The problem of effective properties of material microstructures has received considerable
attention over the past half a century. By effective (or overall, macroscopic, global) is meant …

Many areas of continuum physics pose a challenge to physicists. What are the most general,
admissible statistically homogeneous and isotropic tensor-valued random fields (TRFs) …

In this review paper, the evidence and application of thermodynamic self-organization are
reviewed for metals typically with single crystals subjected to cyclic loading. The theory of …

The microstructural geometry of materials has a significant influence on their macroscopic
response, especially when the process is essentially microscopic as for chemo-mechanical …

Inelastic deformation of solids is almost always, if not always, associated with the evolution
of discrete defects such as dislocations, vacancies, twins and shear transformation zones …

We develop a linear theory of the Cosserat continuum of a special type. This continuum
possesses only rotational degrees of freedom. The constitutive equation for the moment …

In this paper, we review the history, current state-of-art, and physical applications of the
spectral theory of two classes of random functions. One class consists of homogeneous and …

The violations of the second law are relevant as the length and/or time scales become very
small. The second law then needs to be replaced by the fluctuation theorem and …

Under consideration is the problem of size and response of the representative volume
element (RVE) of spatially random linear viscoelastic materials. The model microstructure …

The plastic deformation of almost all solid polymers can be represented by a thermally
activated rate process involving the motion of cooperative mobile elements over potential …