A lattice material is formed from a spatially periodic network of interconnected rods, beams, plates or other slender structures. The ability to tailor the unit-cell microstructure of a lattice material on multiple length scales is a way of attaining superior mechanical and vibroacoustic properties that are ordinarily not possible using conventional materials. This book focuses on the dynamic response of lattice materials, an area that has been greatly inspired by concepts from crystal physics. The methods and analyses covered directly apply to periodic materials in general, including phononic crystals and elastic metamaterials.

The text has been written by leading experts in the field, and covers

• elastostatics and elastodynamics
• the effects of damping, nonlinearity, instabilities, and impact loads
• exotic dynamics such as pentamodes, local resonances, and inertial amplification
• model reduction and optimization
• nano-lattices

A systematic and unified synthesis of these topics is provided to help consolidate conceptual building blocks in this emerging field of research.

Key features:

• Comprehensive treatment of dynamics of lattice materials and periodic materials in general, including phononic crystals and elastic metamaterials
• Provides an in-depth introduction to elastostatics and elastodynamics of lattice materials
• Covers advanced topics such as damping, nonlinearity, instability, impact and nanoscale systems
• Introduces contemporary concepts including pentamodes, local resonances and inertial amplification
• Includes chapters on fast computation and design optimization tools
• Topics are introduced using simple systems and generalized to more complex structures with a focus on dispersion characteristics

Dynamics of Lattice Materials is suitable for graduate students and research scientists with a background in dynamics, vibrations, mechanics of materials, and materials physics. It serves as a useful reference for researchers based in universities and practitioners in industrial research labs. It may also be used as a textbook for graduate courses on the mechanics of lattice materials.