Differentiation of energy functionals in the problem of a curvilinear crack in a plate with a possible contact of the crack faces |
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| Authors: | E M Rudoy |
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| Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia;(2) Novosibirsk State University, Novosibirsk, 630090, Russia |
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| Abstract: | A problem of equilibrium of a cracked plate is considered within the framework of the Kirchhoff-Love model. Non-penetration
conditions in the form of inequalities (Signorini-type conditions) are set on the crack faces. The behavior of the energy
functional is studied for the case of a rather smooth perturbation of the domain of the general form. Sufficient conditions
for the existence of the energy functional derivative with respect to the parameter of domain perturbation are derived.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 5, pp. 153–168, September–October, 2008. |
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| Keywords: | elasticity crack Griffith criterion variational inequality energy functional derivative non-smooth domain |
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