The Solid Mechanics (Elastic Waves) Interface
The Solid Mechanics (Elastic Waves) interface (), found under the Acoustics>Elastic Waves branch () when adding a physics interface, is a shortcut to add the Solid Mechanics interface which is used to compute the displacement field in solids with propagating elastic waves. The Solid Mechanics interface supports studies in many forms, specifically the dynamic Navier’s equation is solved in the solid in the frequency domain. Dedicated Multiphysics Couplings exist to couple fluid, solid, and porous domains.
When this physics interface is added, these default nodes are also added to the Model Builder Linear Elastic Material, Free, and Initial Values. For 2D axisymmetric components, an Axial Symmetry node is also added. Features and boundary conditions are described in the Solid Mechanics documentation.
Scattered-Field Formulation for Elastic Waves. Application Library path Acoustics_Module/Elastic_Waves/scattered_field_elastic_waves
Elastic Cloaking with Polar Material. Application Library path Acoustics_Module/Elastic_Waves/elastic_cloaking
The Port Condition
The Solid Mechanics interface has functionality and features that are specifically tailored for elastic wave applications. The Port condition allows setting up conditions at the inlet/outlet of elastic waveguide structures that are mathematically consistent. Use the Port to set up nonreflecting conditions, which perform better than a PML, as every propagating modes are captured explicitly.
When the port condition is used, a Boundary Mode Analysis can be performed for the given cross section. The equations for solving the propagating modes are automatically added to the boundary. This analysis solves an eigenvalue problem for the out-of-plane wavenumber for a given frequency. The out-of-plane extension is added analytically to the governing equations. The analysis is also sometimes referred to as semianalytical finite elements or SAFE.
See the tutorial Mechanical Multiport System: Elastic Wave Propagation in a Small Aluminum Plate. Application Library path Acoustics_Module/Elastic_Waves/mechanical_multiport_system
Solving Elastic Wave Problems in the Time Domain
When solving elastic wave problems with the Solid Mechanics interface in the time domain, it is important to make changes to the Transient Solver Setting section. Expand the section and select the check box Maximum frequency to resolve, then enter the maximum frequency to resolve in the model fmax,sol. The maximum frequency is dictated by the frequency content of the source as well as the eigenmodes of the structure that can be excited. Setting this correctly will results in a transient solver tuned specifically for modeling wave problems.