Nonlocal wrinkling instabilities in bilayered systems using peridynamics

Abstract Wrinkling instabilities occur when a stiff thin film bonded to an elastic substrate undergoes compression. Regardless of the nature compression, this phenomenon has been extensively studied through local models based on classical continuum mechanics. However, experimental behavior is not yet fully understood and influence nonlocal effects remains largely unexplored. The objective paper fill gap from computational perspective by investigating wrinkling in bilayered system. Peridynamics (PD), formulation, serves as tool model material behavior. This manuscript presents methodology precisely predict critical conditions employing eigenvalue analysis. Our results approach solution nonlocality parameter, horizon size, approaches zero. An experimentally observed boundaries wave pattern reproduced with PD simulations which suggests physical origin. suggest that level quantitative main characteristics, while most trends qualitatively coincide predictions analytical solution. relation between thickness compression revealed existent theory. Moreover, determine peridynamic parameters across interface established introducing weighting factor. paper, for first time, shows adding analysis bilayer using can significantly advance our understanding phenomenon.