| Due to the fact that electrostrictive materials are brittle, it is of great significance to study thefracture behaviors of electrostrictive materials containing cracks. In this paper, it is assumed that thestrain is so small that the influence of strain on electric fields can be neglected. Based on complexvariable method, the two-dimensional problem of a circular-arc crack in an infinite electrostrictivesolid subjected to pure electric loads at infinity is investigated. Main contents in the present work areas follows: in Chapter1, the general concepts and applications of electrostriction are introduced,following by current research surveys in the field. Then, basic field equations are presented in detailsin Chapter2, which include equilibrium equations, constitutive equations, boundary conditions, stressand displacement field equations. Chapter3deals with the fracture behavior of an infiniteelectrostrictive material containing a permeable arc crack in plain strain state. Through decoupling thestress and electric field, electric and stress complex potentioals can be easily obtained, respectively. Inaddition, numerical results are graphically shown to study the influence of electric field and centralangle of crack on crack growth. Similarly, impermeable and conducting crack models are used toanalyze the two dimensional fracture problems of electrostrictive materials in Chapter4and5,respectively. Besides, numerical results are presented to show the effects of electric field and centralangle on the crack growth. In Chapter6, two-dimensional problem of a permeable interfacialcircular-arc crack embedded between a circular electrostrictive inhomogeneity and an infiniteelectrostrictive matrix subjected to remote electric loads is studied. And when the interfacial crackdegenerates into one in a single material, the obtained result is compared with that got in Chapter3.Finally, several conclusions about the present work are made and some future works proposed. |
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