Upon exciting a material using elastic waves, the locally induced deformation at the 1 interfaces of internally closed defects may cause nonlinear wave mechanics and dynamics in 2 the form of clapping and friction. As a result, both phenomena instigate spectral broadening of 3 the excitation spectrum as well as the production of heat, directly originating from the defect.
4To better understand and account for the physics behind the dissipation of energy by internally 5 closed defects as a result of the wave-interface interaction, dedicated models can be developed. In 6 this work, we propose a 3D finite element multiphysics model that is capable of simultaneously 7 describing the generation of nonlinearities and heating at a defect's interface experiencing clapping 8 and friction induced by elastic wave propagation. The model consists of three different modules. 9 The first module describes the elastic wave propagation in a virgin/bulk material, whereas the 10 second module captures the contact physics at the defect level. The third module is implemented 11 to calculate the diffusion of thermal energy in the specimen. The contact physics module accounts 12 for anharmonic and hysteretic effects, describing the nonlinear behavior of the defect's interfaces, 13 which is echoed in both the ultrasound spectrum and in the vibration induced heating. A qualita-14 tive analysis of the computational model, integrating the three modules, is performed to validate 15 the approach. Examples show that nonlinear spectral components are indeed observed as a result 16 of the friction and the clapping experienced by the faces of the defect. At the same time, a localized 17 temperature increase due to the induced friction is noted, and its response at the outer surface of 18 the sample is examined. The qualitative validation approves that the model is ready to be tested 19 further quantitively, and to compare its predictions to experiments.