000004633 001__ 4633
000004633 005__ 20141119144540.0
000004633 04107 $$aeng
000004633 046__ $$k2002-06-02
000004633 100__ $$aHavner, Kerry S.
000004633 24500 $$aAN ANALYTICAL INVESTIGATION OF NECKING IN THE TENSILE TEST

000004633 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004633 260__ $$bColumbia University in the City of New York
000004633 506__ $$arestricted
000004633 520__ $$2eng$$aA very small inhomogeneity in macroscopic material properties is considered for the investigation of necking of a (polycrystalline) bar in the tensile test. A simple, one-dimensional model is adopted (i.e. spatial variation only along the bar’s length), corresponding to which the evolving nonuniformity of crosssectional area with increasing load, up to the maximum, also is small. The inhomogeneity is represented by a single modulus varying slightly with position, but with the same dimensionless form of the stress-strain curve throughout. A transcendental equation is derived that relates the strains at the weakest and strongest sections to their respective material strengths. It is shown that, at the well known Considère strain (corresponding to the maximum load), the decrease in area at the minimum section is only a little greater than at the strongest, but its rate of change with the latter strain is infinite. The analysis thus gives an idealized representation of the rapid increase in necking that typically ensues from the maximum load in experiments.

000004633 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004633 653__ $$a

000004633 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004633 720__ $$aHavner, Kerry S.
000004633 8560_ $$ffischerc@itam.cas.cz
000004633 8564_ $$s43094$$uhttps://invenio.itam.cas.cz/record/4633/files/092.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004633 962__ $$r4594
000004633 980__ $$aPAPER