Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect

• Published in: Applied mathematics and mechanics Vol. 41; no. 6; pp. 899 - 908
• Main Authors: Li, Lianhe, Cui, Xiaowei, Guo, Junhong
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01-06-2020; Springer Nature B.V; College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China%Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China
• Edition: English ed.
• Subjects: Applications of Mathematics; Asymmetry; Classical Mechanics; Cracks; Fluid- and Aerodynamics; Image force; Material properties; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Piezoelectricity; Quasicrystals; Screw dislocations; Stress distribution; stress field; conformal mapping; one-dimensional (1D) hexagonal quasicrystal with piezoelectric effect; screw dislocation; 74C20; O344.3; elliptical hole
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-020-2615-6

The interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional (1D) hexagonal quasicrystal with piezoelectric effect is considered. A general formula of the generalized stress field, the field intensity factor, and the image force is derived, and the special cases are discussed. Several numerical examples are given to show the effects of the material properties and the dislocation position on the field intensity factors and the image forces.