RICE A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
نویسنده
چکیده
A line integral is exhibited which has the same value for all paths surrounding the tip of a notch in the two-dimensional strain field of an elastic or deformation-type elastic-plastic material. Appropriate integration path' choices serye bOlh to relate Ihe integral to the near tip deformatiot~s and, in many cases. to permit its direct e:tlalutllion. This (l.t'eraged measure of the near tip field leads to approximate solutions for several strain-collcen/rel-tion problems. Contained perfectly plastic deformation near a crack tip is analy:.ed for tile plane-strain case with the aid of the slip-line theory. Near tip stresses are shown to be significantly elet1ated by hydrostatic tension. and a strain singularity results varying ;Ilt/erseiy u,ith distance from the tip ilt centered fan above and below the tip. A pproximate estimates are given for the strain intensity~ plastic zone size. and crack tip opening displacement, and the important role of large geometry changes in crack blunli1Jg is noted. A nother application leads to a general solution for crack tip separations in the Barenblatt-Dugdale crack model. A proof follows on the equivalence Ike Grijfil.k energy balance and cohesive force theories of elastic brittle fracture, and lu!jrdent1it9 behavior is included in a model for plane"stress A final application fo approximate estimates of sHain (;Oncentrations at smooth-ended notch tips in elastic and elastic-plastic materials.
منابع مشابه
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
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