The study of nonlinear elasticity has emerged as a pivotal area in understanding complex material responses where the assumptions of linearity no longer hold. At its core, this field investigates ...

Exponentially increasing and decreasing estimates are derived in terms of various mean-square cross-sectional measures for the longitudinal alternative growth and decay behaviour in a semi-infinite ...

Strike a bell, and the bell rings at its resonance modes. Strike it harder and the bell rings at the same tone, only louder. Now imagine a small crack in the bell, perhaps invisible to the eye. We ...

When a material experiences an applied uniaxial tensile stress, s, it displays a strain response, e. In the initial stage of strain, the response is linear in the stress and may be described by ...