The Elastic Wave, Time Explicit interface (
), found under the
Acoustics>Elastic Waves branch (
) when adding a physics interface, is used to model the transient propagation of elastic waves in linear elastic materials. It is used to compute the velocity and strain field in solids with propagating elastic waves. It is suited for time-dependent simulations with arbitrary time-dependent sources and fields. In general, the interface is suited for modeling the propagation of elastic waves over large distances relative to the wavelength, for example, ultrasound propagation for nondestructive testing (NDT), or seismic waves. The dedicated
Fracture condition is useful for many of these applications. The interface includes absorbing layers that are used to set up effective nonreflecting like boundary conditions (sponge layers).The interface exists in 2D, 2D axisymmetric, and 3D.
When the Elastic Wave, Time Explicit interface is added, these default nodes are also added to the
Model Builder:
Elastic Wave, Time Explicit Model,
Free, and
Initial Values.
Then, from the Physics toolbar, add other nodes that implement, for example, boundary conditions and sources. You can also right-click
Elastic Wave, Time Explicit to select physics features from the context menu.
The Label is the default physics interface name.
The Name is used primarily as a scope prefix for variables defined by the physics interface. Refer to such physics interface variables in expressions using the pattern
<name>.<variable_name>. In order to distinguish between variables belonging to different 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 physics interface in the model) is
elte.
To display this section, click the Show More Options button (
) and select
Advanced Physics Options in the
Show More Options dialog box. In the
Filter Parameters for Absorbing Layers section you can change and control the values set for the filter used in the
Absorbing Layers in Elastic Waves, Time Explicit. The values of the filter parameters defined here are used in all absorbing layers added to the model and they override the value of filter parameters enabled in the material model (
Elastic Waves, Time Explicit Model). The default values of the filter parameters
α,
ηc, and
s are set to 0.2, 0.01, and 2, respectively. Inside the absorbing layer, it is important to use a filter that is not too aggressive since this will result in spurious reflections.
The out-of-plane components of the velocity and the strain are not computed per default in 2D. This can be changed by selecting Include out-of-plane components check box. It can be relevant in some cases, for example for anisotropic materials, where the out-of-plane velocity may become different from zero for in-plane loads. This formulation is often referred to as 2.5D. Note that this comes at an extra computational cost.
Enter a value for the thickness d. The default value is
1[m], which represents a unit-thickness slice. Make sure that the same thickness assumption is used everywhere when you manually combine the Elastic Waves, Time Explicit interface with other physics interfaces that have an explicit thickness property. When using other unit systems than the default SI system, you need to pay special attention to the values of this property.
Enter the Maximum frequency to resolve fmax (the default is
1000[Hz]). This value is used to set up the physics-controlled mesh for the Elastic Waves, Time Explicit interface.
In this section you can select the discretization for the Structural velocity and
Strain tensor, Voigt notation. Per default both are set to
Quartic (4th order). Using quartic elements together with a mesh size equal to approximately half the wavelength to be resolved, leads to the best performance when using the dG method.
The dependent variables (field variables) are the Structural velocity and
Structural velocity,
components, and the
Strain tensor, Voigt notation and
Strain tensor, Voigt notation, components. The names can be changed, but the names of fields and dependent variables must be unique within a model.