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On Determination of...
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]
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- Freire, Rodrigo T.S. (författare)
- 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
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- Nunes, Stephanie Goncalves (författare)
- Luleå tekniska universitet,Maskinelement,Laboratory of Experimental Mechanics of Materials, Riga Technical University, Riga, Latvia
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- Amico, S. C. (författare)
- Department of Materials Engineering, Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil
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- Al-Ramahi, Nawres J., 1980- (författare)
- Luleå tekniska universitet,Materialvetenskap
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- Joffe, Roberts (författare)
- Luleå tekniska universitet,Materialvetenskap
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- Varna, Janis (författare)
- Luleå tekniska universitet,Materialvetenskap,Laboratory of Experimental Mechanics of Materials, Riga Technical University, Riga, Latvia
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(creator_code:org_t)
- 2023-01-18
- 2023
- Engelska.
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Ingår i: Mechanics of composite materials. - : Springer Nature. - 0191-5665 .- 1573-8922. ; 58:6, s. 765-786
- Relaterad länk:
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https://doi.org/10.2...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
Nyckelord
- FEM
- Laplace transforms
- linear viscoelasticity
- quasi-elastic method
- relaxation
- Polymeric Composite Materials
- Polymera kompositmaterial
- Machine Elements
- Maskinelement
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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