Crack-tip fields for fast fracture of an elastic-plastic material |
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| Authors: | JD Achenbach MF Kanninen CH Popelar |
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| Institution: | Department of Civil Engineering, Northwestern University, Evanston, IL 60201, U.S.A.;Applied Solid Mechanics Section, Battelle''s Columbus Laboratories, 505 King Avenue, Columbus, OH 43201, U.S.A.;Engineering Mechanics Department, The Ohio State University, Columbus, OH 43210, U.S.A. |
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| Abstract: | An asymptotic analysis of the near-tip fields is given for transient crack propagation in an elastic-plastic material. The material is characterized by J2 flow theory together with a bilinear effective stress-strain curve. Both plane stress and plane strain conditions have been considered. Explicit results are given for the order of the crack-tip singularity, the angular position at which unloading occurs, and the angular variation of the near-tip stresses, all as functions of the crack-tip speed and the ratio of the slopes of the two portions of the bilinear stress-strain relation. It was found that the results are much more sensitive to the elastic-plastic constitutive relation than to the crack speed. This result is important for numerical analyses of dynamic crack propagation problems. |
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