# Analytical Fracture Mechanics

by David J. Unger /
1995 / English / PDF

10.3 MB Download

Fracture mechanics is 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. This book
provides detailed coverage of the subject not commonly found in
other texts.

Fracture mechanics is 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. This book
provides detailed coverage of the subject not commonly found in
other texts.Analytical Fracture Mechanics

Analytical Fracture Mechanics contains the first 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
plasticitythat 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.

contains the first 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
plasticitythat 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.
The text will be of great interest to professors, graduate
students, and other researchers of theoretical and applied
mechanics, and engineering mechanics and science.

The text will be of great interest to professors, graduate
students, and other researchers of theoretical and applied
mechanics, and engineering mechanics and science.
Key Features

Key Features
* Presents the only analytical proven solution technique amenable
to the second-order nonlinear partial differential equation
governing a mode I elastoplastic crack problem

* Presents the only analytical proven solution technique amenable
to the second-order nonlinear partial differential equation
governing a mode I elastoplastic crack problem
* Places emphasis on the near crack tip partial differential
equations governing plasticity and process zone theory in
environmental cracking phenomena

* Places emphasis on the near crack tip partial differential
equations governing plasticity and process zone theory in
environmental cracking phenomena
* Provides fundamental solutions of linear elastic fracture
mechanics

* Provides fundamental solutions of linear elastic fracture
mechanics
* Explains how transport-controlled stage II environmental crack
growth can be mapped onto the classic Stefan problem

* Explains how transport-controlled stage II environmental crack
growth can be mapped onto the classic Stefan problem
* Predicts failure curves on fracture assessment diagram for mode
III crack problem as transition occurs from plastic strip to
finite-dimensional plastic zone

* Predicts failure curves on fracture assessment diagram for mode
III crack problem as transition occurs from plastic strip to
finite-dimensional plastic zone
* Gives a summary of pertinent equations of linear elasticity and
plasticity

* Gives a summary of pertinent equations of linear elasticity and
plasticity