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IssuesArchive of Issues2009-1pp.158-164

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K. V. Kukudzhanov, "Study of failure of layered plates made of composites under impact contact loading," Mech. Solids. 44 (1), 158-164 (2009)
Year 2009 Volume 44 Number 1 Pages 158-164
DOI 10.3103/S0025654409010178
Title Study of failure of layered plates made of composites under impact contact loading
Author(s) K. V. Kukudzhanov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, kukudz@ipmnet.ru)
Abstract In the present paper, we study the strain and failure of a two-layer plate each of whose layers is made of a composite material. The layers have mutually perpendicular directions of fiber reinforcement. The plate is impacted by a rigid hammer. The layer composite material is modeled by anisotropic elastoviscoplastic damageable media according to two different (one-velocity and two-velocity) models. We propose to use the two-scale theory of fracture of the composite material. The problem is solved numerically by the method of spatial characteristics. This method permits correctly satisfying the boundary and contact conditions and correctly taking into account the material anisotropy in the difference approximation. We show that the one-velocity model increases the degree of plate fracture compared with the two-velocity model, which takes the stress waves dispersion into account. This can be explained by the fact that the stress field in the unloading wave spreads owing to the microinhomogeneity of the composite layers.
References
1.  K. V. Kukudzhanov, "Dynamic Deformation and Fracture of Inelastic Laminated Composites," Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 4, 87-98 (1997) [Mech. Solids (Engl. Transl.) 32 (4), 76-85 (1997)].
2.  K. V. Kukudzhanov, "A Two-Velocity Model of Elasto-Visco-Plastic Deformation of Composite Materials," Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 5, 74-86 (2001) [Mech. Solids (Engl. Transl.) 36 (5), 56-66 (2001)].
3.  K. V. Kukudzhanov, "Investigation of Dispersion of Elastic Waves in Composites Based on Two-Velocity Model," Problems of Strength and Plasticity, Mezh. VUZov. Sb., No. 67, 111-118 [in Russian].
4.  K. V. Kukudzhanov, "Propagation of One-Dimensional Elastoviscoplastic Waves in Composite Materials," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 165-174 (2007) [Mech. Solids (Engl. Transl.) 42 (1), 140-148 (2007)].
5.  Lubin J. (Editor), Reference Book in Composite Materials, (Mashinostroenie, Moscow, 1988) [in Russian].
6.  V. P. Tamuzh and V. S. Kuksenko, Micromechanics of Failure of Polymer Materials (Zinatne, Riga, 1978) [in Russian].
7.  L. J. Cohen and H. M. Berkowitz, "Dynamic Fracture of a Quartz-Phenolic Composites under Stress Wave Loading in Uniaxial Strain," J. Franklin Inst. 293, 25-45 (1972).
8.  R. L. Salganik, "Mechanics of Bodies with Many Cracks," Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 149-158 (1973) [Mech. Solids (Engl. Transl.) 8 (4) 135-143 (1973)].
9.  K. V. Kukudzhanov, "Numerical Method for Solving Equations of Dynamics of Orthotropic Elastic and Elastoviscoplastic Media," Dep. VINITI AN SSSR 20.07.1989.
Received 23 April 2008
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