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On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting
Type of publication: Article
Citation:
Publication status: Published
Journal: Physics of Fluids
Volume: 28
Number: 10
Year: 2016
Pages: 103102
DOI: 10.1063/1.4964662
Abstract: Rigorous analysis of the response of nonlinear materials to step inputs requires one to simultaneously handle the discontinuity, differentiation, and nonlinearity. This task is however beyond the reach of the standard theories such as the classical theory of distributions and presents a considerable mathematical difficulty. New advanced mathematical tools are necessary to handle the challenge. An elegant and relatively easy-to-use framework capable of accomplishing the task is provided by the Colombeau algebra, which is a generalisation of the classical theory of distributions to the nonlinear setting. We use the Colombeau algebra formalism and derive explicit formulae describing the response of incompressible Maxwell viscoelastic fluid subject to step load/deformation in the lubricated squeeze flow setting.
Preprint project: MORE
Preprint year: 2016
Preprint number: 18
Preprint ID: MORE/2016/18
Keywords: Colombeau algebra, creep, squeeze flow, stress relaxation
Authors Řehoř, Martin
Průša, Vít
Tůma, Karel
Added by: [VP]
Total mark: 0
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