Problem of plane strain state of two-layer body in dynamic elastic-plastic formulation (Part III)

Authors

DOI:

https://doi.org/10.32347/tit.2022.51.0302

Keywords:

plane, strain, impact, composite material, armed material, reinforced material, elastic-plastic, deformation

Abstract

Composites materials are artificially created materials that consist of two or more components that differ in composition and are separated by a pronounced boundary. The development of modern composite materials is associated with the discovery of high-strength whiskers, with the study and use of aluminides and high-strength alloys. At present, various composite materials have been developed and used: fibrous; reinforced with whiskers and continuous crystals and fibres of refractory compounds and elements; dispersion-hardened materials; layered materials; alloys with directional crystallization of eutectic structures; alloys with intermetallic hardening. There are many technologies for producing composites: imbibition of reinforcing fibres with matrix (base) material; cold pressing of components followed by sintering; sediment of the matrix by plasma spraying on the hardener, followed by compression; batch diffusion welding of multilayer tapes of components; joint rolling of reinforcing elements with a matrix, and etc. The use of composites makes it possible to reduce the weight of aircraft, cars, ships, increase the efficiency of engines, and create new constructions with high performance and reliability. The development of composites with high impact resistance is an important direction in the industry. The strength characteristics of a layered composite material are decisive under shear loads, loading of the composite in directions other than the orientation of the layers, and cyclic loading. In this paper, we study the non-stationary interaction of an absolutely rigid body on a two-layer reinforced composite material. The action of the striker is replaced by a non-stationary vertical even distributed load, which changes according to a linear function, in the area of initial contact, which is assumed to be unchanged over time. In contrast to the previous articles (Parts I and II), in this papers there is an investigation of the strain-stress state, the fields of the Odquist parameter and normal stresses depending on the material of the first (upper) layer.

References

Bogdanov V.R., Sulim G.T. (2016). Determination of the material fracture toughness by numerical analysis of 3D elastoplastic dynamic deformation. Mechanics of Solids, 51(2), 206-215; DOI 10.3103/S0025654416020084.

Bogdanov V.R., Sulym G.T. (2012). The plane strain state of the material with stationary crack with taking in account the process of unloading. Mathematical Methods and Physicomechanical Fields, Lviv, 55, Nr. 3, 132-138 (in Ukrainian).

Bohdanov V.R., Sulym G.T. (2011). Evaluation of crack resistance based on the numerical modelling of the plane strained state. Material Science, 46, No.6, 723-732.

Lokteva N.A., Serduk D.O., Skopintsev P.D., Fedotenkov G.J. (2020). Non-stationary stress-deformed state of a composite cylindrical shell. Mechanics of Composite Materials and Structures, 26(4), 544-559, DOI:10.33113/mkmk.ras.2020.26.04.544_559.08 (in Russian).

Kuznetsova E.L., Tarlakovsky D.V., Fedoten-kov G.J., Medvedsky A.L. (2013). Influence of non-stationary distributed load on the surface of the elastic layer. Works MAI, 71, 1-21 (in Russian).

Bogdanov V.R. (2018). Impact a circular cylin-der with a flat on an elastic layer. Transfer of Innovative Technologies, Vol.1(2), 68-74, DOI: 10.31493/tit1812.0302.

Bogdanov V.R. (2022). Problem of plane strain state of two-layer body in dynamic elastic-plastic formulation. Part I. Underwater Technol-ogies, Kyiv, 2022, No.12, 3-14. DOI: 10.32347/uwt.2022.12.1101.

Bogdanov V.R. (2022). Problem of plane strain state of two-layer body in dynamic elastic-plastic formulation. Part II. Underwater Technologies, Kyiv, 2022, No.12, 15-23. DOI: 10.32347/uwt.2022.12.1102.

Kachanov L.M. (1969). Fundamentals of the theory of plasticity. Nauka, Moscow, 420 (in Russian).

Collection: Theory of plasticity IL (1948). Moscow, 460 (іn Russian).

Mahnenko V.I. (1976). Computational methods for studying the kinetics of welding stresses and deformations. Naukova Dumka, Kiev, 320 (in Russian).

Boli B., Waner G. (1964). Theory of thermal stresses. Mir, Мoscow, 360 (in Russian).

Hemming R.V. (1972). Numerical methods. Nauka, Moscow, 399 (in Russian).

Zukina E.L. (2004). Conservative difference schemes on non-uniform grids for a two-dimensional wave equation. Work of N.I. Lobachevski Math. Centre, Kazan, Vol.26, 151-160 (in Russian).

Weisbrod G., Rittel D. (2000). A method for dynamic fracture toughness determination using short beams, International Journal of Fracture, No.104, 89-103.

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Published

2023-04-26

How to Cite

Bogdanov, V. (2023). Problem of plane strain state of two-layer body in dynamic elastic-plastic formulation (Part III). Transfer of Innovative Technologies, 5(1), 62–70. https://doi.org/10.32347/tit.2022.51.0302

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Information Technology