Microcontinuum Field Theories

On axisymmetrical boundary problem of unsteady motion of micropolar fluid in the half-space

“…In case of α = β = γ = κ = 0, microrotation − → N becomes zero. Also note that for κ = 0, the velocity − → q and the microrotation − → N are uncoupled and the global motion is unaffected by the microrotations (see, Łukaszewicz [10], Eringen [2]). Hence, Eq.…”

“…Lok et al [8] studied the unsteady mixed convection boundary-layer flow of a micropolar fluid near the region of the stagnation point on a double-infinite vertical flat plate. Extensive reviews for the mathematical theory of equations and applications of micropolar fluids can be found in books by Łukaszewicz [10] and Eringen [2].…”

Representation theorems and fundamental solutions for micropolar solid–fluid mixtures under steady state vibrations

“…Regarding the propagation of plane harmonic waves in micropolar materials we have to say that the micropolar effects become important in highfrequency and short wave-length regions of waves (Eringen, 1999). In the theory of micropolar mixtures introduced by Eringen (2003) this aspect has been studied by Singh & Tomar (2006).…”

“…The number of published works in these fields presently exceeds several hundred papers. A modern presentation, the state-of-art and the intended applications of these theories can be found in the books (Eringen, 1999(Eringen, , 2001). The higher-order or higher-grade continuum theories are necessary to capture size effects in small length scales, where the fundamental assumption of the classical continuum theory is that the (physical, chemical, mechanical, etc.…”

Existence theorem for nonlinear micropolar elasticity

“…Such generalized continua are introduced by the Cosserat brothers in [5]. For the overview of the micropolar elasticity see [7]. For the physical relevance of the micropolar (and micromorphic) elasticity in conjunction with finite elasto-plasticity and elastic metallic foams see [18,21].…”