000004819 001__ 4819
000004819 005__ 20141119144556.0
000004819 04107 $$aeng
000004819 046__ $$k2002-06-02
000004819 100__ $$aBhattacharya, Baidurya
000004819 24500 $$aASYMPTOTIC INDEPENDENCE OF MATERIAL FAILURE AT DIFFERENT SCALES – THE ROLE OF SMALL-SCALE FLUCTUATIONS

000004819 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004819 260__ $$bColumbia University in the City of New York
000004819 506__ $$arestricted
000004819 520__ $$2eng$$aMost materials are heterogeneous and aperiodic at micro and nanoscales; the properties, interaction etc. of the heterogeneities are random functions of space and time. An adequately detailed probabilistic description of the material microstructure is required for modeling material behavior and failure at all scales of interest. While it is possible to observe surfaces of solids down to nanometer resolutions, it remains a challenge to observe internal microstructural evolution in situ at a comparable resolution, and indirect methods are required for modeling small-scale stochastic damage phenomena. It is important to include both the spatial and the temporal aspects of the small-scale fluctuations. This paper proposes a general model of how the random material microstructure, composed of a matrix and embedded defects, evolves in time and space as a specimen is subjected to external actions. Local stationarity, strong mixing and dispersed extremes are assumed and the limiting distributions of the local average and the local maximum response are elicited. The asymptotic independence of extremal processes and hence failure (defined as first passage of a space-time process) at widely different scales is demonstrated.

000004819 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004819 653__ $$adamage, stochastic, point process, spatial, mixing, random field, scale dependent, extreme, failure, first passage

000004819 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004819 720__ $$aBhattacharya, Baidurya
000004819 8560_ $$ffischerc@itam.cas.cz
000004819 8564_ $$s180861$$uhttps://invenio.itam.cas.cz/record/4819/files/381.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004819 962__ $$r4594
000004819 980__ $$aPAPER