# Effect of a Micro-crack on the Edge Macro-crack Propagation Rate and Path Under Mixed Loads

Effect of a Micro-crack on the Edge Macro-crack Propagation Rate and Path Under Mixed Loads Abstract The solution of a half-plane containing a micro-crack and an edge macro-crack under mixed loads is presented based on the distributed dislocation technique. The complete stress field and stress intensity factors are obtained. The finite element model is established to simulate the macro-crack propagation path. The effect of a micro-crack on the macro-crack propagation is analyzed comprehensively. The results show that the shielding effect region is like two ‘petals’ under uniaxial tensile load and rotates with the change in micro-crack angle. For mixed loads, the shielding effect region rotates clockwise with the increasing ratio of applied loads $$\tau ^{\infty }/\sigma ^{\infty }$$. It is like two ‘petals’ at $$\tau ^{\infty }/\sigma ^{\infty }\le 2$$ and divides into two parts from the macro-crack tip at $$\tau ^{\infty }/\sigma ^{\infty }\ge 5$$. The micro-crack has the attraction effect on the macro-crack propagation path. These results are useful for predicting the fracture or fatigue behaviors of materials containing micro-cracks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

# Effect of a Micro-crack on the Edge Macro-crack Propagation Rate and Path Under Mixed Loads

, Volume 32 (4): 16 – Aug 1, 2019
16 pages

/lp/springer-journals/effect-of-a-micro-crack-on-the-edge-macro-crack-propagation-rate-and-WKdOM0GtsP
Publisher
Springer Journals
2019 The Chinese Society of Theoretical and Applied Mechanics
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-019-00099-2
Publisher site
See Article on Publisher Site

### Abstract

Abstract The solution of a half-plane containing a micro-crack and an edge macro-crack under mixed loads is presented based on the distributed dislocation technique. The complete stress field and stress intensity factors are obtained. The finite element model is established to simulate the macro-crack propagation path. The effect of a micro-crack on the macro-crack propagation is analyzed comprehensively. The results show that the shielding effect region is like two ‘petals’ under uniaxial tensile load and rotates with the change in micro-crack angle. For mixed loads, the shielding effect region rotates clockwise with the increasing ratio of applied loads $$\tau ^{\infty }/\sigma ^{\infty }$$. It is like two ‘petals’ at $$\tau ^{\infty }/\sigma ^{\infty }\le 2$$ and divides into two parts from the macro-crack tip at $$\tau ^{\infty }/\sigma ^{\infty }\ge 5$$. The micro-crack has the attraction effect on the macro-crack propagation path. These results are useful for predicting the fracture or fatigue behaviors of materials containing micro-cracks.

### Journal

"Acta Mechanica Solida Sinica"Springer Journals

Published: Aug 1, 2019

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics