Basic Information
Continuum Kinematics, Elastodynamic Conservation Equations. Plane Waves, Green's Function, Waves in Periodic Medium, Bloch-floquet Theorem, Elastic Band Structure. Energy Relations, Causality and Passiity. Quasi-static and Dynamic Effective Properties. Asymptotic Homoenization For Wavelengths and Low Frequencies. Willis Homogenization. Applicability Limit of Dynamic Homoenization, Metamaterial Properties. Learning Outcomes# Upon Completion of The Course, The Students Will Know# 1. Be Able to Formulate The Equations Governing Wave Propagation In Periodic Elastic Media. 2. Understand The Concept of Effective Dynamic Properties, and The Physical Restrictions They Must Satisfy. 3. Be Familiar With The Two Most Common Approaches For Dynamic Homogenization, I.e., Asymptotic Homogenization and Willis Homogenization. 4. Understand How Dynamic Metamaterial Properties Emerge. 5. Understand The Limit of Applicability of Dynamic Homogenization
Faculty: Mechanical Engineering
|Undergraduate Studies
|Graduate Studies
Pre-required courses
35022 - Finite Elements For Engineering Analysis or 35041 - Mechanics of Microsystems or 35043 - Introduction to The Theory of Elasticity or 36003 - Introduction to Continuum Mechanics or 36004 - Fracture Mechanics or 36006 - Stress Waves in Solids or 36058 - Micromechanics of Solids 1 or 36062 - Contact Mechanics