Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 96, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.euromechsol.2022.104704
Keywords
Pre-stress; Orthotropic material; Multiple cracks; Stress intense factor; Pseudo-traction method; Complex potential method; Pre-stress; Orthotropic material; Multiple cracks; Stress intense factor; Pseudo-traction method; Complex potential method
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Funding
- National Natural Science Foundation of China [11672336, 12072374]
- Natural Science Foundation of Hunan Province, China [2020JJ4106]
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This paper presents a theoretical analysis of the interaction of multiple parallel cracks in a pre-stressed orthotropic elastic material. The pseudo-traction method and complex potential method are applied to solve the problem. The results show that the pre-stress has little influence on the stress intensity factors when two cracks are collinear or far away from each other, but it affects the stress intensity factors for closer cracks under different loading conditions.
Pre-stressed structures have been widely applied in aerospace, deep mining, and civil engineering fields. This paper presents a theoretical analysis of the interaction of multiple parallel cracks in a pre-stressed orthotropic elastic material. The pseudo-traction method and complex potential method are applied to solve an associated mixed boundary-value problem. First, we derive two kinds of fundamental solutions for a pair of normal and tangential concentrated forces acting at any point on an isolated crack. Then, with these solutions, a system of Fredholm integral equations are derived by superposition. The interaction of multiple parallel cracks in a pre-stressed orthotropic elastic plane is analyzed. Numerical results show that the pre-stress has little influence on the stress intensity factors when two cracks are collinear or two cracks are far away from each other (D-h > 2a or D-v > 5a). For closer two parallel cracks, K-I decreases with increasing pre-stress sigma(0) under normal loading and K-II increases with increasing pre-stress sigma(0) under shear loading.
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