Force elastic fields of local microdefects in strained polymers and composites based on them
Published: 08.10.2014
Authors: Valishin A.A., Mironova T.S.
Published in issue: #8(32)/2014
DOI: 10.18698/2308-6033-2014-8-1241
Category: Mathematic modeling | Chapter: Modeling in materials science
The article describes the mechanism of the elastic interaction between local microdefects, called holes, which are formed and accumulated in the area of forced elasticity in front of the crack fracture in polymers. We calculated the elastic fields of holes, their own elastic energy, interaction energy of holes and the strength of their pair interaction. It is shown that the interaction between the holes leads to the fact that each hole is surrounded by a cluster of smaller holes.
References
[1] Dimitrienko Yu.I., Sokolov A.P. Inzhenernyi zhurnal: nauka i innovatsii - Engineering Journal: Science and Innovation, 2013, iss. 1. Available at: http://engjournal.ru/catalog/mathmodel/material/427.html
[2] Dimitrienko Yu.I., Sokolov A.P. Matematicheskoe Modelirovanie - Mathematical Models and Computer Simulations, 2012, vol. 24, no. 5, pp. 320.
[3] Dimitrienko Yu.I., Sokolov A.P. Elastic properties of composite materials. Mathematical Models and Computer Simulations, 2010, vol. 2, no. 1, pp. 116-130.
[4] Dimitrienko Yu.I. Thermal stresses and heat mass-transfer in ablating composite materials. International Journal of Heat Mass Transfer, 1995, vol. 38, no. 1, pp. 139-146.
[5] Dimitrienko Yu.I. Thermal Stresses in Ablative Composite Thin-Walled Structures under Intensive Heat Flows. International Journal of Engineering Science, 1997, vol. 35, no. 1, pp. 15-31.
[6] Valishin A.A., Stepanov T.S. Inzhenernyi zhurnal: nauka i innovatsii - Engineering Journal: Science and Innovation, 2012, iss. 2. Available at: http://engjournal.ru/articles/52/52.pdf
[7] Valishin A.A., Mironova T.S. Inzhenernyi zhurnal: nauka i innovatsii - Engineering Journal: Science and Innovation, 2013, iss. 9(21). Available at: http://engjournal.ru/articles/1119/1119.pdf
[8] Looyehl M.R.E., Samanta A., Jihan S., McConnachie. Modeling of reinforced polymer composites subject to thermo-mechanical loading. International Journal for Numerical Methods in Engineering, 2005, vol. 63, no. 6, pp. 898-925.
[9] MeManns H.N., Springer G.S. High temperature thermomechanical behavior of carbon-phenolic composites: I Analysis, II Results. J. Composite Materials, 1992, vol. 26, pp. 206-255.
[10] Baia Yu, Valleea Till, Keller Thomas. Modeling of thermal responses for FRP composites under elevated and high temperatures. Composites Science and Technology, 2008, vol. 68, no. 1, pp. 47-56.
[11] Dimitrienko Yu.I. Nelineinaya mekhanika sploshnoy sredy [Nonlinear Continuum Mechanics]. Moscow, Fizmatlit, 2009, 624 p.
[12] Landau L.D., Lifshits E.M. Theory of elasticity. Moscow, Nauka Publ., 1978, 358 p.
[13] Dimitrienko Yu.I., Kashkarov A.I. VestnikMGTU im. N.E. Baumana - Herald of the Bauman Moscow State Technical University. Series: Natural sciences. 2002, no. 2, pp. 95-108.
[14] Teodosiu K. Uprugie modeli defektov v kristalakh [Elastic models of defects in crystals]. Moscow, Mir Publ., 1985, 352 p.
[15] Kosevich A.M. Osnovy mekhaniki kristallicheskoy reshetki [Fundamentals of mechanics of the crystal lattice]. Moscow, Nauka Publ., 1972, 203 p.