Analytical Fracture Mechanics

Analytical Fracture Mechanics

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This text provides coverage of fracture mechanics, an interdisciplinary subject that predicts the conditions under which materials fail due to crack growth. It spans several fields of interest including: mechanical, civil, and materials engineering, applied mathematics and physics. The book contains analytical continuation of both stress and displacement across a finite-dimensional, elastic-plastic boundary of a mode I crack problem. The book provides a transition model of crack tip plasticity that has important implications regarding failure bounds for the mode III fracture assessment diagram. It also presents an analytical solution to a true moving boundary value problem for environmentally assisted crack growth and a decohesion model of hydrogen embrittlement that exhibits all three stages of steady-state crack propagation.
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Product details

  • Hardback | 320 pages
  • 157 x 236 x 22mm | 604g
  • Academic Press Inc
  • San Diego, United States
  • English
  • references, index
  • 0127091203
  • 9780127091204

Table of contents

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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