Recent progress in study of dynamically responsive materials with tailorable microstructural geometric nonlinearities

Abstract

It is known that strongly nonlinear materials exhibit rich acoustic behavior. Studies of such materials have hitherto been conducted on disparate material systems that leverage either intrinsic material nonlinearities (which could also be thought as geometric in origin depending on the scales considered) or microstructural geometric nonlinearities. While the latter group has been shown to be tunable to a limited extent, the capacity to freely transition between types of nonlinearity has remained out of grasp. In this talk, I will provide an overview of our group's recent work to use topology optimization algorithms to construct periodic microstructure geometries that have specified nonlinear constitutive responses, along with our exploration of elastic wave propagation within such materials.It is known that strongly nonlinear materials exhibit rich acoustic behavior. Studies of such materials have hitherto been conducted on disparate material systems that leverage either intrinsic material nonlinearities (which could also be thought as geometric in origin depending on the scales considered) or microstructural geometric nonlinearities. While the latter group has been shown to be tunable to a limited extent, the capacity to freely transition between types of nonlinearity has remained out of grasp. In this talk, I will provide an overview of our group's recent work to use topology optimization algorithms to construct periodic microstructure geometries that have specified nonlinear constitutive responses, along with our exploration of elastic wave propagation within such materials.