Green’s function and stress fields in stochastic heterogeneous continua

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Authors
Negi, Vineet
Issue Date
2017-05
Type
Electronic thesis
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Language
ENG
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Mechanical engineering
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Abstract
Many engineering materials used today are heterogenous in composition e.g. Composites – Polymer Matrix Composites, Metal Matrix Composites. Even, conven-tional engineering materials – metals, plastics, alloys etc. – may develop heterogenei-ties, like inclusions and residual stresses, during the manufacturing process. Moreover, these materials may also have intrinsic heterogeneities at a nanoscale in the form of grain boundaries in metals, crystallinity in amorphous polymers etc. While, the ho-mogenized constitutive models for these materials may be satisfactory at a macroscale, recent studies of phenomena like fatigue failure, void nucleation, size-dependent brittle-ductile transition in polymeric nanofibers reveal a major play of mi-cro/nanoscale physics in these phenomena. At this scale, heterogeneities in a material may no longer be ignored. Thus, this demands a study into the effects of various material heterogeneities.
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May 2017
School of Engineering
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Rensselaer Polytechnic Institute, Troy, NY
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