Closed-form solutions for the transient dynamic problems of a suddenly applied anti-plane concentrated force and concentrated impulse near a crack are obtained. The various wave signals comprising the solutions are identified, and their behavior noted. The concentrated force solution is then employed as a Green's function to solve the important problem of arbitrary screw dislocation motion near...

It is shown that the strain field of an edge dislocation in a smectic crystal must be described in the framework of nonlinear theory, even far away from the core region. We present an exact solution of this nonlinear problem. The result of the linear theory is recovered in the limit of large bending rigidity.

We analyze the mechanisms underlying the deformation of a nanovoid in an Al crystal subjected to cyclic shear deformation using numerical simulations. Boundary and cell-size effects have been minimized by means of the quasicontinuum method. The deformation of the void entails a noticeable reduction in volume. During the loading phase, our analysis reveals several stages of stress buildup separa...

We derive in algebraic form the displacement and stress fields produced by a triangular element of constant slip by superposing the solution of Comninou and Dundurs (1975) for an angular dislocation in an elastic half-space. Triangular elements are more flexible for simulating complex geometries than the rectangular elements widely used for modeling slip zones as a superposition of constant sli...