000015176 001__ 15176
000015176 005__ 20161115100213.0
000015176 04107 $$aeng
000015176 046__ $$k2016-08-21
000015176 100__ $$aDorfmann, Luis
000015176 24500 $$aModeling of Residually Stressed Materials

000015176 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015176 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015176 506__ $$arestricted
000015176 520__ $$2eng$$aStresses that are present in a material body in the absence of any applied loads (either body forces or surface tractions) are referred to as residual stresses. To effectively model the elastic response, relative to a residually stressed configuration, the residual stresses need to be incorporated into the constitutive equations. In this talk we provide an overview of the basic equations required to present a general elastic, invariant-based anisotropic constitutive formulation that includes residual stress. We summarize a three-dimensional incremental formulation appropriate for the implementation of the theory in a nonlinear finite element code. For numerical purposes the general constitutive formulation is specialized to a simple prototype model and a simple representation of the residual stress distribution is adopted. As well as possessing anisotropy associated with residual stresses in its unloaded (reference) configuration, the considered material has anisotropy corresponding to two preferred directions that are identified with the orientations of two families of fibers. To validate the theory and its implementation the wall stress distribution in an abdominal aortic aneurysm (AAA) using patient specific geometry and material model parameters is evaluated. The method presented in this talk is general and can be used, by specifying appropriate energy functions, to investigate other residually stressed biological systems.

000015176 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015176 653__ $$a

000015176 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015176 720__ $$aDorfmann, Luis
000015176 8560_ $$ffischerc@itam.cas.cz
000015176 8564_ $$s69730$$uhttps://invenio.itam.cas.cz/record/15176/files/TS.SM04-5.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1943, code TS.SM04-5.05
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000015176 962__ $$r13812
000015176 980__ $$aPAPER