Pak, Y. Eugene Crack extension force in a piezoelectric material. (English) Zbl 0724.73191 J. Appl. Mech. 57, No. 3, 647-653 (1990). Summary: A conservation law that leads to a path-independent integral of fracture mechanics is derived along with the governing equations and boundary conditions for linear piezoelectric materials. A closed-form solution to the antiplane fracture problem is obtained for an unbounded piezoelectric medium. The path-independent integral is evaluated at the crack tip to obtain the energy release rate for a mode III fracture problem. For a fixed value of the mechanical load, it is shown that the crack growth can be either enhanced or retarded dependent on the magnitude, the direction, and the type of the applied electrical load. It is also shown that, for certain ratios of the applied electrical load to mechanical load, crack arrestment can be observed. Cited in 164 Documents MSC: 74R99 Fracture and damage 74F15 Electromagnetic effects in solid mechanics Keywords:conservation law; path-independent integral; governing equations; boundary conditions; linear piezoelectric materials; closed-form solution; antiplane fracture problem; unbounded piezoelectric medium; crack tip; energy release rate; mode III fracture; crack growth; enhanced; retarded PDFBibTeX XMLCite \textit{Y. E. Pak}, J. Appl. Mech. 57, No. 3, 647--653 (1990; Zbl 0724.73191) Full Text: DOI