Diffusion driven by temperature or concentration gradients is a fundamental mechanism of
energy and mass transport that inherently differs from wave propagation in both physical …

Multi-scale structures, as found in nature (eg, bone and bamboo), hold the promise of
achieving superior performance while being intrinsically lightweight, robust, and multi …

Metamaterials are rationally designed composites aiming at effective material parameters
that go beyond those of the ingredient materials. For example, negative metamaterial …

Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …

Mechanical metamaterials are man-made structures with counterintuitive mechanical
properties that originate in the geometry of their unit cell instead of the properties of each …

Shape morphing and the possibility of having control over mechanical properties via
designed deformations have attracted a lot of attention in the materials community and led to …

Architectured materials on length scales from nanometers to meters are desirable for diverse
applications. Recent advances in additive manufacturing have made mass production of …

Within a time span of 15 years, acoustic metamaterials have emerged from academic
curiosity to become an active field driven by scientific discoveries and diverse application …

Hyperuniform states of matter are correlated systems that are characterized by an
anomalous suppression of long-wavelength (ie, large-length-scale) density fluctuations …

This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …