The interaction between a screw dislocation and an oblique edge crack in a semi-infinite piezoelectric medium under remote anti-plane mechanical and in-plane electrical loadings is studied in this article. The screw dislocation suffers a finite discontinuity in the displacement and electric potential across the slip plane. The dislocation also has a line force and a line charge along its core. In the framework of linear piezoelectricity theory, the analytical solutions are derived from the complex variable and Schwarz–Christoffel transformation. Furthermore, the electric field, stress field, generalized stress intensity factor, image force and crack extension force are formulated exactly. Numerical calculations are then given graphically for studying the effects of crack length, crack angle and load position on these electric mechanical parameters. Besides, the dislocation solutions proposed here can be served as Green’s functions for the analyses of corresponding piezoelectric cracking or distributed loading problems.
Screw dislocation Concentrated force Piezoelectric Oblique edge crack
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This research is supported by the Ministry of Science and Technology of ROC under the contract number: MOST 103-2221-E-252-003.
Kattis MA, Providas E, Kalamkarov AL (1998) Two-phase potentials in the analysis of smart composites having piezoelectric components. Compos Part B Eng 29:9–14CrossRefGoogle Scholar
Meguid SA, Deng W (1998) Electro-elastic interaction between a screw dislocation and elliptical inhomogeneity in piezoelectric materials. Int J Solids Struct 35:1467–1482CrossRefMATHGoogle Scholar
Lee KY, Lee WG, Pak YE (2000) Interaction between a semi-infinite crack and a screw dislocation in a piezoelectric material. J Appl Mech 67:165–170CrossRefMATHGoogle Scholar
Liu YW, Fang QH, Jiang CP (2004) A piezoelectric screw dislocation interacting with an interphase layer between a circular inclusion and the matrix. Int J Solids Struc 41:3255–3274CrossRefMATHGoogle Scholar
Jin B, Fang QH (2008) Piezoelectric screw dislocations interacting with an inhomogeneity with imperfect interface. Arch Appl Mech 78:105–116CrossRefMATHGoogle Scholar
Shen MH, Chen SN, Lin CP (2012) A piezoelectric screw dislocation interacting with a half-plane trimaterial composite. Meccanica 43:1923–1933CrossRefMATHGoogle Scholar
Shen MH, Chen SN, Lin CP (2012) The interaction between a screw dislocation and a piezoelectric fiber composite with a wedge crack. Arch Appl Mech 82:215–227CrossRefMATHGoogle Scholar
Choi SR, Shin JK (2012) Three collinear interfacial cracks in dissimilar piezoelectric materials. Int J Fract 179:L237–L244CrossRefGoogle Scholar
Craciun EM, Baesu E, Soόs E (2005) General solution in terms of complex potentials for incremental antiplane states in prestressed and prepolarized piezoelectric crystals. IMA J Appl Math 70:39–52MathSciNetCrossRefMATHGoogle Scholar
Baesu E, Fortuné D, Soόs E (2003) Incremental behaviour of hyperelastic dielectrics and piezoelectric crystals. J Appl Math Phys (ZAMP) 54:160–178MathSciNetCrossRefMATHGoogle Scholar
Guo JH, Lu ZX, Han HT, Yang Z (2010) The behavior of two non-symmetrical permeable cracks emanating from an elliptical hole in a piezoelectric solid. Eur J Mech A/Solids 29:654–663CrossRefGoogle Scholar
Guo JH, Lu ZX, Feng X (2010) The fracture behavior of multiple cracks emanating from a circular hole in piezoelectric materials. Acta Mech 215:119–134CrossRefMATHGoogle Scholar
Li XF, Fan TY (2001) Mode-III interface edge crack between bonded quarter-planes of dissimilar piezoelectric materials. Arch Appl Mech 71:703–714CrossRefMATHGoogle Scholar
Li XF, Tang GJ (2002) Anti-plane permeable edge cracks in a piezoelectric strip of finite width. Int J Fract 115:L35–L40CrossRefGoogle Scholar
Wu XF, Dzenis YA, Zou WS (2002) Screw dislocation interacting with an interfacial edge crack between two bonded dissimilar piezoelectric wedges. Int J Fract 117:L9–L14CrossRefGoogle Scholar
Wu XF, Dzenis YA, Fan TY (2003) Screw dislocation interacting with twin interfacial edge cracks between two bonded dissimilar piezoelectric strips. Mech Res Commu 30:547–555CrossRefMATHGoogle Scholar
Guo JH, Lu ZX, Han HT, Yang Z (2009) Exact solutions for anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole in a piezoelectric material. Int J Solids Struc 46:3799–3809CrossRefMATHGoogle Scholar