Modeling of Single Crystal Magnetostriction Based on Numerical Energy Relaxation Techniques

Bjoern Kiefer, Karsten Buckmann, Thorsten Bartel, Andreas Menzel

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

This paper presents an energy relaxation-based approach for the modeling of single crystalline magnetic shape memor)) alloy response under general two-dimensional magnetomechanical loading. It relies on concepts of energy relaxation in the context of non-convex free energy landscapes whose wells define preferred states of straining and magnetization. The constrained theory of magnetoelasticity developed by DeSimone and James [1] forms the basis for the model development. The key features that characterize the extended approach are (i) dissipative effects, accounted for in an incremental variational setting, and (ii) finite magnetocrystalline anisotropy energy. In this manner, important additional response features, e.g. the hysteretic nature, the linear magnetization response in the prevariant reorientation regime, and the stress dependence of the maximum field induced strain, can be captured, which are prohibited by the inherent assumptions of the constrained theory. The enhanced modeling capabilities of the extended approach are demonstrated by several representative response simulations and comparison to experimental results taken from literature. These examples particularly focus on the response of single crystals under cyclic magnetic field loading at constant stress, and cyclic mechanical loading at constant magnetic field.
Original languageEnglish
Title of host publicationProceedings of the ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
PublisherAmerican Society Of Mechanical Engineers (ASME)
PagesSMASIS2014-7436
Volume1
ISBN (Print)978-0-7918-4614-8
DOIs
Publication statusPublished - 2014
Event7th Annual ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS) - Newport, RI
Duration: 2014 Sept 82014 Sept 10

Publication series

Name
Volume1

Conference

Conference7th Annual ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS)
Period2014/09/082014/09/10

Subject classification (UKÄ)

  • Applied Mechanics

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