Abstract
The paper is concerned with methodological and experimental verification of multimodulus linear elasticity model for an isotropic body during tension and compression tests of solid samples of different origin and structure. We analyze the reasons why the values of Young’s modulus recorded during tension–compression tests are different. It is shown that using appropriate test techniques and equipment for measuring and recording deformations in a homogeneous uniaxial stress state makes it possible to obtain statistically insignificant differences in Young’s modulus for a number of materials subjected to tensile and compressive loads.
Similar content being viewed by others
REFERENCES
J. F. Bell, “The Experimental Foundations of Solid Mechanics," in Encyclopedia of Physics, Ed. by S. Flugge, Vol. VIa/1: Mechanics of Solids I, Ed. by C. Trusdell (Springer-Verlag, Berlin–Heidelberg–New York, 1973).
E. V. Lomakin, “Constitutive Relations of Mechanics of Multimodulus Solids," Preprint No. 159 (Inst. Probl. Mech., Acad. of Sci. of the USSR, Moscow, 1980).
S. A. Ambartsumyan, Multimodulus Elasticity Theory(Nauka, Moscow, 1982) [in Russian].
N. M. Matchenko and A. A. Treshchev, The Theory of Deformation of Materials with Different Resistances (Tula State University, Tula, 2004) [in Russian].
V. P. Myasnikov and A. I. Oleinikov, Fundamentals of Mechanics of Heteromodular Media (Dal’nauka, Vladivostok, 2007 [in Russian].
S. A. Ambartsumyan and A. A. Khachatryan, “On Multimodulus Elasticity Theory," Inzh. Zh. Mekh. Tverd. Tela, No. 6, 64–67 (1966).
E. V. Lomakin and Yu. N. Rabotnov, “Elastic Relations for an Isotropic Different-Modulus Material," Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6, 29–34 (1978).
A. V. Berezin, “On the Laws of Deformation of Multimodular Dilating Environment," Probl. Mashinostr. Avtom., No. 2, 70–72 (2007).
I. Yu. Tsvelodub, “Multimodulus Elasticity Theory," Prikl. Mekh. Tekh. Fiz. 49 (1), 157–164 (2008) [J. Appl. Mech. Tech. Phys. 49 (1), 129–135 (2008); https://doi.org/10.1007/s10808-008-0019-1].
L. V. Baev, “Propagation of Longitudinal and Transverse Waves in a Multimodulus Elastic Medium," Prikl. Mekh. Tekh. Fiz.50 (4), 176–182 (2009) [J. Appl. Mech. Tech. Phys.50 (4), 691–697 (2009); https://doi.org/10.1007/s10808-009-0093-z].
B. M. Pakhomov, “A Version of the Model of an Isotropic Multimodulus Material," Vest. Mosk. Gos. Tekh. Univ., Ser. Mashinostroenie, No. 6, 35–48 (2017).
A. Yu. Larichkin and E. V. Karpov, “Deformation Patterns of Polyurethane Material under Various Types of Thermal Force Loads," in Dynamics of Continuous Media, No. 127 (Inst. of Hydrodynamics, Sib. Branch, USSR Acad. of Sci., Novosibirsk, 2012), pp. 43–47.
A. A. Adamov, “On the Homogeneity Hypothesis, Scale Parameters of Length, and on the Edge Effect for the Isotropic Cosserat Continuum," Mekh. Kompoz. Mater. Konstr. 16 (3), 329–346 (2010).
V. N. Maksimenko, I. P. Olegin, N. V. Pustovoi, and V. N. Maksimenko, Methods for Calculating the Strength and Rigidity of Composite Structural Elements (Novosibirsk State Tech. Univ., Novosibirsk, 2015) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Adamov, A.A. METHODOLOGICAL PROBLEMS IN EXPERIMENTAL STUDIES AND VERIFICATION OF THE GOVERNING EQUATIONS OF THE THEORY OF ELASTICITY FOR AN ISOTROPIC BODY WITH DIFFERENT MODULI IN TENSION AND COMPRESSION. J Appl Mech Tech Phy 61, 979–985 (2020). https://doi.org/10.1134/S0021894420060115
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894420060115