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Title:Interface-Tracking by the Face-Offsetting Method for Martensitic Transformation Simulations
Author(s):Bellur Ramaswamy, Ravi S.
Doctoral Committee Chair(s):Tortorelli, Daniel A.
Department / Program:Mechanical Engineering
Discipline:Mechanical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Applied Mechanics
Abstract:Understanding martensitic transformations (diffusionless, solid-solid phase transformations) is instrumental in the design of new low hysteresis alloys with unusual properties. Restricting attention to antiplane shear, we use finite element analysis to simulate the twinning (a special type of martensitic transformation) in a body-centered cubic (BCC) crystal within the Abeyaratne-Knowles continuum thermomechanical framework. Geometric singularities and topological changes associated with microstructural evolution pose significant numerical challenges. We address such challenges with enhancements to the recently developed front-tracking scheme called the face-offsetting method (FOM) In explicitly model phase interfaces. Results not only demonstrate the effectiveness of the FOM for resolving lenticular twinned microstructure with cusp-like tips but also question (a) the applicability of level-set methods for the simulation of martensitic transformations, and (b) the normal dependency of the interface kinetic constitutive relation as previously reported. Apart from demonstrating our model's capability to resolve topological changes like splitting and merging, we also model twinning in various crystallographically preferred BCC shear planes.
Issue Date:2007
Description:87 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
Other Identifier(s):(MiAaPQ)AAI3301103
Date Available in IDEALS:2015-09-25
Date Deposited:2007

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