Continuum model of the interphase layer is developed as a model of media with kept dislocations. The basis of approach is the theory of defects [Int J of Solids & Structures, 2005,v43, N1. 91-111], which includes classification of continuous media with defects, definition of different levels defects, investigation of defects generation and healing mechanisms. The multiscale interphase layer model is developed using variational kinematic principle [Int J Comp Mater Scs N3-4, 529-539]. The cohesion and adhesion interactions are modeled as the length scale effects. The model has been successfully applied to prediction/modeling of cohesion type interactions and both cohesion and adhesion superficial interactions[Int. J Comp Mater Scs; A., 2005, V36, N2. 145-152]. Mathematical model of the Barenblatt's cohesion field in fracture mechanics is given; existence of local cohesion fields near a crack tip has received the formal substantiation, new physical cohesion parameter is found as a fracture factors [In book: Analysis and Simulation of Multifield Problems, Springer, 2003; V12, 101-110]. For modelling of the mechanical properties of composites we use the different scale levels: the nano- and micro-mechanical scale, the scale of substructure (cell with inclusion, mono-layer) and the macro-scale (filled composites and layered composites as whole). The homogenization procedure [Comp Math And Math Phys.2006, V46, N7, 1318-1337] allows to predict the effective properties linking the different levels of modelling. Concept of the quantum-mechanical description of materials is formulated which allows to link characteristics of materials with parameters of potentials. Two new potentials are offered, which describe the cohesion interactions and Van der Waals interactions.

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