Interface-Tracking by the Face-Offsetting Method for Martensitic Transformation Simulations

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Bellur Ramaswamy, Ravi S.

Contributors dc:contributor

• Tortorelli, Daniel A.

• Applied Mechanics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3301103

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83896