The energetic and experimental based approach to description of basic material characteristics and mechanical properties of selected polymers
More details
Hide details
Poznan University of Technology, Faculty of Mechanical Engineering, Poznan, Poland
Submission date: 2019-03-06
Acceptance date: 2019-08-28
Online publication date: 2020-01-15
Publication date: 2020-01-15
Journal of Theoretical and Applied Mechanics 2020;58(1):183–193
The paper presents a proposal of using an experimental phenomenological approach and energy based method to the modelling of mechanical properties of nonlinear elastic mate- rials using examples of two selected polymers. On the basis of an experimental stress-strain relation, together with transversal deformation measurement and the geometrical interpre- tation of the deformation process, analytical forms of the strain energy density function and a pure volumetric part of the strain energy density function have been introduced. The volumetric part of energy has been used in the description of the material damage process interpreted as the appearance of the first plastic deformations, which is the original part of the work and continuous investigations carried out by Wegner and Kurpisz. All theoretical investigations have been illustrated using examples of PVC and PA-6.
Agostiniani V., DeSimone A., 2012, Ogden-type energies for nematic elastomers, International Journal of Non-Linear Mechanics, 47, 402-412.
Cowie J.M.G., Arrighi V., 1995, Polymers: Chemistry and Physics of Modern Materials, CRC Press, Taylor & Francis Group, Boca Raton.
Hamiel Y., Lyakhovsky V., Ben-Zion Y., 2011, The elastic strain energy of damaged solids with applications to non-linear deformation of crystalline rocks, Pure and Applied Geophysics, 168, 2199-2210.
Li J., Ren X., 2009, Stochastic damage model for concrete based on energy equivalent strain, International Journal of Solids and Structures, 46, 2407-2419.
Li Q.M., 2001, Strain energy density failure criterion, International Journal of Solids and Structures , 38, 6997-7013.
Nakai K., Yokoyama T., 2008, Strain rate dependence of compressive stress-strain loops of several polymers, Journal of Solid Mechanics and Materials Engineering, 2, 4.
Nakai K., Yokoyama T., 2015, Uniaxial compressive response and constitutive modeling of selected polymers over a wide range of strain rates, Journal Dynamic Behavior Materials, 1, 15-27.
Necas J., Hlavácek I., 1981, Mathematical Theory of Elastic and Elasto Plastic Bodies: An Introduction, Elsevier.
Obst M., Kurpisz D., Mencel K., 2015, Energy based mechanical characteristics of polymers POM-C, PET, PA6, PVC, PVDF, Machine Dynamics Research, 39, 4, 93-106.
Sang J.B., Sun L.F., Xing S.F., Liu B.H., Sun Y.L., 2014, Mechanical properties of polimer rubber materials based on a new constitutive model, Polymers and Polymer Composites, 22, 8.
Valavala P.K., 2008, Multiscale constitutive modeling of polymer materials, Dissertation, Michigan Technological University.
Ward I.M., Sweeny J., 2013, Mechanical Properties of Solid Polymers, JohnWiley & Sons, Ltd., 3rd ed., ISBN: 9781444319507.
Wegner T., Kurpisz D., 2013, Phenomenological modeling of mechanical properties of metal foam, Journal of Theoretical and Applied Mechanics, 51, 203-214.
Wegner T., Obst M., 2007, The process of uniaxial stretching in the space of the main components of deformations (in Polish), Zeszyty Naukowe Politechniki Poznańskiej. Budowa Maszyn i Zarządzanie Produkcją, 129-152.