Magnetomechanics, Boundary
Use the Magnetomechanics, Boundary () coupling to model interaction between magnetic fields and deformable shells and membranes. It can be used to model cases with or without induction currents, depending on which magnetic field physics interface is used. Thus Magnetic Fields or Magnetic Fields, No Currents interfaces can be used and coupled with either structural Shell or Membrane interfaces. The coupling can also handle large structural deformations which can significantly affect the magnetic field distribution
The following study types are supported:
The interaction is related to the action of the magnetics Maxwell stress which is a quantity that is quadratic in terms of magnetics fields. Therefore, to perform either eigenfrequency of frequency domain analysis, the presence of a stationary bias magnetic field will be needed. Thus, only Frequency-Domain Perturbation study type is supported for frequency domain computations. You can use one of the following predefined studies which will include a stationary step to compute the bias state:
The presence of this multiphysics node in the model will enforce the Include geometric nonlinearity option on all applicable study nodes.
Settings
The Label is the multiphysics coupling feature name. The default Label (for the first multiphysics coupling feature in the model) is Magnetomechanics, Boundary 1.
The Name is used primarily as a scope prefix for variables defined by the coupling node. Refer to such variables in expressions using the pattern <name>.<variable_name>. In order to distinguish between variables belonging to different coupling nodes or physics interfaces, the name string must be unique. Only letters, numbers, and underscores (_) are permitted in the Name field. The first character must be a letter.
The default Name (for the first multiphysics coupling feature in the model) is mmfb1.
Coupled interfaces
This section defines the physics interfaces involved in this multiphysics coupling. The Thin structure and Magnetic Fields lists include all applicable physics interfaces.
The default values depend on how the coupling node is created.
If it is added from the Physics ribbon (Windows users), Physics contextual toolbar (macOS and Linux users), or context menu (all users), then the first physics interface of each type in the component is selected as the default.
If it is added automatically when the physics interface is chosen in the Model Wizard or Add Physics window, then the two participating physics interfaces are selected.
You can also select None from either list to uncouple the coupling from a physics interface. If the physics interface is removed from the Model Builder, for example Membrane is deleted, then the Thin structure list defaults to None as there is nothing to couple to.
Boundary Selection
All applicable boundaries are selected automatically. Such domains represent an intersection of the applicable boundaries for the physics interfaces selected in the coupling feature.
In the Shell interface, the following boundary material features are applicable:
Linear Elastic Material
In the Membrane interface, the following boundary material features are applicable:
Linear Elastic Material
Nonlinear Magnetostrictive Material
Nonlinear Elastic Material (with the Nonlinear Structural Materials Module)
Hyperelastic Material (with the Nonlinear Structural Materials Module)
In both the Magnetic Fields and Magnetic Fields, No currents interfaces, the following internal boundary conditions can be used for modeling thin layers:
Magnetic Shielding. This boundary condition supports both linear and nonlinear (BH curve) magnetization models within the layer. Use this option for modeling of thin layers of ferromagnetic materials such as iron or steel. Note however that this boundary condition is only applicable for stationary study.
Thin Law Permeability Gap. Use this option for modeling, for example, flexible thin layers of nonmagnetic material (such as plastic) separating domains of magnetic medium.
In addition, the Magnetic Fields interface provides on internal boundaries a Transition Boundary Condition that supports all study types. Use this option for modeling thin layers of conductive material such as metals. The material can be also ferromagnetic. Note however that this boundary condition only supports linear magnetization model within the layer.
Lorentz Coupling
This section is available only if one of the coupled interfaces is Magnetic Fields.
Select the Only use Lorentz force checkbox in order to model the interaction by only applying the Lorentz surface force f = Js × B as the load on the structure. This option is useful when modeling thin layers of electrically conductive but nonmagnetic material such as aluminum or copper. The Lorentz force effect on a moving structure is similar to that of the Rayleigh alpha-damping, where the damping coefficient is proportional to the background magnetic field and the material electric conductivity.
The interaction will be limited to the boundaries, where the coupled Magnetic Fields interface defines surface current Js. The following features are included:
Transition Boundary Condition
Impedance Boundary Condition
Surface Current Density