THERMO-VISCOELASTIC MODEL FOR THE CONTRACTION DURING THE POLYMERIZATION OF BULK FILL RESINS

2018 ◽  
Author(s):  
Claudio Antunes Junior ◽  
Emílio Mercuri ◽  
Ana Paula Gebert de Oliveira Franco ◽  
Leandro Zen Karam
Keyword(s):  
Viscoelastic Model

Oscillatory Viscoelastic Model of Blood Flow in Stenotic Artery

2020 ◽  
Vol 82 (5) ◽  
pp. 617-625
Author(s):  
Pramod Kumar Yadav ◽  
Bhupesh Dutt Sharma ◽  
A. N. Filippov
Keyword(s):  
Blood Flow ◽  
Viscoelastic Model

Burgers viscoelastic model-based variable stiffness design of compliant clamping mechanism for leafy greens harvesting

2021 ◽  
Vol 208 ◽  
pp. 1-15
Author(s):  
Liangliang Zou ◽  
Jin Yuan ◽  
Xuemei Liu ◽  
Jinguang Li ◽  
Ping Zhang ◽  
...  
Keyword(s):  
Viscoelastic Model ◽  
Variable Stiffness ◽  
Leafy Greens ◽  
Model Based ◽  
Stiffness Design

scholarly journals Optimisation on Thermoforming of Biodegradable Poly (Lactic Acid) (PLA) by Numerical Modelling

Polymers ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 654
Author(s):  
Huidong Wei
Keyword(s):  
Lactic Acid ◽  
Numerical Modelling ◽  
Temperature Profile ◽  
Food Packaging ◽  
Strong Dependence ◽  
Viscoelastic Model ◽  
Poly Lactic Acid ◽  
Strain History ◽  
Optimal Temperature ◽  
Broad Perspective

Poly (lactic acid) (PLA) has a broad perspective for manufacturing green thermoplastic products by thermoforming for its biodegradable properties. The mechanical behaviour of PLA has been demonstrated by its strong dependence on temperature and strain rate at biaxial deformation. A nonlinear viscoelastic model by the previous study was employed in a thermoforming process used for food packaging. An optimisation approach was developed by achieving the optimal temperature profile of specimens by defining multiple heating zones based on numerical modelling with finite element analysis (FEA). The forming process of a PLA product was illustrated by modelling results on shape evolution and biaxial strain history. The optimal temperature profile was suggested in scalloped zones to achieve more even thickness distribution. The sensitivity of the optimal results was addressed by checking the robustness under perturbation.

scholarly journals Modelling of Pore Collapse during Polymer Sintering: Viscoelastic Model with Enclosed Gas

Materials ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2182
Author(s):  
Florian Wohlgemuth ◽  
Dirk Lellinger ◽  
Ingo Alig
Keyword(s):  
Surface Tension ◽  
Gas Transport ◽  
Selective Laser Sintering ◽  
Viscoelastic Model ◽  
Polymer Melt ◽  
Gas Diffusion ◽  
Gas Pressure ◽  
Parameter Study ◽  
Time Interval ◽  
Pore Collapse

Frenkel’s model for the late stage of coalescence of viscous particles has been extended to describe pore collapse in a viscoelastic melt during polymer sintering. The shrinkage of a pore in a polymer melt driven by surface tension is extended by taking into account the effects of trapped gas and gas transport out of the pore. Viscoelasticity has been shown to have a considerable impact on the time scale of the coalescence process. In addition, gas diffusion modifies the coalescence dynamics. Based on a parameter study, different regimes for the pore collapse have been identified. At the beginning of pore collapse, surface tension is considerably stronger than gas pressure within the pore. In this time interval (surface-tension-driven regime), the pore shrinks even in the absence of gas diffusion through the matrix. In the absence of gas transport, the shrinkage dynamic slows down and stops when the surface tension balances the gas pressure in the pore. If gas transport out of the pore is possible, surface tension and gas pressure are balanced while the gas pressure slowly decreases (diffusion-controlled regime). The final phase of pore collapse, which occurs when the gas pressure within the pore decreases sufficiently, is controlled again by surface tension. The limitations of the model are discussed. To analyze the interplay between different mechanisms and process steps during selective laser sintering, the respective time scales are compared using experimental data.

