Advanced Applied Mechanics Laboratory focuses on analyses and experiments of various kinds of multiphysics and multiscale problems such as blast-structure interaction, high-speed impact, material plasticity and fracture, wave propagation excited by PZTs or laser beams, high-performance bio-inspired materials, and 3D optical nanocomposites. Multiphysics problems are described by combining multiple different kinds of governing equations, and the multiscale simulation requires the comprehensive consideration of different material or structural scales such as micro-, meso-, and macro scales. To simulate these phenomena with high fidelity and efficiency, several numerical techniques have been developed using the finite element method, peridynamics, and other meshless methods. We have enhanced the fundamental understanding of the mechanics, and the research results enable the applications for national security, infrastructural safety, and structural health monitoring.