Modelling of linear elasticity and viscoelasticity of thermosets and unidirectional glass fibre-reinforced thermoset-matrix composites. Part 2, Homogenization and numerical analysis

• Autorzy: Klasztorny Marian , Nycz Daniel B.
• Języki publikacji: EN

Abstrakty

EN

The study continues the advanced analytical modelling of the linear elasticity and viscoelasticity of thermosets and unidirectional glass fibre-reinforced thermoset-matrix (UFRT) composites. The thermosets are isotropic materials with viscoelastic shear strains and elastic bulk strains, and the fibres are isotropic and elastic. The modified homogenization theory for UFRT composites, based on the selected tasks of the linear theory of elasticity, is developed. The modifications include a volumetrically equivalent cylindrical representative volume cell, solutions determined for an isotropic fibre based on the solutions for a monotropic (transversely isotropic) fibre, and certain modifications in the third task of the theory of elasticity. The viscoelastic constants of the thermoset are derived analytically and validated by fitting of the simulation and experimental shear strains on a logarithmic time scale in the unidirectional tension creep test. The viscoelastic constants of the UFRT composite are derived analytically and validated by fitting of the storage compliances corresponding to the new viscoelastic model and one obtained from the viscoelastic-elastic correspondence principle. The tension creep experiment is performed on the selected structural unsaturated polyester resin. Identification and validation are carried out for that thermoset and the corresponding UFRT composite with long E-glass fibres. All the modelling hypotheses are confirmed.

Słowa kluczowe

EN

thermoset; unidirectional glass fibre-reinforced thermoset-matrix composite; rheological modelling; experimental tests; numerical analysis

PL

materiał termoutwardzalny; jednokierunkowy kompozyt wzmocniony włóknem szklanym z osnową termoutwardzalną; modelowanie reologiczne; badania eksperymentalne; analiza numeryczna

• Wydawca: Polskie Towarzystwo Materiałów Kompozytowych
• Czasopismo: Composites Theory and Practice
• Rocznik: 2022
• Tom: R. 22, nr 1
• Strony: 25--39
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Klasztorny Marian

• Professor Emeritus in Civil and Mechanical Engineering

autor

Nycz Daniel B.

• Institute of Technology, Jan Grodek State University in Sanok, ul. A. Mickiewicza 21, 38-500 Sanok, Poland

Bibliografia

• [1] Klasztorny M., Nycz D.B., Modelling of linear elasticity and viscoelasticity of thermosets and unidirectional glass fibre-reinforced thermoset-matrix composites – Part 1: Theory of modelling, Composites Theory and Practice 2022, 22, 1, 3-15.
• [2] Wilczynski A.P., A basic theory of reinforcement for unidirectional fibrous composites, Composites Science and Technology 1990, 38(4), 327-337, DOI: 10.1016/0266-3538(90)90019-2.
• [3] Wilczynski A.P., Lewinski J., Predicting the properties of unidirectional fibrous composites with monotropic reinforcement, Composites Science and Technology 1995, 55(2), 139-143, DOI: 10.1016/0266-3538(95)00090-9.
• [4] Klasztorny M., Konderla P., Piekarski R., An exact stiffness theory for unidirectional xFRP composites, Mechanics of Composite Materials 2009, 45(1), 77-104, DOI: 10.1007/s11029-009-9064-y.
• [5] PN-EN ISO 527-1:1998. Plastics. Determination of mechanical properties in static tension. General rules [in Polish].
• [6] PN-EN ISO 527-5:2000. Plastics. Determination of mechanical properties in static tension. Testing conditions for polymer-matrix composites reinforced with unidirectional fibres [in Polish].
• [7] PN-EN ISO 14126:2002. Fibre-reinforced plastic composites. Determination of properties at in-plane compression [in Polish].
• [8] ASTM D 5379/D 5379M-98. Standard Test Method for Shear Properties of Composite Materials by the V-Notched Beam Method.
• [9] PN-ISO 2602:1994. Statistical interpretation of test results. Estimation of mean value. Confidence interval [in Polish].
• [10] Klasztorny M., Kiczko A., Nycz D.B., Identification tests on UFRT composite at normal conditions [in Polish], Report No. WAT/WME/4/2014, Research Project No. PBS1/B2/6/2013, Military University of Technology, Warsaw, Poland.
• [11] Szmelter J., Computational Methods in Mechanics [in Polish], PWN Press, Warsaw 1980.
• [12] Gauss-Legendre quadrature weighs and nodes. Engineering Fundamentals, http://www.efunda.com, access 05/15/2021.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).