000004644 001__ 4644
000004644 005__ 20141119144541.0
000004644 04107 $$aeng
000004644 046__ $$k2002-06-02
000004644 100__ $$aBourdin, Blaise A.
000004644 24500 $$aEXTREMAL LIGHT-WEIGHT MICROSTRUCTURES

000004644 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004644 260__ $$bColumbia University in the City of New York
000004644 506__ $$arestricted
000004644 520__ $$2eng$$aWe introduce a new class of high-porosity microstructures, called “single-scale laminates,” made from arrays of parallel walls. They are extremal, in the sense that no stiffer structure exists with the same total mass. They are simple, in the sense of being easy to describe, and perhaps to manufacture. And they are universal: for any high-porosity microstructure there is a single-scale laminate using at most as much material which is at least as stiff. Moreover, any nondegenerate high-porosity Hooke’s law can be bounded both above and below by a single-scale laminate of the same weight. We give a simple formula for the effective Hooke’s law of such a structure. It reduces the task of minimum-weight design in the high-porosity regime to a problem of linear programming. 

000004644 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004644 653__ $$aTopology optimization, extremal microstructures, Michell truss.

000004644 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004644 720__ $$aBourdin, Blaise A.$$iKohn, Robert V.
000004644 8560_ $$ffischerc@itam.cas.cz
000004644 8564_ $$s132428$$uhttps://invenio.itam.cas.cz/record/4644/files/108.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004644 962__ $$r4594
000004644 980__ $$aPAPER