In this paper we study some geometrical questions about the polytope of bi-capacities. For this, introduce concept pointed order polytope, a natural generalization polytopes. Basically, is that takes advantage relation partially ordered set and such there relevant element in structure. We which are vertices polytopes sort out simple way to determine whether two adjacent. also general form its f...

• Geometrical nonlinearities cause deviations from LEFM even in materials with linear elastic response prior to cleavage Fracture is a collective phenomenon at the atomic scale, purely local and interactions toughness cannot be re-conciliated using only separation distance of crack tip atom pair an incremental loading procedure also influence lattice trapping Realistic nonlinear responses are a...

The paper discusses the basic issues of local approach to ductile fracture structural metals, with particular emphasis on failure due microvoid development. mechanisms nucleation voids around inclusions and precipitates are characterized. criteria for resulting from cracking existing particles or their separation material matrix presented. Selected results experimental studies Finite Element Me...

Fracture healing is a specialized postnatal repair process that recapitulates many aspects of embryological skeletal development. While many of the molecular mechanisms that control cellular differentiation and growth during embryogenesis recur during fracture healing, these processes take place in a postnatal environment that is unique and distinct from those which exist during embryogenesis. ...

A numerical procedure to determine the equivalent hydrodynamic dispersion coefficients and Péclet number (Pe) of a fractured rock is presented using random walk particle tracking method. The geometrical effects of fracture system on hydrodynamic dispersion are studied. The results obtained from the proposed method agree well with those of empirical models, which are the scale-dependent hydrodyn...

A model is proposed, which predicts the toughness of 7000 series aluminium alloys in a variety of situations, including two alloy compositions, different quench rates from the solution treatment temperature and ageing states from underaged to overaged. The model is derived in three steps. The energy dissipated by transgranular fracture is first calculated, using a simplified cohesive zone appro...