Deterministic fracture kinetics theory and constitutive laws

  • A. S. Krausz
  • K. Krausz
Chapter
Part of the Mechanical Behavior of Materials book series (MBOM, volume 1)

Abstract

Subcriticai crack growth is usually more complex than a sequence of single bond-breaking steps. All mechanisms consist of various processes; and these processes may include diverse steps, each represented by the appropriate expression of the elementary rate constant [1, 3, 4]7*:
$$ {{k}_{i}} = \frac{{kT}}{h}\exp \left( { - \frac{{\Delta G_{i}^{ \ne }\pm {{W}_{i}}}}{{kT}}} \right). $$
(2.1)
Obviously, to control crack growth one must first determine the specific combination of steps that compose the mechanism of fracture, and describe these steps in terms of the appropriate rate constants. Fracture kinetics provides the method to achieve this, through the derivation of the constitutive equation that expresses the complex mechanism of crack growth.

Keywords

Stress Intensity Factor Constitutive Equation Crack Growth Rate Crack Front Crack Velocity 
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Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • A. S. Krausz
    • 1
  • K. Krausz
    • 1
  1. 1.University of OttawaCanada

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