... first. Then, these stresses and electric fields are used as the crack surface traction and electric field loads with opposite signs to formulate the mixed boundary value problem. Numerical results for the stress and electric field intensity factors are calculated as a function of normalized time...

... 2001 06 March 2002 10 06 2002 copper indentation hardness plastic deformation slip stacking faults radiation hardening dislocation density plastic flow work hardening bending elasticity free energy boundary-value problems kinematics edge dislocations dislocation...

...Tariq A. Khraishi; Hussein M. Zbib Recent advances in 3-D dislocation dynamics include the proper treatment of free surfaces in the simulations. Dislocation interaction and slip is treated as a boundary-value problem for which a zero-traction condition is enforced at the external surfaces...

... manuscript received February 20, 2002. Guest Editors: Tariq A. Khraishi and Hussein M. Zbib. 27 July 2001 20 February 2002 10 06 2002 elastoplasticity plastic deformation boundary-value problems stress-strain relations mining The borehole problem of an elasto-plastic...

... constitutive models still play an important role in modeling complex material phenomena like failure and microsystems behavior. plastic deformation elastoplasticity grain boundaries slip free energy dislocation density partial differential equations boundary-value problems 07 September...

...R. Mohan, Member ASME; J. Zhang; F. W. Brust The effect of elastic accommodation on the grain boundary diffusion-controlled void growth was analyzed using an axisymmetric unit cell model. An incremental form of the virtual work principle was used to formulate the boundary value problem involving...