Instabilities in solids and structures are ubiquitous across all length and time scales, and
engineering design principles have commonly aimed at preventing instability. However …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Recently, novel and uniform deformation-induced pattern transformations have been found
in periodic elastomeric cellular solids upon reaching a critical value of applied load [Mullin …

Architectured materials exhibit unconventional properties directly linked to their geometry.
When composed of slender elements, architectured materials can undergo large …

A wide class of micro-heterogeneous materials is designed to satisfy the advanced
challenges of modern materials occurring in a variety of technical applications. The effective …

Mechanical instabilities in periodic porous elastic structures may lead to the formation of
homogeneous patterns, opening avenues for a wide range of applications that are related to …

There is a renewed interest in grid-stiffened composite structures; they are not only
competitive with conventional stiffened constructions and sandwich shells in terms of weight …

Two-dimensional (2D) hierarchical cellular materials made up of sandwich walls are
predicted to have superior mechanical properties compared with solid-wall cellular …

By introducing a periodic array of pores in an elastic matrix, instabilities with wavelengths
that are of the order of the size of the microstructure can be triggered. Interestingly, these …

We use a computational homogenisation approach to derive a non linear constitutive model
for lattice materials. A representative volume element (RVE) of the lattice is modelled by …