scholarly journals Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Fengyun Zhang
Keyword(s):  
Viscoelastic Model ◽  
Energy Decay ◽  
Decay Rates ◽  
Polynomial Form ◽  
Computational Technique ◽  
Exponential Form ◽  
Nonlinear Source ◽  
Priori Estimates ◽  
Energy Decay Rates ◽  
Mathematica Software

This paper considers the fuzzy viscoelastic model with a nonlinear source u t t + L u + ∫ 0 t g t − ζ Δ u ζ d ζ − u γ u − η Δ u t = 0 in a bounded field Ω. Under weak assumptions of the function g t , with the aid of Mathematica software, the computational technique is used to construct the auxiliary functionals and precise priori estimates. As time goes to infinity, we prove that the solution is global and energy decays to zero in two different ways: the exponential form and the polynomial form.

scholarly journals A Hyper-viscoelastic model for filled-rubber materials: experiments and simulations

2021 ◽  
Vol 1774 (1) ◽  
pp. 012066
Author(s):  
Yunyu Li ◽  
Shu Chen ◽  
Jing Chen ◽  
Shuyan Shi ◽  
Longfan Peng
Keyword(s):  
Viscoelastic Model ◽  
Filled Rubber

scholarly journals An Analytical Solution for Non-Linear Viscoelastic Impact

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1849
Author(s):  
Stelian Alaci ◽  
Constantin Filote ◽  
Florina-Carmen Ciornei ◽  
Oana Vasilica Grosu ◽  
Maria Simona Raboaca
Keyword(s):  
Analytical Solution ◽  
Hysteresis Loop ◽  
Viscoelastic Model ◽  
First Integral ◽  
Coefficient Of Restitution ◽  
Contact Period ◽  
Maximum Deformation ◽  
Impact Parameters ◽  
Simplified Algorithm ◽  
The Moment

The paper presents an analytical solution for the centric viscoelastic impact of two smooth balls. The contact period has two phases, compression and restitution, delimited by the moment corresponding to maximum deformation. The motion of the system is described by a nonlinear Hunt–Crossley equation that, when compared to the linear model, presents the advantage of a hysteresis loop closing in origin. There is only a single available equation obtained from the theorem of momentum. In order to solve the problem, in the literature, there are accepted different supplementary hypotheses based on energy considerations. In the present paper, the differential equation is written under a convenient form; it is shown that it can be integrated and a first integral is found—this being the main asset of the work. Then, all impact parameters can be calculated. The effect of coefficient of restitution upon all collision characteristics is emphasized, presenting importance for the compliant materials, in the domain of small coefficients of restitution. The results (variations of approach, velocity, force vs. time and hysteresis loop) are compared to two models due to Lankarani and Flores. For quasi-elastic collisions, the results are practically the same for the three models. For smaller values of the coefficient of restitution, the results of the present paper are in good agreement only to the Flores model. The simplified algorithm for the calculus of viscoelastic impact parameters is also presented. This algorithm avoids the large calculus volume required by solving the transcendental equations and definite integrals present in the mathematical model. The method proposed, based on the viscoelastic model given by Hunt and Crossley, can be extended to the elasto–visco–plastic nonlinear impact model.

Free volume based nonlinear viscoelastic model for polyurea over a wide range of strain rates and temperatures

2021 ◽  
Vol 152 ◽  
pp. 103650
Author(s):  
Chencheng Gong ◽  
Yan Chen ◽  
Ting Li ◽  
Zhanli Liu ◽  
Zhuo Zhuang ◽  
...  
Keyword(s):  
Free Volume ◽  
Viscoelastic Model ◽  
Strain Rates ◽  
Nonlinear Viscoelastic ◽  
Wide Range ◽  
Nonlinear Viscoelastic Model
Sign in / Sign up

Export Citation Format

Share Document