of each hole, the governing equations can then be transformed into a set of simultaneous equations through boundary integrals. Moreover, the problems with crack can be derived by changing the elliptical rates of the ellipses, thereby an approximate solution of cracking problem may be obtained.Some computing examples are given in the paper.

关键词: two-phase flow, cylinder particle, channel flow, turbulent property

Abstract: This paper deals with the stress concentration in plane with swveral arbitrarily distributed elliptic holes. By using the functions of complex variables, the stress functions in which the interactions of neighbouring holes are taken into consideration can be constructed. By applying the conformed mapping method to satisfy the boundary conditions of each hole, the governing equations can then be transformed into a set of simultaneous equations through boundary integrals. Moreover, the problems with crack can be derived by changing the elliptical rates of the ellipses, thereby an approximate solution of cracking problem may be obtained.Some computing examples are given in the paper.

Key words: two-phase flow, cylinder particle, channel flow, turbulent property

周承芳;关长文. STRESS CONCENTRATION AND STRESS INTENSITY FACTORS FOP AN INFINITE PLANE WITH SEVERAL ROWS OF ELLIPTIC HOLES AND CRACKS[J]. Applied Mathematics and Mechanics (English Edition), 1983, 4(6): 885-897.

Zhou Cheng-fan;Guan Chang-wen. STRESS CONCENTRATION AND STRESS INTENSITY FACTORS FOP AN INFINITE PLANE WITH SEVERAL ROWS OF ELLIPTIC HOLES AND CRACKS[J]. Applied Mathematics and Mechanics (English Edition), 1983, 4(6): 885-897.

参考文献

[1] Ling,C.B.,On the stress in a plate containing two holes,J.Appl.Phy.19(Jan.1948),77-81.
[2] Schulz,K.J.,Proc.Nederl Akad.Von Welerscheppen Vol.45,(1942),p233,457,524,Vol.48,(1945),282,292. .
[3] The Several Fundamental Problems in Mathematics and Elastic Mechanics,(Chinese version tr.by Zhao Hui-yuan,Science Press,(1958).
[4] Stress concentration near a hole,(Chinese version tr.by Lu Dinghuo),Science Press,(1958). .
[5] Tang Li-min,Analysis of stress concentration for several adjacent circle holes on elastical plate,Scientific Record,(1959.10). .
[6] Chen Lin-si,On the problem of stress concentrations in the presence of many holes,Problems of Continuum Mechanics,(1961). .
[7] Tang Li-min and Zhou Cheng-ti,The problem of stress concentrations for hole of near verge,Journal of Dalian Institute of Technology,No.6,(1959).(in Chinese) .
[8] Sun Huan-cuen,Stress concentration of an infinite strip weakened by hole of arbitrary shape,(not published),(1961). .
[9] Sun Huan-cuen,Stress concentration of a infinite plate weaken by two circle holes with different radii,Journal of Dalian Institute of Technology,No.1,(1960).(in Chinese) .
[10] Tang Li-min and Zhou Cheng-ti,The problem of stress concentrations for noncircle hole.Journal of Dalian Institute of Technology,‘No.6,(1959).(in Chinese) .
[11] Zhou Cheng-ti and Hu Yi-hiang,Analysis of Fracture Mechanics for the Spheroidal Graphite Cast Iron,Institute of Engng.Mech.,Dalian Institute of Technology,(1979).(in Chinese) .
[12] Panasyuk,V.V.,A General Method of Solution of Two-Dimensional Problems in the Theory of Crack,J.of Engineering Fracture Mechanics,Vol.9,No.2,(1977).
[13] Engineering Fracture Mechanics,Academy of Beijing Steel and Iron,National Defence Industry Publishing House,(1977),53,(in Chinese) .
[14] Rooke,D.P.and P.J.Cartwright,Compendium of stress intensity factors,(1976),167. .
[15] Guan Chang-wen,The analysis of stress field in multi-holes continuum,Postgraduation Thesis of Academy of Engineering Mechanics,(1980).(in Chinese) .
[16] Isida,M.,Mechanics of Fracture,Vol.1,(1973).