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oai:www.ideals.illinois.edu:2142/83896 2023-07-11 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

Tortorelli, Daniel A. Bellur Ramaswamy, Ravi S. 2015-09-25T21:12:38Z 2015-09-25T21:12:38Z 10000-01-01 2007 2007 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. Made available in DSpace on 2015-09-25T21:12:38Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3301103.pdf: 1929547 bytes, checksum: 45a00b6e957410d4cb90f1f34e5552f8 (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 85177 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 87 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/83896 (MiAaPQ)AAI3301103 eng Applied Mechanics Interface-Tracking by the Face-Offsetting Method for Martensitic Transformation Simulations text Mechanical Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.