Zhenkun Lei, Hai Yun. Theoretical analysis of T-stress effects on photoelastic fringe patterns in cracks[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 482-490. DOI: 10.6052/0459-1879-2010-3-2008-565
Citation:
Zhenkun Lei, Hai Yun. Theoretical analysis of T-stress effects on photoelastic fringe patterns in cracks[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 482-490. DOI: 10.6052/0459-1879-2010-3-2008-565
Zhenkun Lei, Hai Yun. Theoretical analysis of T-stress effects on photoelastic fringe patterns in cracks[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 482-490. DOI: 10.6052/0459-1879-2010-3-2008-565
Citation:
Zhenkun Lei, Hai Yun. Theoretical analysis of T-stress effects on photoelastic fringe patterns in cracks[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 482-490. DOI: 10.6052/0459-1879-2010-3-2008-565
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, ChinaSchool of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China
Based on the multi-parameter mathematic model of theelastic stress field near a crack-tip, the influences of the stressintensity factors K_{\rm I}, K_{\rm II}, and T-stress on thephotoelastic isochromaticand isoclinic fringe patterns are presented for the mode I, mode II andmixed mode I/II crack, respectively. It is confirmed that T-stressinfluences the radius and rotate direction of the isochromatic fringe loops.The rotated angle of the loop only relates to the T-stress for the mode I orII crack, while to the intensity factors K_{\rm I}, K_{\rm II}, and T-stress for themixed mode I/II crack. There are two isotropic points along ±π/3directions in the mode I crack under positive T-stress, while none ofisotropic point under the negative T-stress. For the mode II crack only oneisotropic point appears behind the crack-tip under T-stress. For the mixedI/II crack, three isotropic points with different radius appear at thecorresponding positions under the positive T-stress, however, one pointexists behind the crack-tip for the negative T-stress. Thses isotropic pointsfor the mixed I/II crack comply with rules in the mode I and mode II,respectively.