000004712 001__ 4712
000004712 005__ 20141119144547.0
000004712 04107 $$aeng
000004712 046__ $$k2002-06-02
000004712 100__ $$aPiltner, Reinhard
000004712 24500 $$aMIXED FINITE ELEMENTS WITH VOIDS AND INCLUSIONS

000004712 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004712 260__ $$bColumbia University in the City of New York
000004712 506__ $$arestricted
000004712 520__ $$2eng$$aFor stress concentrations around voids and inclusions, one can derive appropriate stress and strain functions, which characterize the local fields very well, and use them for special problem adapted finite elements. For linear problems, such stress and strain functions can be obtained from complex solution representations. The functions can be derived in such a way that the equilibrium equations and the boundary conditions on the void surface or the continuity conditions along the matrix/inclusion boundary are satisfied a priori. For special finite elements with voids and inclusions, piecewise linear or quadratic boundary displacements have to be assumed for an appropriate coupling with other finite elements. There has to be a balance between the number of stress/strain parameters and the nodal displacements of the special elements with built-in voids or inclusions. The outer boundary of a twodimensional special finite element can be a polygon, and for the three-dimensional case the element boundary can be chosen as a polyhedron. 

000004712 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004712 653__ $$aspecial problem adapted finite elements, hybrid Trefftz elements.

000004712 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004712 720__ $$aPiltner, Reinhard
000004712 8560_ $$ffischerc@itam.cas.cz
000004712 8564_ $$s79967$$uhttp://invenio.itam.cas.cz/record/4712/files/212.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004712 962__ $$r4594
000004712 980__ $$aPAPER