Abstract
A newly developed Z fracture criterion for the composite materials was introduced, the new concepts of in-plane average strain, in-plane dilatational strain energy density factor and reciprocal characteristic function were presented. Many experimental results show that the Z fracture criterion can be well used to predict the crack propagating direction for mode I crack in carbon-fiber reinforced composite laminates.
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References
Sih G C.Mechanics of Fracture 1:A Special Theory of Crack Propagation[M]. Leyden: Noordhoff International Publishing, 1973, 21–45.
Sih G C. Strain energy density factor applied to mixed mode crack problems[J].International Journal of Fracture, 1974,10:305–321.
Zhang S Q, Jang B Z, Valaire B T,et al. A new criterion for composite materials miexed mode fracture analysis[J].Engineering Fracture Mechanics, 1989,34(3):749–769.
Zhang S Q, Zhu Y Z, Yang W Y. Energy basedZ-criterion in fracture analysis of composite plate under bending[J].Engineering Fracture Mechanics, 1992,43(5):797–805.
Sih G C, Liebowitz H.Fracture 2:Mathematical Theories of Brittle Fracture[M]. New York: Academic Press, 1968, 108–131.
Lekhnitskii S G.Theory of Elasticity of an Anisotropic Elastic Body[M]. HU Hai-chang transl. Beijing: Science Press, 1963, 24–27, 34–42. (Chinese version)
YANG Wei-yang, ZHANG Shao-qin. The crack tip fields of orthotropic composite plate under bending[J].Applied Mathematics and Mechanics (English Edition), 1999,20(2):205–212.
ZHANG Shao-qin, YANG Wei-yang, YAO He-sheng,et al. Discussion ofZ factor used in fracture analysis of composite plate under bending[J].Journal of Taiyuan Heavy Machinery Institute, 1999,20(3):197–202. (in Chinese)
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Communicated by WANG Yin-bang
Foundation items: the Natural Science Foundation of Shanxi Province (991063); the Oversea Scholar Foundation of Shanxi Province (200077)
Biographies: ZHANG Shao-qin (1953 ∼), Professor, Doctor
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Shao-qin, Z., Wei-yang, Y. Prediction of mode I crack propagation direction in carbon-fiber reinforced composite plate. Appl Math Mech 25, 714–722 (2004). https://doi.org/10.1007/BF02438215
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DOI: https://doi.org/10.1007/BF02438215