Hello,
we are Tatyana Abramova, first-year student of The Department of General and Applied Physics of MIPT, and Robert Drynkin, first-year student of Applied Mathematics and Computer Science in HSE and Mathematics in IUM.
We have found that there is no model for non-rigid bodies and we are going to create non-rigid body class.
Firstly, the non-rigid body itself should be created. For that rigid body class can be used, including some new properties like elastic modulus and shear modulus. Also, inertia for non-rigid body is not constant, so it becomes dynamic quantity.
Secondly, the forces of deformation should be added by introducing Cauchy stress tensor. Furthermore, deformations in the nonlinear part of the elasticity curve will be considered, thus there should be yield point, ultimate strength, breaking point and other needed characteristics of each material which is going to be deformed. Also, compression of liquids can be considered (adding parameters of the reservoir and pressure).
Finally, equation of motion of the non-rigid body should be generated. For that we can use already added LagrangesMethod and KanesMethod or create something new that would be more applicable for non-rigid bodies. After creating motion of non-rigid bodies visualization of it could be supplemented.
We hope that the structure of our idea is clear.