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The Office of Naval Research's multi-scale mechanics research area endeavors to develop multiscale and multiphysics mechanics theories that bridge the nano scale to the continuum scale to predict material and structural strength.

The Office of Naval Research's resilient structures research area endeavors to develop structural configurations, materials and technologies to enable self-sustainable, self-repairable and highly damage resistant structures.

The Office of Naval Research's Applied Physical Mathematics program focuses on new foundational theory and experimental approaches to areas concerning wave, energy, heat, and momentum dynamics.