Hierarchical models for viscoelasticity: dynamic behaviour in the linear range

Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

“…In the latter case short-term behaviour is similar to a Maxwell model with one element replaced by a spring-pot. Therefore the equivalence demonstrated by Beris and Edwards can be generalized to models including spring-pots (Heymans 1996), hence discussion here will be limited to such models.…”

Rheological Behavior and Morphologies of Reactively Compatibilized PVDF/TPU Blends

“…Here we apply the generalized Maxwell and Zener models [22][23][24][25][26][27][28][29][30][31] to study the rheology of the compatibilized Figure 4(b). The rheological constitutive equation [22][23][24][25][26] of the generalized Maxwell model is…”

“…[25] The standard Zener model consists of a Maxwell model in parallel with a spring, as shown in Figure 5(a). The generalized Zener model is displayed in Figure 5(b), and involves two fractional elements in series and a spring in parallel.…”

“…The generalized Zener model is displayed in Figure 5(b), and involves two fractional elements in series and a spring in parallel. The rheological constitutive equation [20,[22][23][24][25][26]32] of the generalized Zener model is…”

Estudo do comportamento reológico da mistura polimérica PMMA/PS compatibilizada ou não.

“…Os valores de tensão interfacial e β foram obtidos através do bom ajuste entre os dados experimentais e os dados previstos pelo modelo de Zener [64,65] que leva em consideração cinco parâmetros: 1) β 1 e β 2 que são expoentes fracionais; 2) G 0 que corresponde ao módulo fracional dos materiais puros; 3) G e que corresponde ao módulo elástico dos materiais puros e 4) τ 0 que corresponde ao tempo de relaxação das gotas da fase dispersa. A seguir é apresentada a Equação utilizada no trabalho de Sailer et al [63] :…”