Hysteresis in Functional Materials: From Physical Models to Numerical Simulation (Cism International Centre for Mechanical Sciences)

Kaltenbacher, Manfred (EDT)/ Pechstein, Astrid (EDT)

Springer Nature Switzerland AG（2026/01発売）

• 製本 Hardcover:ハードカバー版
• 言語 ENG
• 商品コード 9783032097637

Full Description

The book provides an overview of the physical phenomena in ferromagnetic and ferroelectric materials on the micro-scale, including the origin of domain structures, domain wall motion and magnetisation or polarization rotation. This discussion leads to multiscale and phenomenological macroscopic models which account for the hysteretic behaviour, followed by a detailed derivation of variational inequalities as the main mathematical tool in hysteresis modelling, hysteresis energy balance and continuous data dependence. Classical elasto-plasticity is used as an example application where thermodynamic potentials and dissipation functions are defined and their relationship to commonly used yield conditions and associated flow rules is shown. The concepts developed there provide the basis for modelling the ferroelectric material behaviour that occurs in piezoelectric ceramics, as well as ferromagnetic behaviour through scalar and vector hysteresis models. These models are complemented by efficient finite element strategies, and identification methods to determine the necessary material parameters in the hysteresis models based on measurements.

Contents

An introduction to mathematical modeling of hysteresis.- Thermodynamically consistent modeling of ferroelectricity and finite element formulations.- Multiscale approach for the electro-mechanical behaviour of ferroelectric ceramics.- Energy-based hysteresis model for ferromagnetic materials and efficient finite element formulation.- Multiscale approach for the magneto-mechanical behaviour of ferromagnetic materials.