000015466 001__ 15466
000015466 005__ 20161115100222.0
000015466 04107 $$aeng
000015466 046__ $$k2016-08-21
000015466 100__ $$aDjaka, Komlan, Senam
000015466 24500 $$aA FFT method for continuum dislocation mechanics with heterogeneous elasticity (INVITED)

000015466 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015466 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015466 506__ $$arestricted
000015466 520__ $$2eng$$aA Fast Fourier Transform (FFT) method is developed to solve the elasto-static equations of the field dislocation mechanics for periodic media with heterogeneous linear elasticity. After prescribing a Nye's dislocation density tensor, the incompatible and compatible parts of the elastic distortion are obtained, respectively, from the resolution of a Poisson-type equation and a Lippmann-Schwinger integral equation with incompatibilities. Both equations are solved through an iterative basic scheme based on intrinsic discrete Fourier transforms with centered and rotated finite difference schemes, respectively. For a single pixel regularization of the dislocation density within the dislocation core, the elastic fields due to dislocations with elastic heterogeneities are accurately obtained by the present method without Gibbs oscillations.

000015466 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015466 653__ $$a

000015466 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015466 720__ $$aDjaka, Komlan, Senam
000015466 8560_ $$ffischerc@itam.cas.cz
000015466 8564_ $$s309499$$uhttps://invenio.itam.cas.cz/record/15466/files/TS.SM15-1.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2853, code TS.SM15-1.01
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000015466 962__ $$r13812
000015466 980__ $$aPAPER