Fracture mechanics problem using the phase-field method.
Abaqus: with UMAT and UEL.
As the name suggests COMSOL Multiphysics is capable of handling multiphysical modelling and has a very user friendly UI. Here is an application example from their site but I'm sure there are others: https://www.comsol.com/model/single-edge-crack-988
Definitely, COMSOL as others pointed out.
You can also try with ANSYS workbench, it's not so bad either. :)
Multi-physics problems can defenitely be easily solved through COMSOL multiphysics software. Various physics could be easily added to solve any system with involvement of their domain equations
To add: if you want to study the crack propagation plus the multiphysics. Then its better to check whether that coupling physics is availabe in other softwares like ABAQUS or ANSYS. If it is then use those. I do not recommend COMSOL Multiphysics. Its true that in Comsol integrating different physics is very easy. But Comsol's fracture mechanics studies are not matured enough (if we speak the complex crack initiation n propagation phenomena).
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