Based on the exact solutions of axisymmetric elasticity theory the stressed state analysis in the stratified bodies is performed in ellipsoidal holes neighborhood. The elastic medium modeling a stratified body is assumed to be homoge,!~ous and transversely isotropic.
At complete analysis of strength of elements of multilayer constructions with constructive excisions it is necessary to take into account presence of interlaminar stress stress in an environ of the excisions stipulated by a threedimensional tension of this zone. Interlaminar stress can reduc in destruction of a construction by stratification at loadings, is significant smaller limiting, corresponding to destruction in a plane of separate strahtms, and should be taken into account at projection. In the present operation for an estimation of interlaminar stress in plates with curvilinear nonloaded holes the numericalanalytical method [1], free from the above described limitations is ued. The method allows to examine in details a three-dimensional tension near to crimps of holes irrespective of sizes of a plate, and also to define sizes of a boundary layer. Keywords: interlaminar stress, a multilayer plate, a unidirectional stratum, finite elements, a boundary layer.Statement of problem The multilayer plate were in conditions of a monoaxial loading ( fig. 1) is considered. The plate made from N of stratums, has common width H and contains a curvilinear hole (the elliptic shape, in particular a round hole). Each stratum of a plate is considered homogeneous and orthotropic. Sizes of a plate are those, that do not influence a tension near to a hole. The tensile load on extemal crimps of a plate is affixed along an axis x in such a manner that the average tension in all plate is flat with stress o, o, ,y and can be defined from the analytical solution of flat anisotropic theory of elasticity. The tension near to a head loop{circuit) of a hole is three-dimensional, and on an element of a stratum, adjoining to a hole, stress ax, ay, z, x, , yz (r aJ az, ;tr ,rz, C) operate.Elastic performances of stratums from yrnxerujacria: E1=145GPa, E2=E3=l0.7GPa, G12=G13=4.5GPa, G23=3.6GPa, V12=VI3=0.31, V23=0.49.
The numerical-analytical method of the determination of the efficient elastic modules in composition material is offered. The material is prototyped by endless elastic medium with alike disjoint inclusions, located in nodes twodimensional or three-dimensional orthogonal of the lattice. On the first stage by method final element (FEM), considering periodic nature of the strain condition and connected with this particularities strained, are defined strain and displacement on border of the inclusion typical element. On second stage these given are used directly for calculation of the efficient modules by means of the energy method and principle Eshelby J. D., allowing define the energy elastic deformation in typical element by calculations integral on surfaces of the inclusion. The proposed method in equal degree efficient at decisions of the worded problems, both for isotropic, and for anisotropic ambiences (transversal-isotropic and orthotropic). The decisions are received for circular and elliptical inclusions in flat event, but in three-dimensional event for spherical and ellipsoidal of the inclusions.
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