Weak solvability of some fractional viscoelasticity models

2018 ◽  
Author(s):  
Vladimir Orlov
Keyword(s):  
Fractional Viscoelasticity ◽  
Weak Solvability

On the Weak Solvability of a Fractional Viscoelasticity Model

2018 ◽  
Vol 98 (3) ◽  
pp. 568-570 ◽  
Author(s):  
V. G. Zvyagin ◽  
V. P. Orlov
Keyword(s):  
Fractional Viscoelasticity ◽  
Weak Solvability

scholarly journals CONTACT PROBLEMS FOR NONLINEARLY ELASTIC MATERIALS: WEAK SOLVABILITY INVOLVING DUAL LAGRANGE MULTIPLIERS

2010 ◽  
Vol 52 (2) ◽  
pp. 160-178 ◽  
Author(s):  
A. MATEI ◽  
R. CIURCEA
Keyword(s):  
Lagrange Multipliers ◽  
Variational Equation ◽  
Small Deformation ◽  
Contact Problems ◽  
Point Theory ◽  
The Body ◽  
Elastic Materials ◽  
Weak Formulation ◽  
Nonlinearly Elastic ◽  
Weak Solvability

AbstractA class of problems modelling the contact between nonlinearly elastic materials and rigid foundations is analysed for static processes under the small deformation hypothesis. In the present paper, the contact between the body and the foundation can be frictional bilateral or frictionless unilateral. For every mechanical problem in the class considered, we derive a weak formulation consisting of a nonlinear variational equation and a variational inequality involving dual Lagrange multipliers. The weak solvability of the models is established by using saddle-point theory and a fixed-point technique. This approach is useful for the development of efficient algorithms for approximating weak solutions.

Excluded volume effects and fractional viscoelasticity in polymers

Meccanica ◽  
2021 ◽  
Author(s):  
Somayeh Mashayekhi ◽  
Eugenia Stanisauskis ◽  
Mahdi Hassani ◽  
William Oates
Keyword(s):  
Excluded Volume ◽  
Fractional Viscoelasticity ◽  
Excluded Volume Effects ◽  
Volume Effects

scholarly journals Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system

2020 ◽  
Vol 25 (6) ◽  
pp. 997-1014
Author(s):  
Ozgur Yildirim ◽  
Meltem Uzun
Keyword(s):  
Difference Scheme ◽  
Numerical Method ◽  
Existence And Uniqueness ◽  
Numerical Experiments ◽  
Finite Difference Schemes ◽  
Order Of Accuracy ◽  
Unconditionally Stable ◽  
First Order ◽  
The Difference ◽  
Weak Solvability

In this paper, we study the existence and uniqueness of weak solution for the system of finite difference schemes for coupled sine-Gordon equations. A novel first order of accuracy unconditionally stable difference scheme is considered. The variational method also known as the energy method is applied to prove unique weak solvability.We also present a new unified numerical method for the approximate solution of this problem by combining the difference scheme and the fixed point iteration. A test problem is considered, and results of numerical experiments are presented with error analysis to verify the accuracy of the proposed numerical method.

Study of the permanent deformation of binders and asphalt mixtures using rheological models of fractional viscoelasticity

2020 ◽  
Vol 260 ◽  
pp. 120438
Author(s):  
M. Lagos-Varas ◽  
A.C. Raposeiras ◽  
D. Movilla-Quesada ◽  
J.P. Arenas ◽  
D. Castro-Fresno ◽  
...  
Keyword(s):  
Permanent Deformation ◽  
Asphalt Mixtures ◽  
Rheological Models ◽  
Fractional Viscoelasticity
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