Assessment of the SIF, T-stress and higher-order coefficient values of the cracked specimens with two interacting cracks or notches under mixed mode loadings by digital photoelasticity method

Multi-parameter description of crack behavior in quasi-brittle materials offers still enough space for investigations. Several studies have been carried out by the authors in this field [1-3]. One part of the publications by the authors (this work included) contain analyses of the accuracy, convergence and/or tuning of the over-deterministic method that enables determination of the coefficients of the higher-order terms in Williams expansion approximating the stress and displacement fields in a cracked body without any complicated FE formulations. These intermediate studies should bring together a list of recommendations how to use the ODM as effectively as possible and obtain reliable enough values of coefficients of the higher-order terms. Thus, the stress/displacement field can be determined precisely even in a larger distance from the crack tip, which is crucial for assessment of the fracture occurring in quasi-brittle materials.

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A unified method to solve higher order asymptotic crack-tip fields of mode I, mode II and mixed mode I/II crack in power-law creeping solids

Engineering Fracture Mechanics ◽

10.1016/j.engfracmech.2019.106610 ◽

2019 ◽

Vol 218 ◽

pp. 106610 ◽

Cited By ~ 7

Author(s):

Yanwei Dai ◽

Yinghua Liu ◽

Fei Qin ◽

Yuh J. Chao

Keyword(s):

Power Law ◽

Mixed Mode ◽

Crack Tip ◽

Higher Order ◽

Mode I ◽

Mode Ii ◽

Crack Tip Fields ◽

Unified Method

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Application of Multi-Parameter Fracture Mechanics to Study of Crack Propagation Angle in Selected Mixed-Mode Geometry

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.592-593.209 ◽

2013 ◽

Vol 592-593 ◽

pp. 209-212 ◽

Cited By ~ 2

Author(s):

Lucie Šestáková Malíková ◽

Václav Veselý

Keyword(s):

Fracture Mechanics ◽

Crack Propagation ◽

Mixed Mode ◽

Initial Crack ◽

Propagation Angle ◽

Linear Elastic ◽

Higher Order Terms ◽

Elastic Fracture ◽

Cracked Specimens ◽

Crack Propagation Angle

The multi-parameter fracture mechanics becomes more and more significant, because it is shown that it can help to describe fracture processes occurring in cracked specimens more precisely than conventional linear elastic fracture mechanics. In this paper, the concept based on the Williams expansion derived for approximation of stress/displacement crack-tip fields is presented and applied on a mixed-mode configuration. Two fracture criteria for estimation of the initial crack propagation angle are introduced. A parametric study is performed in order to investigate the dependence of the crack propagation angle on the stress intensity factors ratio. Influence and importance of taking into account the so-called higher-order terms of the Williams expansion are discussed and some recommendations are stated.

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