Modeling the dynamic magneto-mechanical response of magnetic shape memory alloys based on Hamilton’s principle: The governing equation system

• Published in: Journal of the mechanics and physics of solids Vol. 160; p. 104761
• Main Authors: Wang, Jiong, Fan, Chengkai, Steinmann, Paul
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 01.03.2022; Elsevier BV
• Subjects: Constitutive modeling; Criteria; Dynamic response; Gallium; Hamilton's principle; Independent variables; Magnetic shape memory alloys; Manganese; Mathematical models; Maxwell's equations; Mechanical analysis; Nickel base alloys; Shape memory alloys; Single crystals; Variant reorientation; Dynamic response; Variant reorientation; Hamilton’s principle; Magnetic shape memory alloys; Constitutive modeling
• ISSN: 0022-5096; 1873-4782
• DOI: 10.1016/j.jmps.2021.104761

The governing equation system for modeling the high-frequency dynamic magneto-mechanical response of magnetic shape memory alloys (MSMAs) is formulated based on Hamilton’s principle. First, by taking the single-crystalline Ni-Mn-Ga alloy as a representative member of MSMAs, we introduce some constit...