On Determination of the Linear Viscoelastic Compliance and Relaxation Functions for Polymers in One Tensile Test: [Об определении функций линейной вязкоупругой податливости и релаксации полимеров в одном испытании на растяжение]

On Determination of the Linear Viscoelastic Compliance and Relaxation Functions for Polymers in One Tensile Test : [Об определении функций линейной вязкоупругой податливости и релаксации полимеров в одном испытании на растяжение]

Freire, Rodrigo T.S. (author): Luleå tekniska universitet,Materialvetenskap,Centre for Innovation and Technology in Composite Materials, Department of Mechanical Engineering, Federal University of São João del Rei (UFSJ), São João del Rei, 36307-344, Brazil; Department of Natural Sciences, Federal University of São João del Rei (UFSJ), São João del Rei, Brazil

Nunes, Stephanie Goncalves (author): Luleå tekniska universitet,Maskinelement,Laboratory of Experimental Mechanics of Materials, Riga Technical University, Riga, Latvia

Amico, S. C. (author): Department of Materials Engineering, Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil

Al-Ramahi, Nawres J., 1980- (author): Luleå tekniska universitet,Materialvetenskap

Varna, Janis (author): Luleå tekniska universitet,Materialvetenskap,Laboratory of Experimental Mechanics of Materials, Riga Technical University, Riga, Latvia

(creator_code:org_t)

2023-01-18
2023
English.
In: Mechanics of composite materials. - : Springer Nature. - 0191-5665 .- 1573-8922. ; 58:6, s. 765-786

Related links:: https://doi.org/10.2...; show more...; https://urn.kb.se/re...; https://doi.org/10.1...; show less...

Abstract Subject headings

Usually, the viscoelastic (VE) response of polymers for applications in composites is obtained in uniaxial strainor stress-controlled tests. However, analyzing multimaterial structures by the Finite Element Method (FEM) or by other numerical or analytical tools, a material model in terms of a complete set of compliance functions and/or relaxation functions is required. In this paper, a methodology and exact analytical expressions for calculating the whole set of VE functions is presented based on the relaxation modulus E(t)and Poisson’s ratio v (t) determined in strain-controlled tests. The method is based on Laplace transforms, where an exact inversion is possible if a linear VE model with functions in Prony series is used. Results of the analytical model are compared with the FEM simulation, where specific boundary conditions to determine each particular VE function are used. Finally, the applicability of the so-called quasi-elastic method is investigated, where the expressions of elasticity theory are used to calculate a given viscoelastic function at an instant of time tk using the instant values of E(tk) and v(tk). For isotropic materials, the three approaches render almost coinciding results.

By the author/editor: Freire, Rodrigo ...; Nunes, Stephanie ...; Amico, S. C.; Al-Ramahi, Nawre ...; Joffe, Roberts; Varna, Janis

About the subject

ENGINEERING AND TECHNOLOGY: ENGINEERING AND ...; and Mechanical Engin ...; and Applied Mechanic ...

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