Dynamic and static analysis for two semi-infinite cracks in finite magnetoelectroelastic strip

被引：0

作者：

Guo, Huaimin ^{[1
]}

Zhao, Guozhong ^{[1
]}

机构：

[1] Mathematic Science College, Baotou Teachers College, Baotou

来源：

Fuhe Cailiao Xuebao/Acta Materiae Compositae Sinica | 2015年 / 32卷 / 03期

关键词：

Complex function method; Magnetoelectroelastic composites; Mechanical strain energy release rate; Movement cracks; Stress intensity factors;

D O I：

10.13801/j.cnki.fhclxb.20150303.001

中图分类号：

学科分类号：

摘要：

The crack in strip is often used in fracture mechanics as research model. There is a magnetoelectroelastic elastomer which contains infinite collinear cracks, when crack surface on the left side near crack tip is under the electromagnetic force load and anti-plane shear stress along the crack surface, elastomer tends to produce dynamic fracture. By using arch transform formula of complex variable function method, the analytic solutions of the dynamic stress intensity factors and the mechanical strain energy release rate were presented with the boundary conditions that the surface of the crack was electrically and magnetically impermeable. When the movement velocity tends to zero, the analytic solutions is degraded to stationary state solution. Through numerical example, the fracture mechanism was analyzed, the influence of the geometry size of strip and crack, external force, electric field and magnetic field on energy release rate respectively under static state were discussed to help the design and manufacture of related devices. ©, 2015, Beijing University of Aeronautics and Astronautics (BUAA). All right reserved.

引用

页码：888 / 895

页数：7

共 17 条

[1]

Van Suchtelen J., Product properties: A new application of composite materials, Philips Research Reports, 27, 1, pp. 28-37, (1972)

[2]

Hou P.F., Leung A.Y.T., A spheroidal inclusion in an infinite magneto-electro-elastic material, International Journal of Engineering Science, 42, 11-12, pp. 1255-1273, (2004)

[3]

Wang X., Shen Y.P., Inclusions of arbitrary shape in magnetoelectroelastic composite materials, International Journal of Engineering Science, 41, 1, pp. 85-102, (2003)

[4]

Liu J.X., Liu X.L., Zhao Y.B., Green's function for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack, International Journal of Engineering Science, 39, pp. 1405-1418, (2001)

[5]

Wang B.L., Mai Y.W., Fracture of piezoelec-tromagnetic materials, Mechanics Research Communication, 31, 1, pp. 65-73, (2004)

[6]

Zhang Z.K., Soh A.K., Micromechanics preditions of the effective moduli of magnctoelectroelastic composite materials, European Journal of Mechanics-A/Solids, 24, pp. 1054-1067, (2005)

[7]

Soh A.K., Liu J.X., Mode III interfacial edge crack in a magnetoelectroelectroelastic biomaterial, Key Engineering Materials, 261-263, pp. 393-398, (2004)

[8]

Guo J.H., Lu Z.X., Siri G.L., Field intensity factors of a model-III semi-infinite crack in amagnetoelectroelastic strip, Acta Materiae Compositae Sinica, 30, 4, pp. 136-143, (2013)

[9]

Hu K.Q., Zhong Z., A moving mode-III crack in a functionally graded piezoelectric strip, International Journal of Mechanics and Materials in Design, 2, 1-2, pp. 61-79, (2005)

[10]

Yan Z., Jiang L.Y., Study of a propagating finite crack in functionally graded piezoelectric materials considering dielectric medium effect, International Journal of Solids and Structures, 46, 6, pp. 1362-1372, (2009)

← 1 2 →