We review the class of implicit algebraic constitutive relations for fluids which includes in its
ambit those whose material properties depend on the invariants of the stress, the symmetric …

In the first part of the paper we provide a new classification of incompressible fluids
characterized by a continuous monotone relation between the velocity gradient and the …

Many real fluids exhibit response characteristics that cannot be satisfactorily described by
the classical Navier–Stokes fluid model and such fluids are referred to as non-Newtonian …

The chapter starts with overview of the derivation of the balance equations for mass,
momentum, angular momentum and total energy, which is followed by a detailed discussion …

Recent advances in the development of implicit constitutive relations to describe the
response of both solids and fluids have greatly increased the repertoire of the modeler in his …

In this paper we study the deformation of a body with a notch subject to an anti-plane state of
stress within the context of a new class of elastic models. These models stem as …

The orthogonal rheometer, an instrument developed by Maxwell and Chartoff (1965) that
has been used to measure the properties of non-Newtonian fluids, is essentially two parallel …

Reformulating constitutive relation in terms of gradient dynamics (being derivative of a
dissipation potential) brings additional information on stability, metastability and instability of …

Long-time and large-data existence of weak solutions for initial-and boundary-value
problems concerning three-dimensional flows of incompressible fluids is nowadays …

Physical human-robot interaction (pHRI) is widely needed in many fields, such as industrial
manipulation, home services, and medical rehabilitation, and puts higher demands on the …