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research-article

Quasi-static cracks under symmetrical loads in hydraulic fracturing

[+] Author and Article Information
Wenhao Shen

State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaSchool of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China
shenwenhao@imech.ac.cn

Ya-Pu Zhao

State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaSchool of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China
yzhao@imech.ac.cn

1Corresponding author.

ASME doi:10.1115/1.4036988 History: Received March 12, 2017; Revised June 04, 2017

Abstract

Symmetrical load on the crack surfaces is found in many fluid-solid problems. The combined effect of symmetrical normal and shear stresses is investigated, which impacts on the displacement and stress fields and the predictions of crack initiation and deflection. The boundary integral equations of displacement and stress fields are formulated using the integral-transform method. The equations of the displacement and stress are reduced using the Abel integral equations. The analytical solution of the full space for uniform normal and shear stresses is obtained. The asymptotic solution of the displacement of the crack surface is obtained near the crack tip under specific normal and shear stresses. Results show that shear stress tends to inhibit the crack, and the predictions of crack initiation and deflection could be inappropriate for a slit crack under a singular shear stress. This study may be useful for future investigations of the fluid-solid problems and help to understand the hydraulic fracturing.

Copyright (c) 2017 by ASME
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