Self-contained treatment supplements standard texts by focusing on analytical methods for determining crack-tip stress and strain fields. Topics include solution technique for second-order nonlinear partial differential equation governing a mode I elastoplastic crack problem, plastic zone transitions, environmental cracking, and small-scale yielding versus exact linear elastic solutions. "Recommended." ?Applied Mechanics Review.

Equations of continuum mechanics

equations of elasticity

equations of plasticity

plane problems of elasticity theory

linear elastic fracture mechanics

strip models of crack tip plasticity

exact elastoplastic solutions for mode III

plane stran problems involving plastic material

plane stress involving plastic material

numerical solutions of the mode I elastoplastic problem

miscellaneous mathematical topics; on the continuance of an analytical solution across the elastic-plastic boundary of a mode I fracture mechanics problem

plastic zone transitions; environmental cracking

small-scale yielding versus exact linear elastic solutions

elastic-plastic loci as predicted by linear elastic fracture mechanics

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