A diffusion model for fatigue crack growth

1979 ◽  
Vol 367 (1728) ◽  
pp. 47-58 ◽  
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Diffusion Equation ◽  
Stochastic Model ◽  
Crack Growth ◽  
Diffusion Model ◽  
Critical Size ◽  
Transition Density ◽  
Transition Density Function ◽  
Drift Parameter

A stochastic model is proposed for the propagation of a fatigue crack. It is shown that fatigue crack growth can be described by a transition density function, and that the probability of a fatigue crack reaching a critical size can be determined by solving the diffusion equation. The commonly used rate of crack growth, d a /d N , appears in the diffusion model as the drift parameter.

EFFECT OF LOAD RANGE ON PROBABILISTIC FATIGUE CRACK GROWTH RESISTANCE IN FLUX CORED ARC WELDED API 2W GR. 50 STEEL

2012 ◽  
Vol 06 ◽  
pp. 263-268
Author(s):  
SEON-JIN KIM ◽  
SANG-HOON SOHN ◽  
HYE-JEONG SOHN
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Stochastic Model ◽  
Spatial Variation ◽  
Crack Growth ◽  
Reliability Theory ◽  
Crack Growth Resistance ◽  
Load Range ◽  
Fatigue Crack Growth Resistance ◽  
Astm Standard

The aim of this paper is to investigate the effects of the load range on the spatial variation of fatigue crack growth resistance in three different zones, WM, HAZ and BM for flux cored arc welded API 2W Gr. 50 steel using the stochastic model based on reliability theory. Experimental fatigue crack growth tests were performed on ASTM standard CT specimens. The results indicates that the load range has strong dependency on probabilistic fatigue crack growth for the three different zones WM, HAZ and BM, and also the spatial variation of fatigue crack growth resistance.

A discrete dislocation analysis of fatigue crack growth

2001 ◽  
Vol 11 (PR5) ◽  
pp. Pr5-69-Pr5-75
Author(s):  
V. S. Deshpande ◽  
H. H.M. Cleveringa ◽  
E. Van der Giessen ◽  
A. Needleman
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Discrete Dislocation

Fatigue Investigation of Elastomeric Structures

2010 ◽  
Vol 38 (3) ◽  
pp. 194-212 ◽  
Author(s):  
Bastian Näser ◽  
Michael Kaliske ◽  
Will V. Mars
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Material Behavior ◽  
Period Effect ◽  
Numerical Representation ◽  
Material Force ◽  
Strain Behavior ◽  
Dissipative Effects ◽  
Elastomeric Materials

Abstract Fatigue crack growth can occur in elastomeric structures whenever cyclic loading is applied. In order to design robust products, sensitivity to fatigue crack growth must be investigated and minimized. The task has two basic components: (1) to define the material behavior through measurements showing how the crack growth rate depends on conditions that drive the crack, and (2) to compute the conditions experienced by the crack. Important features relevant to the analysis of structures include time-dependent aspects of rubber’s stress-strain behavior (as recently demonstrated via the dwell period effect observed by Harbour et al.), and strain induced crystallization. For the numerical representation, classical fracture mechanical concepts are reviewed and the novel material force approach is introduced. With the material force approach at hand, even dissipative effects of elastomeric materials can be investigated. These complex properties of fatigue crack behavior are illustrated in the context of tire durability simulations as an important field of application.

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