This paper discusses boundary conditions appropriate to a theory of single-crystal plasticity (Gurtin, 2002) that includes an accounting for the Burgers vector through energetic and dissipative dependences on the tensor G = curlH, with H the plastic part in the additive decomposition of the displacement gradient into elastic and plastic parts. This theory results in a flow rule in the form of N...

Treena I. Burgess, Centre for Phytophthora Science and Management, School of Biological Sciences and Biotechnology, Murdoch University, Murdoch, WA 6150, Australia; Janet L. Webster and Juanita A. Ciampini, Department of Environment and Conservation, Science Division, Locked Bag 104, Bentley D.C., WA 6983, Australia; Diane White and Giles E. StJ. Hardy, Centre for Phytophthora Science and Manag...

Three direct integration schemes for the matrix equations of motion of structural dynamics-the Newmark generalized acceleration operator, the Wilson averaging variant of the linear acceleration operator and an averaging method based on a variational principle derived by Gurtin-are investigated for stability and approximation viscosity. Using established techniques developed by J. von Neumann an...

The general relativistic theory of elasticity is reviewed from a Lagrangian, as opposed to Eulerian, perspective. equations motion and stress-energy-momentum tensor for hyperelastic body are derived the gauge-invariant action principle first considered by DeWitt. This natural extension single particle. central object in Lagrangian treatment Landau-Lifshitz radar metric, which version right Cauc...

In this paper, we study the long-time dynamics of a nonlinear model piezoelectric beam subjected to magnetic and thermal effects. The effect acts on system according Coleman-Gurtin law. Using semigroup theory, prove existence uniqueness solutions. global attractors is proved by showing that dynamical associated with solutions quasi-stable gradient. To conclude, show family continuous dense resi...