... to deal with the problems involving multiple space and time scales, in particular the nonequilibrium damage evolution to macroscopic failure. In Sec. 4 , several frameworks of mesomechanics linking multiple space and time scales, like dislocation theory, physical mesomechanics, Weibull theory...

..., mainly for dislocations and cracks in materials, are derived. In addition, attention is drawn to those variational problems and generalized solutions (weak solutions) of boundary value problems and numerical implementation by the finite element method. The above may be seen as a development of the theory...

...R Phillips,, Author; MS Kuczma,, Reviewer 10 06 2002 crystal defects solid structure dislocations reviews 5R2. Crystals, Defects and Microstructures: Modeling Across Scales. - R Phillips (Brown Univ, Providence RI) . Cambridge UP, Cambridge, UK. 2001. 780 pp...

...JW Rudnicki This review article discusses the applications of poroelasticity to the mechanics of faulting and failure in geomaterials. Values of material parameters inferred from laboratory and field studies are summarized. Attention is focused on solutions for shear dislocations and shear cracks...