000015167 001__ 15167
000015167 005__ 20161115100213.0
000015167 04107 $$aeng
000015167 046__ $$k2016-08-21
000015167 100__ $$aBellis, Cédric
000015167 24500 $$aConverting strain maps into elasticity maps for materials with small contrast

000015167 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015167 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015167 506__ $$arestricted
000015167 520__ $$2eng$$aThis study focuses on the quantitative reconstruction of heterogeneous distributions of isotropic elastic moduli from full strain field data. A local reconstruction procedure is developed here for materials with small contrast. Within the framework of the integral formulation of the linear elasticity problem, first-order asymptotics are investigated. Properties of the featured infinite-body Green’s operator are studied to characterize its local and non-local contributions to the volume integral equations considered. On this basis, the combination of multiple strain field solutions corresponding to well-chosen applied macroscopic strains yields a set of local and uncoupled equations relating, respectively, bulk and shear moduli to the spherical and deviatoric components of the strain fields. Valid for any material configuration at first-order in the small contrast limit, such relations permit pointwise conversions of strain maps into elasticity maps. A set of examples illustrates the use of these local equations for parameters identification from full-field data.

000015167 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015167 653__ $$a

000015167 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015167 720__ $$aBellis, Cédric
000015167 8560_ $$ffischerc@itam.cas.cz
000015167 8564_ $$s172609$$uhttps://invenio.itam.cas.cz/record/15167/files/TS.SM04-4.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1925, code TS.SM04-4.02
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000015167 962__ $$r13812
000015167 980__ $$aPAPER