000004622 001__ 4622
000004622 005__ 20141119144539.0
000004622 04107 $$aeng
000004622 046__ $$k2002-06-02
000004622 100__ $$aŞeremet, Victor D.
000004622 24500 $$aSOME NEW RESULTS IN CONSRUCTING OF 3-D GREEN’S MATRICES

000004622 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004622 260__ $$bColumbia University in the City of New York
000004622 506__ $$arestricted
000004622 520__ $$2eng$$aThis article describes a new method of how to construct effectively the Green’s Matrices in 3D theory of elasticity. The suggested method is based on the new general integral representations for Green’s matrices, their kernels being the Green’s functions for so called incompressible influence elements. I general cases of boundary conditions the problem of Green’s matrices construction leads to the boundary integral equations. As an example, the fist basic problem of the theory of elasticity is considered leading to the boundary integral equation of Liechtenstein’s type. For certain wide classes of the mixed problems in Cartesian co-ordinate one theorem is presented. This theorem expressed the Green’s matrices in a form of integral formulas containing only the Green’s functions for the Poisson’s equation. As examples of effective application of suggested method, two new boundary value problems for the octant and for semiwedge are solved. The Green’s matrices of these problems were obtained in elementary functions, that is very important for their numerical implementations. The suggested method can be developed for regions of any system of orthogonal curvilinear co-ordinates, both in elastostatics and elastodynamics, and as a result, the list of known Green’s matrices can be essentially enlarged.

000004622 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004622 653__ $$aGreen’s matrices, Influence element, Theorem

000004622 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004622 720__ $$aŞeremet, Victor D.
000004622 8560_ $$ffischerc@itam.cas.cz
000004622 8564_ $$s134383$$uhttp://invenio.itam.cas.cz/record/4622/files/073.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004622 962__ $$r4594
000004622 980__ $$aPAPER