000014364 001__ 14364
000014364 005__ 20161115100149.0
000014364 04107 $$aeng
000014364 046__ $$k2016-08-21
000014364 100__ $$aRezaei Mianroodi, Jaber
000014364 24500 $$aComparison of methods for discontinuous and smooth inhomogeneous elastostatics

000014364 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014364 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014364 506__ $$arestricted
000014364 520__ $$2eng$$aIn this work, a number of computational methods for the numerical solution of boundary-value problems (BVPs) for inhomogeneous elastostatics are investigated and compared. This includes algorithmic formulations, discretization methods, and numerical solution schemes. The inhomogeneity of interest is the classic case of an inclusion embedded in a matrix. Both discontinuous (i.e., classic) and smooth stiffness distributions are treated, the latter via phase-field modeling of the matrix-inclusion composite as a two-phase system. For simplicity, attention is restricted to the strong form of mechanical equilibrium. With the help of the analytic solutions in the one-dimensional context, a number of principle issues related to numerical solution of the BVP are investigated. Besides being of interest in its own right, the general lack of commutativity of differentiation and interpolation motivates as well the investigation and comparison of both displacementand the more classic strain-based algorithms. A number of examples will be discussed.

000014364 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014364 653__ $$a

000014364 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014364 720__ $$aRezaei Mianroodi, Jaber
000014364 8560_ $$ffischerc@itam.cas.cz
000014364 8564_ $$s76093$$uhttps://invenio.itam.cas.cz/record/14364/files/PO.SM15-1.12.205.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2951, code PO.SM15-1.12.205
.
000014364 962__ $$r13812
000014364 980__ $$aPAPER