Interface-Tracking by the Face-Offsetting Method for Martensitic Transformation Simulations
Bellur Ramaswamy, Ravi S.
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/83896
Description
Title
Interface-Tracking by the Face-Offsetting Method for Martensitic Transformation Simulations
Author(s)
Bellur Ramaswamy, Ravi S.
Issue Date
2007
Doctoral Committee Chair(s)
Tortorelli, Daniel A.
Department of Study
Mechanical Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Language
eng
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.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
