Dear Friends & Researchers,
I work as a Ph.D. researcher at TU-Delft, Netherlands and I am modeling nonlinear propagation of 3D elastic waves (Compressional and Shear waves) in the nonlinear elastic medium using the INCS method (please check the attached image showing equations). The ultimate aim of this model is to simulate the 3D compressional and shear displacements, evaluate the displacement fields, the nonlinear force terms (appears in RHS of nonlinear elastic wave equation) and capture the generation of higher harmonics by iteratively solving integral equations for wavefield. We have some preliminary numerical results and we are looking for the possible options to validate our 3D numerical model.
In this scenario, we are also open to collaboration with an external group to validate our model either numerically (using the FEM model or COMSOL or ABAQUS tool) or experimentally. And if possible, we can publish a journal paper together in this work.
I am also wondering if there are any 3D- analytical solutions available or can be derived for the above-mentioned case.
Any suggestions/ideas would be much appreciable. Thanks in advance.
For computational analysis (or numerical solutions), modeling or visualization, fist you need to concentrate on its linearization or model order reduction. See for example : http://hplgit.github.io/num-methods-for-PDEs/doc/pub/nonlin/sphinx/._main_nonlin003.html
and basics :http://www.cfm.brown.edu/people/dobrush/am34/Mathematica/ch3/linear.html
For this case, I suggest you COMSOL Multiphysics software for your validation.
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