2010
DOI: 10.1109/tmag.2010.2044148
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FEM for Directly Coupled Magneto-Mechanical Phenomena in Electrical Machines

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Cited by 67 publications
(46 citation statements)
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“…Based on [11] and [12] constitutive equations for coupling the magnetic and elastic properties of the material are derived from a Helmholtz free energy density . In case of a magnetoelastic material this energy is a function of magnetic flux density B and strain tensor  and can be expressed by using the following five invariants as …”
Section: Methodsmentioning
confidence: 99%
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“…Based on [11] and [12] constitutive equations for coupling the magnetic and elastic properties of the material are derived from a Helmholtz free energy density . In case of a magnetoelastic material this energy is a function of magnetic flux density B and strain tensor  and can be expressed by using the following five invariants as …”
Section: Methodsmentioning
confidence: 99%
“…The obtained nonlinear system can be solved by Newton-Raphson method iteratively. The detailed implementation of the model to the FEM can be found in [11] and [12]. The strain and the magnetic flux density are then obtained as…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The derivation for this energy and justification for the model are described in [9][10][11][12][13] and for this reason are not recalled here. However, six parameters (denoted α 0 ... α 5 ) will arise from the derivation of the model and need to be identified such as discussed in [12].…”
Section: Methodsmentioning
confidence: 99%
“…Extension to the coupled magnetomechanical model described in [2] is needed. In this model the reversible behaviour is described by a special choice of the specific Helmholtz free energy, expressed in terms of the invariants forming the integrity basis of a scalar function depending on a symmetric second order tensor and a vector, i.e.…”
Section: Modelling Aspectsmentioning
confidence: 99%