Two general integrals of singular crack tip deformation fields

• Budiansky, B. and J.R.Rice: Conservation laws and energy release rates. Journal of Applied Mechanics 40 (1973) 201–203.

  Google Scholar 

• Cherepanov, G.P.: Crack propagation in continuous media. Journal of Applied Mathematics and Mechanics (translation of PMM), 31 (1967) 476–488.

  Google Scholar 

• Eshelby, J.D.: The continuum theory of lattice defects. In: F. Seitz and D. Turnbull (eds) Progress in Solid State Physics, Vol. 3. Academic Press, New York (1956).

  Google Scholar 

• Eshelby, J. D.: Energy relations and the energy-momentum tensor in continuum mechanics. In M.F.Kanninen et al. (eds) Inelastic Behavior of Solids, McGraw-Hill, New York (1970) pp. 77–115.

  Google Scholar 

• Fowler, G.F.: Finite plane and anti-plane elastostatic fields with discontinuous deformation gradients near the tip of a crack. Journal of Elasticity 14 (1984) 287–328.

  Google Scholar 

• Hutchinson, J.W.: Singular behavior at the end of a tensile crack in a hardening material. Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.

  Google Scholar 

• Knowles, J.K.: The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. International Journal of Fracture 13 (1977) 611–639.

  Google Scholar 

• Knowles, J.K. and E.Sternberg: An asymptotic finite deformation analysis of the elastostatic field near the tip of a crack. Journal of Elasticity 3 (1973) 67.

  Google Scholar 

• Knowles, J.K. and E.Sternberg: Anti-plane shear fields with discontinuous gradients near the tip of a crack in finite elastostatics. Journal of Elasticity 11 (1981) 129–164.

  Google Scholar 

• Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, New Jersey (1969).

  Google Scholar 

• Rice, J.R.: Stresses due to a sharp notch in a work-hardening elastic-plastic material loaded in longitudinal shear. Journal of Applied Mechanics 34 (1967a) 287–298.

  Google Scholar 

• Rice, J.R.: The mechanics of crack tip deformation and extension by fatigue. In: Fatigue Crack Growth, Special Technical Publication 415. American Society for Testing and Materials, Philadelphia (1967b) pp. 247–311.

  Google Scholar 

• Rice, J.R.: Mathematical analysis in the mechanics of fracture. In H.Liebowitz (ed.) Fracture: An Advanced Treatise, Vol. 2. Academic Press, New York (1968a) pp. 191–311.

  Google Scholar 

• Rice, J.R.: A path-independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics 35 (1968b) 379–386.

  Google Scholar 

• Rice, J.R.: On the theory of perfectly plastic anti-plane straining. Mechanics of Materials 3 (1984) 55–80.

  Google Scholar 

• Rice, J. R. and D.C.Drucker: Energy changes in stressed bodies due to void and crack growth. International Journal of Fracture Mechanics 3 (1967) 19–27.

  Google Scholar 

• Rice, J.R. and R.Nikolic: Anti-plane shear cracks in ideally plastic crystals. Journal of the Mechanics and Physics of Solids 33 (1985) 595–622.

  Google Scholar 

• Rice, J.R. and G.F.Rosengren: Plane strain deformationear a crack in a power-law hardening material. Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.

  Google Scholar 

• Shih, C.F.: Small scale yielding analysis of mixed mode plane-strain crack problems. In: Fracture Analysis, Special Technical Publication 560. American Society for Testing and Materials, Philadelphia (1974) pp. 187–210.

  Google Scholar 

• Stephenson, R.A.: The equilibrium field near the tip of a crack for finite plane strain of incompressible elastic materials. Journal of Elasticity 12 (1982) 65–99.

  Google Scholar 

• Wong, F.S. and R.T.Shield: Large plane deformations of thin elastic sheets of neo-Hookian material. Zeitschrift für angewandte Mathematick und Physik 20 (1969) 176.

  Google Scholar 

Download references