Viscosity solutions to a model for solid–solid phase transitions driven by material forces. (February 2018)

• Record Type: Journal Article
• Authors: Sheng, Wancheng; Zhu, Peicheng
• Is Part Of: Nonlinear analysis. Volume 39(2018)
• Page Start: 14
• Page End: 32
• Publication Date: 2018-02
• Subjects: Phase-field model -- Martensitic phase transitions -- Material forces -- Shape memory alloys -- Degenerate parabolic equation -- Global viscosity solutions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.05.003
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: A new phase-field model is formulated to describe martensitic phase transitions driven by material forces, in solid materials, e.g., shape memory alloys. This model is a nonlinear degenerate parabolic equation of second order and its principal part is not in divergence form in multi-dimensional case. The global existence of viscosity solutions to an initial–boundary value problem for this model is proved.