Finite element analysis of magneto-mechanical coupled phenomena in magnetostrictive materials

Besbes, Mondher; Ren, Zhuoxiang; Razek, A.

doi:10.1109/20.497423

Cited by 48 publications

(32 citation statements)

References 3 publications

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“…Similar 2-D FEM models were reported in [14], [146], [54]. The last reference inserted experimental magnetostrictive curve data into the tangent stiffness matrix.…”

Section: Magnetostrictive Interactionmentioning

confidence: 76%

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Multiphysics and Thermodynamic Formulations for Equilibrium and Non-equilibrium Interactions: Non-linear Finite Elements Applied to Multi-coupled Active Materials

Pérez-Aparicio

Palma

Taylor

2015

Arch Computat Methods Eng

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Combining several theories this paper presents a general multiphysics framework applied to the study of coupled and active materials, considering mechanical, electric, magnetic and thermal fields. The framework is based on thermodynamic equilibrium and nonequilibrium interactions, both linked by a two-temperature model.The multi-coupled governing equations are obtained from energy, momentum and entropy balances; the total energy is the sum of thermal, mechanical and electromagnetic parts. The momentum balance considers mechanical plus electromagnetic balances; for the latter the Abraham representation using the Maxwell stress tensor is formulated. This tensor is manipulated to automatically fulfill the angular momentum balance. The entropy balance is formulated using the classical Gibbs equation for equilibrium interactions and non-equilibrium thermodynamics. For the non-linear finite element formulations, this equation requires the transformation of thermoelectric coupling and conductivities into tensorial form.The two-way thermoelastic Biot term introduces damping: thermomechanical, pyromagnetic and pyroelectric converse electromagnetic dynamic interactions. Ponderomotrix and electromagnetic forces are also considered.The governing equations are converted into a variational formulation with the resulting four-field, multicoupled formalism implemented and validated with two custom-made finite elements in the research code FEAP. Standard first-order isoparametric eight-node elements with seven degrees of freedom (dof) per node (three displacements, voltage and magnetic scalar potentials plus two temperatures) are used. Non-linearities and dynamics are solved with Newton-Raphson and Newmark-β algorithms, respectively.Results of thermoelectric, thermoelastic, thermomagnetic, piezoelectric, piezomagnetic, pyroelectric, pyromagnetic and galvanomagnetic interactions are presented, including non-linear dependency on temperature and some second-order interactions.

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“…Similar 2-D FEM models were reported in [14], [146], [54]. The last reference inserted experimental magnetostrictive curve data into the tangent stiffness matrix.…”

Section: Magnetostrictive Interactionmentioning

confidence: 76%

“…21. According to the energy balance (14), the total energy is unique and can be expressed by the following left expression…”

Section: Energy Balancementioning

confidence: 99%

Multiphysics and Thermodynamic Formulations for Equilibrium and Non-equilibrium Interactions: Non-linear Finite Elements Applied to Multi-coupled Active Materials

Pérez-Aparicio

Palma

Taylor

2015

Arch Computat Methods Eng

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“…2) [2]. Data handling is easier for one sub-problem and it allows the use of numerically adapted codes, thus improving the global accuracy.…”

Section: -P1mentioning

confidence: 99%

Multi-physics problems computation using numerically adapted meshes: application to magneto-thermo-mechanical systems

Journeaux

Bouillault

Roger

2013

Eur. Phys. J. Appl. Phys.

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Abstract. In physical systems, interactions between phenomena of different nature, generally coupled to each other, are often involved. Their comprehensive study requires the use of various physical models sharing a unique set of physical quantities. In an effort to correctly model these systems, numerical methods are frequently used. However, computational tools dedicated to such a specific scope of use are barely available. Furthermore, unsuited numerical discretization and high memory costs are two major drawbacks limiting the use of coupled numerical models. We present in this paper a global method which enables the independent use of existing computational tools, the numerical adaption to each physical model and the reduction of the memory use. This method has resorted to a unique discretization and topology for each physical model. The link between these independent models is ensured by the projection of quantities common to them. Thus computational tools, originally not intended to operate together, can be used again. After a theoretical description of the projection method, we will present successive application to discretizations of different nature. Thus, numerical efficiency of the projections in themselves will be tested. Because of the large range of combination of physical models, additional tests will be carried out in order to determine the most accurate coupling flowchart. A highly coupled problem, involving three different physical models, will be presented using the projection method. Results show a significant gain in flexibility and cuts in memory costs. Present test-cases reveal that accuracy is of same order as the one obtained using dedicated tools.

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“…This makes them very customisable solution procedures in terms of solving coupled problems and are therefore used by many commercial multiphysics codes, such as COMSOL [7]. However, these approaches are typically less robust than the Newton-Raphson (NR) method (see monolithic solvers below) and are very sensitive to guesses in the fields [209,128,33]. Furthermore, they typically require a large number of iterations to solve, which can be significantly decreased by the quadratically converging Newton-Raphson scheme, particularly in the case of non-linear multifield problems.…”

Section: Partitioned Solversmentioning

confidence: 99%

“…This must be accompanied by the associated (Sommerfeld) radiation condition 32) and can be rewritten in terms of the ∇ operator as 33) which describes the decay behaviour of the field away from the radiation source.…”

Section: Acoustic Helmholtz Wave Equationmentioning

confidence: 99%

A High Order Finite Element Coupled Multi-Physics Approach To MRI Scanner Design

Bagwell¹

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Finite element analysis of magneto-mechanical coupled phenomena in magnetostrictive materials

Cited by 48 publications

References 3 publications

Multiphysics and Thermodynamic Formulations for Equilibrium and Non-equilibrium Interactions: Non-linear Finite Elements Applied to Multi-coupled Active Materials

Multiphysics and Thermodynamic Formulations for Equilibrium and Non-equilibrium Interactions: Non-linear Finite Elements Applied to Multi-coupled Active Materials

Multi-physics problems computation using numerically adapted meshes: application to magneto-thermo-mechanical systems

A High Order Finite Element Coupled Multi-Physics Approach To MRI Scanner Design

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