Calibrated localization relationships for elastic polycrystalline aggregates

Yabansu, Yuksel C.

Title:

Calibrated localization relationships for elastic polycrystalline aggregates

dc.contributor.advisor	Kalidindi, Surya R.
dc.contributor.author	Yabansu, Yuksel C.
dc.contributor.committeeMember	Neu, Richard W.
dc.contributor.committeeMember	Pierron, Olivier
dc.contributor.committeeMember	Antoniou, Antonia
dc.contributor.committeeMember	Garmestani, Hamid
dc.contributor.department	Mechanical Engineering
dc.date.accessioned	2017-06-07T17:39:42Z
dc.date.available	2017-06-07T17:39:42Z
dc.date.created	2017-05
dc.date.issued	2017-02-14
dc.date.submitted	May 2017
dc.date.updated	2017-06-07T17:39:42Z
dc.description.abstract	Multiscale modeling of material systems demands novel solution strategies to simulating physical phenomena that occur in a hierarchy of length scales. Majority of the current approaches involve one way coupling such that the information is transferred from a lower length scale to a higher length scale. To enable bi-directional scale-bridging, a new data-driven framework called Materials Knowledge System (MKS) has been developed recently. The remarkable advantages of MKS in establishing computationally efficient localization linkages (e.g., spatial distribution of a field in lower length scale for an imposed loading condition in higher length scale) have been demonstrated in prior work. In prior work, the viability and computational advantages of the MKS approach were demonstrated in a number of case studies involving multiphase composites, where the local material state in each spatial bin of the volume element was permitted to be any one of a limited number of material phases (i.e., restricted to a set of discrete local states of the material). As a major extension, the MKS framework has been extended for polycrystalline aggregates which need to incorporate crystal lattice orientation as a continuous local state. Another important extension of the MKS approach that permits calibration of the influence kernels of the localization linkages for an entire class of low to moderate contrast material systems will also be presented. This major extension of the MKS framework for elastic deformation of polycrystals is achieved by employing compact Fourier representations of functions defined in the crystal orientation space. The viability of this new formulation will be presented for several case studies involving single and multi-phase polycrystals.
dc.description.degree	Ph.D.
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/1853/58234
dc.language.iso	en_US
dc.publisher	Georgia Institute of Technology
dc.subject	Materials knowledge system
dc.subject	Multi-scale modeling
dc.subject	Localization relationships
dc.subject	Generalized spherical harmonics
dc.subject	Polycrystal
dc.title	Calibrated localization relationships for elastic polycrystalline aggregates
dc.type	Text
dc.type.genre	Dissertation
dspace.entity.type	Publication
local.contributor.advisor	Kalidindi, Surya R.
local.contributor.corporatename	George W. Woodruff School of Mechanical Engineering
local.contributor.corporatename	College of Engineering
relation.isAdvisorOfPublication	e5ad79b6-4761-4f35-86c3-0890d432fe44
relation.isOrgUnitOfPublication	c01ff908-c25f-439b-bf10-a074ed886bb7
relation.isOrgUnitOfPublication	7c022d60-21d5-497c-b552-95e489a06569
thesis.degree.level	Doctoral