DEFORMATION OF A THREE-LAYER BAR WITH A COMPRESSIBLE FILLER IN THE NEUTRON FLUX
Abstract
The present paper considers the deformation of a three-layer elastoplastic bar with a compressible filler in the temperature field. To describe kinematic properties of an asymmetric through thickness pack we have accepted the hypotheses of a broken line as follows: Bernoulli’s hypothesis is true in thin bearing layers; Timoshenko’s hypothesis is true in the compressible through thickness filler with a linear approximation of displacements through the layer thickness. The physical stress-strain relations correspond to the theory of small elastoplastic deformations. Temperature variations were calculated by the formula obtained by averaging the thermophysical properties of layer materials in terms of the bar thickness. A system of differential equilibrium equations has been derived using the variational method. An analytical solution has been derived by the method of elastic solutions for the case of a uniform distribution of a continuous load. Its numerical analysis has been performed.
About the Authors
M. A. Zhuravkov
Belarusian State University
Belarus
Belarus
D. Sc. (Physics and Mathematics), Professor, Head of the Department
D. V. Leonenko
Belarusian State University of Transport
Belarus
Belarus
D. Sc. (Physics and Mathematics), Assistant Professor, Professor
Yu. M. Pleskaсhevsky
National Academy of Sciences of Belarus
Belarus
Belarus
Corresponding Member, D. Sc. (Engineering), Professor, Advisor to Chairman of the Presidium
E. I. Starovoitov
Belarusian State University of Transport
Belarus
Belarus
D. Sc. (Physics and Ma thematics), Professor, Head of the Department
References
1. Bolotin V. V., Novichkov Yu. N. Mechanics of layered structures. Moscow, Mashinostroenie Publ., 1980. 375 p. (in Russian).
2. Pleskachevsky Yu. M., Starovoitov E. I., Leonenko D. V. Mechanics of three-layered bars and plates connected to an elastic foundation. Moscow, Fizmatlit, 2011. 560 p. (in Russian).
3. Pleskachevsky Yu. M., Starovoitov E. I., Yarovaya A. V. Dynamics of metal-polymeric systems. Minsk, Belaruskaya navuka Publ., 2004. 386 p. (in Russian).
4. Starovoitov E. I., Leonenko D. V., Rabinsky L. N. Deformation of three-layer physically nonlinear bars. Moscow, Publishing house of the Moscow Aviation Institute (MAI), 2016. 184 p. (in Russian).
5. Ivañez I., Moure M. M., Garcia-Castillo S. K., Sanchez-Saez S. The oblique impact response of composite sandwich plates. Composite Structures, 2015, no. 133, pp. 1127–1136. doi.org/10.1016/j.compstruct.2015.08.035
6. Grover N., Singh B. N., Maiti D. K. An inverse trigonometric shear deformation theory for supersonic f lutter characteristics of multilayered composite plates. Aerospace Science and Technology, 2016, vol. 52, pp. 41–51. doi.org/10.1016/j. ast.2016.02.017
7. Kuznetsova E. L., Leonenko D. V., Starovoitov E. I. Natural vibrations of three-layer circular cylindrical shells in an elastic medium. Mechanics of Solids, 2015, vol. 50, no. 3, pp. 359–366. doi.org/10.3103/s0025654415030127
8. Starovoitov E. I., Leonenko D. V. Investigation of the frequency spectrum of a three-layered cylindrical shell with an elastic filler. Mekhanika kompozitsionnykh materialov i konstruktsii = Mechanics of composite materials and structures, 2015, vol. 21, no. 2, pp. 162–169 (in Russian).
9. Starovoitov E. I., Leonenko D. V. Resonance oscillations of a three-layered cylindrical shell with an elastic filler. Mekhanika kompozitsionnykh materialov i konstruktsii = Mechanics of composite materials and structures, 2016, vol. 22, no. 1, pp. 60–68 (in Russian).
10. Starovoitov E. I., Leonenko D. V., Rabinskiy L. N. Natural vibrations of a composite cylindrical shells with an elastic filler. Composites: Mechanics, Computations, Applications, 2016, vol. 7, no. 2, pp. 119–133. doi.org/10.1615/compmechcomputapplintj.v7.i2.30
11. Leonenko D. V., Starovoitov E. I. Thermal impact on a circular sandwich plate on an elastic foundation. Mechanics of Solids, 2012, vol. 47, no. 1, pp. 111–118. doi.org/10.3103/s0025654412010116
12. Gorshkov A. G., Starovoitov E. I., Yarovaya A. V. Cyclic loading of elastic-plastic bodies in neutron flux. Mechanics of Solids, 2001, vol. 36, no. 1, pp. 64–69.
13. Leonenko D. V., Starovoitov E. I. Thermoplastic strain of circular sandwich plates on an elastic base. Mechanics of Solids, 2009, vol. 44, no. 5, pp. 744–755. doi.org/10.3103/s0025654409050112
14. Starovoitov E. I., Leonenko D. V. Deformation of a three-layer elastoplastic beam on an elastic foundation. Mechanics of Solids, 2011, vol. 46, no. 2, pp. 291–298. doi.org/10.3103/s002565441102018x
15. Starovoitov E. I., Leonenko D. V., Zhuravkov M. A. The variable deformation of the three-layer rod by local sinusoidal load. Fundamental’nye i prikladnye problemy tehniki i tehnologii = Fundamental and Applied Problems of Technics and technology, 2016, no. 1, pp. 19–28 (in Russian).
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