Abstract
The defining relations are formulated for high-strength (rigid) polymer materials whose deformability is considerably lower than in elastic materials. For these materials, the elastic stage of deformation is geometrically nonlinear. At the plastic stage, a yield plateua is absent, and a linear displacement up to fracture is present. The relations are constructed based on the experiments conducted by the authors; the consistency criteria, and the Il'yushin-Shevchenko geometric approach.
Similar content being viewed by others
References
A. A. Il'yushin,Continuum Mechanics [in Russian], Izd. MGU, Moscow (1978).
Ya. F. Kayuk,Geometrically Nonlinear Problems of the Theory of Plates and Shells [in Russian],. Naukova Dumka, Kiev (1987).
A. I. Lurie,The Nonlinear Theory of Elasticity [in Russian]., Nauka, Moscow (1980).
N. N. Malinin,The Applied Theory of Plasticity and Creep [in Russian]., Mashinostroyeniye, Moscow (1968).
V. V. Novozhilov,The Theory of Elasticity [in Russian]., Sudpromgiz, Moscow-Leningrad (1958).
V. G. Piskunov (ed.) and V. K. Prisyazhnyuk,Strength of Materials and Fundamentals of the Theory of Elasticity and Plasticity, Book 1, Part 1 ofFundamentals of the Course (in five books and two parts) [in Ukrainian], Vyshcha Shkola, Kiev (1994).
Yu. N. Shevchenko,Numerical Methods for Solving Applied Problems, Vol. 6 of the six-volume seriesThree-Dimensional Problems of the Theory of Elasticity and Plasticity [in Russian], Naukova Dumka, Kiev (1986).
Additional information
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol 36, No. 3, pp. 115–121, March, 2000.
Rights and permissions
About this article
Cite this article
Kayuk, Y.F., Sikora, A.A. The defining relations of some polymeric materials subject to nonlinear deformation. Int Appl Mech 36, 391–398 (2000). https://doi.org/10.1007/BF02681923
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02681923