The present chapter provides a general method to deal with nonlinear integro-differential equations, based on statistical linearization and Fredholm's approach. In this context, the elastic metamaterial is characterized by long-range nonlocal interactions besides a nonlinear short-range constitutive relationship. Results are analytically obtained and unveil the birth of unconventional propagation.
Wave propagation phenomena in nonlinear elastic metamaterials / Mezzani, F.; Rezaei, A. S.; Carcaterra, A.. - 3:(2020), pp. 31-40. ( 1st International nonlinear dynamics conference, NODYCON 2019 Rome, Italy ) [10.1007/978-3-030-34724-6_4].
Wave propagation phenomena in nonlinear elastic metamaterials
Mezzani F.
;Carcaterra A.
2020
Abstract
The present chapter provides a general method to deal with nonlinear integro-differential equations, based on statistical linearization and Fredholm's approach. In this context, the elastic metamaterial is characterized by long-range nonlocal interactions besides a nonlinear short-range constitutive relationship. Results are analytically obtained and unveil the birth of unconventional propagation.| File | Dimensione | Formato | |
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