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

Since the beginning of the industrial age, material performance and design have been in the
midst of innovation of many disruptive technologies. Today's electronics, space, medical …

The use of micromechanics in conjunction with homogenization theory allows for the
prediction of the effective mechanical properties of materials based on microstructural …

This paper is a reconsideration and reformulation of the Mori-Tanaka's theory in its
application to the computation of the effective properties of composites. Previous …

A comprehensive overview is given in this book towards a fundamental understanding of the
micromechanics of the overall response and failure modes of advanced materials, such as …

Composite materials consist of two or more different materials that form regions large
enough to be regarded as continua and which are usually firmly bonded together at the …

This paper discusses the homogenization method to determine the effective average elastic
constants of linear elasticity of general composite materials by considering their …

In the context of shape optimization, we seek minimizers of the sum of the elastic compliance
and of the weight of a solid structure under specified loading. This problem is known not to …

A modification of the original theories of Rayleigh and Maxwell permitted the deriva tion of
expressions for the effective thermal conductivity of composites consisting of a continuous …

A variational formulation is employed to derive a micromechanics-based, explicit nonlocal
constitutive equation relating the ensemble averages of stress and strain for a class of …