Wave processes in elastic-viscoplastic media with dislocations
Source abstract
Abstract
The mechanisms of plane harmonic wave propagation in homogeneous and interfaced elastic-viscoplastic media are considered using the field theory of defects with kinematic identities of a dislocation-containing elastic continuum and dynamic equations of the gauge theory of dislocations. The reflection and refraction coefficients were determined for displacement waves and defect field waves with the defect field characterized by the dislocation density tensor and flux density tensor. The dependence of the coefficients on the parameters of the interfaced media is analyzed.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Elasticity and Wave Propagation · Thermoelastic and Magnetoelastic Phenomena
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (17)
Show source-provided references
1. Vinogradova, M.B., Rudenko, O.V., and Sukhorukov, A.P., Theory of Waves, Moscow: Nauka, 1990.
2. Erofeyev, V.I., Wave Processes in Solids with Microstructure, Singapore: World Scientific, 2003.10.1142/5157 ↗
3. Eringen, A.C., Theory of Micropolar Elasticity, Fracture: An Advanced Treatise, Liebowitz, H., Ed., New York: Academic Press, 1968, vol. II, pp. 621–751.
4. Mindlin, R.D., Microstructure in Linear Elasticity, Arch. Ration. Mech. Anal., 1964, vol. 16, p. 51.10.1007/BF00248490 ↗
5. Boyko, VS., Garber, R.I., and Kosevich, A.M., Reversible Crystal Plasticity, New York: AIP, 1994.
6. Kadič, A. and Edelen, D.G.B., A Gauge Theory of Dislocations and Disclinations, Lecture Notes in Physics No. 174, Berlin: Springer, 1983.10.1007/3-540-11977-9 ↗
7. Grinyaev, Yu.V., Egorushkin, V.E., and Chertova, N.V., Gauge Theories in Continuum Mechanics, Structural Levels of Plastic Deformation and Fracture, Panin, V.E., Ed., Novosibirsk: Nauka, 1990, pp. 20–53.
8. Grinyaev, Yu.V. and Chertova, N.V, Field Theory of Defects, Phys. Mesomech., 2000, vol. 3, no. 5, pp. 17–29.
9. Panin, V.E., Physical Mesomechanics of Solid Surface Layers, Phys. Mesomech., 1999, vol. 2, no. 6, pp. 5–21.
10. Alekhin, V.P., Physics of Strength and Plasticity of Surface Layers of Materials, Moscow: Nauka, 1983.
11. Chertova, N.V, and Grinyaev, Yu.V, Propagation of Plane Waves of a Defect Field in a Viscoplastic Medium in the Presence of an Interface between Two Media, J. Appl. Mech. Tech. Phys., 2004, vol. 45, no. 1, pp. 96–104.10.1023/B:JAMT.0000009180.16692.3a ↗
12. Chertova, N.V. and Chertov, M.A., Propagation Features of Plane Waves of Defect Field across the Interface Boundary between Viscoplastic Media with Arbitrary Damping, Int. J. Engng. Sci., 2006, vol. 44, pp. 1601–1610.10.1016/j.ijengsci.2006.07.012 ↗
13. Chertova, N.V. and Chertov, M.A., Plane Defect-Field Wave Propagation in a Viscoelastic Medium, Tech. Phys. Lett., 2005, vol. 31, no. 4, pp. 280–283.10.1134/1.1920371 ↗
14. Chertova, N.V, Wave Processes in Solids with Defects, J. Appl. Mech. Tech. Phys., 2008, vol. 49, no. 6, pp. 1047–1054.10.1007/s10808-008-0129-9 ↗
15. Kosevich, A.M., Dislocations in Elasticity Theory, Kiev: Naukova Dumka, 1978.
16. Andronov, A.A., Vitt, A.A., and Khaikin, S.E., Theory of Oscillators, Addison Wesley, 1966.
17. Bogoliubov, N.N. and Mitropolski, Y.A., Asymptotic Methods in the Theory of Non-linear Oscillations, New York: Gordon and Breach, 1961.