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Computational Method of Continuous Dislocations Model

  • T. Shioya
  • K. Fujimoto
Conference paper

Summary

The computational method of applying the continuous dislocations model to deformation and fracture of solids is presented. The density of the continuous dislocations is given by the variation of the plastic deformation field or crack opening displacement. The stress field of each dislocation in a bounded body is calculated by the theory of elasticity. The total stress-strain field is obtained by solving a singular integral equation or an initial valued problem, depending on the nature of the constitutive relation of the material. The computational techniques are shown with examples in elastic-plastic problems, crack propagation problems and cracks in composites.

Keywords

Stress Field Burger Vector Crack Opening Displacement Singular Integral Equation Dynamic Crack Propagation 
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References

  1. 1.
    Bilby, B.A.; Cottrell, A.H.; Swinden, K.H.: The spread of plastic yield from a notch. Proc. Roy. Soc. London A272 (1963) 304–314.ADSGoogle Scholar
  2. 2.
    Mura, T.: Continuous distribution of moving dislocations. Phil. Mag. 8 (1963) 843–857.ADSCrossRefGoogle Scholar
  3. 3.
    Hahn, G.T.: A model for yielding with special reference to the yield point phenomena of iron and related bcc metals. Acta Met. 10 (1962) 727–738.CrossRefGoogle Scholar
  4. 4.
    Shioya, T; Shioiri, J.: Elastic-plastic analysis of the yield process in mild steel. J. Mech. & Phys. Solids 24 (1976) 187–204.ADSCrossRefGoogle Scholar
  5. 5.
    Shioya, T.; Machida, T.: Yield process of mild steel in plane problems. Int. J. Solids & Structures 20 (1984) 953–961.CrossRefGoogle Scholar
  6. 6.
    Weertman, J.: High velocity dislocations, in Shewmon, P.G.; Zackay, V.F. (eds.) Response of metals to high velocity deformation. NewYork, London: Interscience Publishers 1961 205–247.Google Scholar
  7. 7.
    Fujimoto, K.; Shioya, T.: Elastic analysis of dynamic crack propagation in fixed sided plates. Proc. 28th Japan Cong. Materials Research 1985 49–58.Google Scholar
  8. 8.
    Toh, T.: Master Thesis, Department of Aeronautics, Faculty of Engineering, University of Tokyo 1983.Google Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • T. Shioya
    • 1
  • K. Fujimoto
    • 2
  1. 1.Department of AeronauticsUniversity of TokyoBunkyo-ku, Tokyo, 113Japan
  2. 2.Department of EngineeringTokyo Gakugei UniversityKoganei, Tokyo, 184Japan

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