000004930 001__ 4930
000004930 005__ 20141119144605.0
000004930 04107 $$aeng
000004930 046__ $$k2002-06-02
000004930 100__ $$aHodges, Dewey H.
000004930 24500 $$aINPLANE BUCKLING OF ANISOTROPIC RINGS

000004930 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004930 260__ $$bColumbia University in the City of New York
000004930 506__ $$arestricted
000004930 520__ $$2eng$$aInplane buckling of laminated rings is considered based on a non-linear theory for stretching and bending of geometrically and materially symmetric anisotropic beams having constant initial curvature in their plane of symmetry. The ring is formed by initially curving the laminated beam out of the plane of the laminate. For the kinematics, the geometrically exact one-dimensional (1-D) measures of deformation are specialized for small strain, and a 1-D constitutive law is developed via an asymptotically correct dimensional reduction of geometrically non-linear 3-D elasticity. The reduction assumes small strain and comparable magnitudes for the initial radius of curvature R and the wavelength of deformation along the beam reference line. Other small parameters include the ratio of cross-sectional thickness h to initial radius of curvature (h/R) and the ratio of cross-sectional thickness to cross-sectional width (h/b). In spite of a very simple final expression for the second variation of the total potential, it is shown that the only restriction on the validity of the buckling analysis is that the prebuckling strain remains small. The buckling load obtained exhibits features not found in published formulae. 

000004930 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004930 653__ $$abuckling, elastic stability, variational-asymptotic method, dimensional reduction, curved beam, ring

000004930 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004930 720__ $$aHodges, Dewey H.$$iHarursampath, Dineshkumar
000004930 8560_ $$ffischerc@itam.cas.cz
000004930 8564_ $$s416229$$uhttps://invenio.itam.cas.cz/record/4930/files/570.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004930 962__ $$r4594
000004930 980__ $$aPAPER