Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University466710.18287/2541-7525-2013-19-6-100-115INVARIANT INTEGRALS IN EQUILIBRIUM PROBLEM FOR A TIMOSHENKO TYPE PLATE WITH THE SIGNORINI TYPE CONDITION ON THE CRACKLazarevN.P.morenov.sv@ssau.ruNorth-Eastern Federal University020620131961001150206201702062017Copyright © 2013, Lazarev N.2013The equilibrium problem for the elastic Timoshenko type plate with a crack is considered. On the crack faces, the non-penetration conditions of inequality type (Signorini type conditions) are given. It is proved that there exist invariant integrals that are equal to the derivative of the energy functional with respect to perturbation parameter.crack, Timoshenko-type plate, variational problem, non-penetration conditionтрещина, пластина Тимошенко, вариационная задача, условие непроникания.