Fractal approach to the intephase in filled polymers

Overcoming the limitations of distinct element method for multiscale modeling of materials with multimodal internal structure

“…The available structural and mechanical models of interfaces can be conventionally assigned to two basic concepts: (i) implicit account of the interface zone (without regard for its geometric parameters and property gradients) [14,[54][55][56][57][58][59] and (ii) explicit account of the interface as an independent structural element [60][61][62]. In the first case, the major parameters characterizing the interface are its strength properties (''strong interfaces'' or perfect bonding).…”

Polymers as Natural Nanocomposites. 3. The Geometry of Intercomponent Interactions

“…However, at using the value D cl as L b reduction or intercomponent adhesion level raising at N u decrease is obtained and at N u = 0 the value b reaches its minimum b = 0. In other words, in this case the intercomponent adhesion greatest level is reached at intercomponent couplings formation sites (nodes), that is physically tactless [10]. And on the contrary, at the condition L= l st b reduction (intercomponent adhesion level raising) at contacts number N u increase between nanoclusters and loosely-packed matrix is observed that is obvious from the physical point of view.…”

“…1 demonstrate that depending on testing temperature two types of nanoclusters -loosely-packed matrix interaction are observed: either an ideal adhesion or a large friction between them. For quantitative estimation of these interactions let's estimate first of all their level, which can be done with the aid of the parameter b, determined according to the equation [8]: As it was shown in paper [10], the level of fillerpolymer matrix interactions is determined by sites (nodes) number N u of filler particle surface, which are accessible for interfacial (intercomponent) bonds formation. The value N u is determined by the general fractal relationship [11]…”

Synchronous, primary, diffuse, large b‐cell lymphomas involving the ethmoid sinus and epiglottis: A rare clinical entity

“…As it is well known,15, 16 the properties of interfacial regions determine to a larger extent the properties of polymer composites as engineering materials. From Figure 4, in which the dependence of experimentally determined macroscopic strength of carbon plastics σ f on σ int is presented, demonstrates this law: the increase in σ int from 35 up to 125 MPa results in an increase in σ f from∼300 up to ∼406 MPa.…”