Phase‐field modeling of martensitic phase transformations in polycrystals coupled with crystal plasticity – A spectral‐based approach. Issue 1 (21st October 2015)

• Record Type: Journal Article
• Authors: Kochmann, Julian; Wulfinghoff, Stephan; Svendsen, Bob; Reese, Stefanie
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 15:Issue 1(2015)
• Page Start: 317
• Page End: 318
• Publication Date: 2015-10-21
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201510149
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: The purpose of this work is the phase‐field modeling of fcc‐to‐bcc martensitic phase transformations in polycrystals and the coupling with crystal plasticity. Assuming microscopic periodic fields, Green‐function‐ and fast Fourier transform (FFT)‐methods are used to solve the quasi‐static balance of linear momentum. The Allen‐Cahn evolution equation is discretized based on a semi‐implicit time integration scheme in Fourier space. Two‐dimensional results are presented and the interplay between martensitic phase transformation and plastic slip is studied at different stages of the deformation. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)