Development of higher-order displacement discontinuity method to simulate fatigue crack growth in brittle materials

2021 ◽  
pp. 108087
Author(s):  
Rezvan Alizadeh ◽  
Mohammad Fatehi Marji ◽  
Abolfazl Abdollahipour ◽  
Mehdi Pourghasemi Sagand
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Brittle Materials ◽  
Higher Order ◽  
Displacement Discontinuity ◽  
Displacement Discontinuity Method

scholarly journals A Discrete Element Model for Damage and Fatigue Crack Growth of Quasi-Brittle Materials

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Xiaofeng Gao ◽  
Georg Koval ◽  
Cyrille Chazallon
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Damage Model ◽  
Brittle Materials ◽  
Element Model ◽  
Discrete Element ◽  
Discrete Element Model ◽  
Single Model ◽  
Stress Intensity Range

The repeatedly applied low-intensity loads would lead to the damage and fatigue crack growth of mechanical structures made of quasi-brittle materials. In numerical modelling, these two mechanisms are normally treated differently and separately; the damage is usually associated with nonlocal approaches, while the fatigue crack growth is related to the local stress intensity range at the crack tip. In this study, a discrete element model for damage and fatigue crack growth of quasi-brittle materials is proposed, which is able to model the damage and fatigue crack growth simultaneously in one single model. The proposed model achieves the implementation of a continuum damage model in a discrete element code, which is a helpful enrichment of this numerical method. The evaluation method of the stress intensity range during the damage evolution provides a way to couple both failure mechanisms. This feature allows crack initiation to be induced by localized damage and a progressive transition to a fracture behaviour with the crack propagation. Independent parameters for the fatigue damage model and fatigue crack growth model are admitted without any previous calibration. The numerical results are in good agreement with the theoretical predictions of damage and fracture mechanics, and intact and precracked samples are analysed under fatigue loading to show the consistent coexistence of fractured and damaged zones in a single model.

Fatigue Growth Analysis of an Inclined Crack Under Uniaxial Cyclic Loading in Materials With Different Yield Strengths in Tension and Compression

1994 ◽  
Vol 116 (2) ◽  
pp. 181-186 ◽  
Author(s):  
Xiangqiao Yan ◽  
Weisheng Lei
Keyword(s):  
Fatigue Crack ◽  
Cyclic Loading ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Mixed Mode ◽  
Strain Energy ◽  
Growth Analysis ◽  
Displacement Discontinuity ◽  
Inclined Crack ◽  
Tension And Compression

In the present paper, an improved strain-energy-density criterion presented recently for the commonly used fracture criterion, the minimum strain-energy-density criterion, is extended to the case of cyclic loading to predict mixed-mode fatigue crack growth in materials with different yield strengths in tension and compression. The analysis of the mixed-mode fatigue crack growth process is very complex. For the purpose of more precisely predicting the mixed mode fatigue crack growth process, we developed a numerical scheme in which the improved fatigue crack growth criterion is combined with the displacement discontinuity method, a boundary element method. In the fatigue crack growth analysis of an inclined crack under uniaxial cyclic loading, the stress intensity factors for each increment of the crack growth are calculated by means of the displacement discontinuity method. Fatigue growth analysis of an inclined crack under uniaxial cyclic loading in materials with different yield strengths in tension and compression is carried out.

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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