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IssuesArchive of Issues2007-5pp.723-736

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R. V. Goldstein and N. M. Osipenko, "Modeling of coating separation under thermomechanical loading in the beam approximation," Mech. Solids. 42 (5), 723-736 (2007)
Year 2007 Volume 42 Number 5 Pages 723-736
Title Modeling of coating separation under thermomechanical loading in the beam approximation
Author(s) R. V. Goldstein (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, goldst@ipmnet.ru)
N. M. Osipenko (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia)
Abstract The beam approximation is developed to solve some problems of fracture mechanics concerning the formation of separation of thin elastic coatings with allowance for the constraints acting on the connection boundaries and the influence of unsteady temperature actions.

The separation end region is modeled by an elastic beam loaded by an external bending moment and by force factors from the connection with the base. This region is subjected to thermoelastic stresses caused by a sudden variation in the temperature of the surface or the adhesive layer. We estimate how the effective fracture strength of the adhesive joint varies for various modes of application of affecting factors, including variations in material properties with temperature and across the coating thickness; we also study buckling phenomena and the kinetics of local fracture processes in the end region. The results can be used when choosing the parameters of an adhesive joint so as to ensure a given effective adhesion fracture strength of the joint.
References
1.  L. I. Slepyan, Crack Mechanics (Sudostroenie, Leningrad, 1990) [in Russian].
2.  V. M. Entov and R. L. Salganik, "On the Beam Approximation in Crack Theory," Izv. Akad. Nauk SSSR. Mechanics, No. 5, 95-102 (1965).
3.  V. V. Partsevskii, "Delaminations in Polymeric Composites: a Review," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 62-94 (2003) [Mech. Solids (Engl. Transl.)].
4.  R. V. Goldstein and N. M. Osipenko, "Beam Approximation in Problems of Delamination of Thin Coatings," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 154-163 (2003) [Mech. Solids (Engl. Transl.)].
5.  K. Hellan, Introduction to Fracture Mechanics (McGraw-Hill, New York, 1984; Mir, Moscow, 1998).
6.  G. P. Cherepanov, Mechanics of Brittle Fracture (Nauka, Moscow, 1974) [in Russian].
7.  G. Parkus, Transient-State Thermal Stresses (Fizmatgiz, Moscow, 1963) [in Russian].
8.  W. Nowacki, Problems of Thermoelasticity (Pergamon Press, Oxford, 1962, Izd-vo AN SSSR, Moscow, 1962).
9.  V. R. Regel, A. I. Slutsker, and E. E. Tomashevskii, Kinetic Nature of Strength of Solids (Nauka, Moscow, 1974) [in Russian].
10.  G. P. Cherepanov, "On the Theory of Thermal Stresses in a Thin Bonding Layer," J. Appl. Phys. 78 (11), 6826-6832 (1995).
Received 08 January 2007
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