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Information × Registration Number 0210U007800, 0110U001658 , R & D reports Title Developpement of investigation methods of physical-mechanical fields in multi-wedge composites with thin radial defects popup.stage_title Head Makhorkin Mykola Ihorovych, Registration Date 22-12-2010 Organization Pidstryhach Institute of Applied Problems of Mechanics and Mathematics NAS of Ukraine popup.description2 Using the method of statement of generalized functions the corresponding boundary-value problems of elasticity theory have been formulated in a general case, the solutions of which describe the distribution of stress and displacement fields and also thermal fields in multiwedge composite with radial inhomogeneities. Under longitudinal shear the expressions of stress and displacement fields in the vicinity of singular points of a multiwedge system have been presented in the form of complex integrals. The recursion relations to construct these fields’ asymptotics under conditions of a plane problem of elasticity theory have been written. In the case of anti-plane deformation the behavior of stress fields in the vicinity of convergence point of three wedges loaded by concentrated force and near the tips of a crack loaded by concentrated force (the crack is on the line of joining of two wedges) under conditions of the first and second boundary-value problem has been studied carefully. Under conditions of a plane problem of elasticity theory the distribution of normal stresses near the convergence point of two and three wedges has been studied. Besides for a two wedge system the distribution of specific density of potential energy of deformation has been analyzed. The procedure of using the direct method of cutting has been proposed to determine the stress-strain state in multiwedge composites with inhomogeneities. The procedure has been approved on studying the stress state near the crack arbitrary located in a homogeneous wedge. Utilizing the complex potentials, the expressions of distribution of temperature fields in multiwedge composite have been written. For a set of multiwedge systems the corresponding numerical data necessary to calculate analytically these integrals have been presented. Product Description popup.authors ВасільєвК.В. Зарицький С.В. Махоркін М.І. Ростун М.Й. popup.nrat_date 2020-04-02 Close