Mathematical models involving interactions between multiple variables, generating emergent behaviors, are typically nonlinear and non-integrable. As a serious example in this work, strain waves in microstructed medium will be examined using two known approaches Mindlin model and extended Voight model, and their analytical solutions are studied, respectively. Besides the well-known bell-shaped and kink-shaped solutions, in this work travelling wave and rogue wave solutions are obtained via the ansatz-based methods. Depending on the macro and micro properties of the microstructured environment, the wave amplitude and speed have been determined according to the accepted parameters and 3D and contour graphics are given. The results have many applications such as the evaluation of the durability of elastic materials and structures, non-destructive testing methods, determination of the physical properties of elastic materials, polymeric solids and ceramics.
Pinar Izgi, Z. (2026). Analytical Study of Nonlinear Strain Waves in Microstructured Medium. (e742140). Mathematics and Computational Sciences, (), e742140 https://doi.org/10.30511/mcs.2026.2072709.1482
MLA
Pinar Izgi, Z. "Analytical Study of Nonlinear Strain Waves in Microstructured Medium" .e742140 , Mathematics and Computational Sciences, , 2026, e742140. doi: 10.30511/mcs.2026.2072709.1482
HARVARD
Pinar Izgi Z. (2026). 'Analytical Study of Nonlinear Strain Waves in Microstructured Medium', Mathematics and Computational Sciences, (), e742140. doi: 10.30511/mcs.2026.2072709.1482
CHICAGO
Z. Pinar Izgi, "Analytical Study of Nonlinear Strain Waves in Microstructured Medium," Mathematics and Computational Sciences, (2026): e742140, doi: 10.30511/mcs.2026.2072709.1482
VANCOUVER
Pinar Izgi Z. Analytical Study of Nonlinear Strain Waves in Microstructured Medium. MCS. 2026;():e742140. doi: 10.30511/mcs.2026.2072709.1482
