1,730,804 research outputs found
Carta de C.T. Rajagopal a Ferran Sunyer
No full textCarta de C.T. Rajagopal, del Ramanujan Institute of Math. (Índia), on li demana permís per nomenar-lo cap examinador de la tesi doctoral que elabora juntament amb Aluru Raghu Rami Reddy i per suggerir que A.G. Azpeitia sigui el seu coexaminador
Prof. Krishna Rajagopal, Dean for Digital Learning, MIT - A Fireside Chat with Jeffrey H. Toney, Ph.D., Senior Vice President of Research at Kean University
No full textProf. Krishna Rajagopal, Dean for Digital Learning, MIT - A Fireside Chat with Jeffrey H. Toney, Ph.D., Senior Vice President of Research at Kean Universit
Circularly polarized wave propagation in a class of bodies defined by a new class of implicit constitutive relations
No full textIn this paper, we show that circularly polarized transverse stress waves, standing shear stress waves, and oscillatory
shear stress waves can propagate in a new class of viscoelastic solid bodies which are a subclass of bodies described by
implicit constitutive theories. The class of models that is being considered includes as sub-classes, the classical Kelvin–Voigt
model, the new models introduced by Rajagopal wherein the Cauchy–Green tensor is a non-linear function of the stress,
and the Navier–Stokes fluid model. The solutions established in this paper are generalizations of solutions that have been
established within the context of nonlinear elasticity by Carroll, and Destrade and Saccomandi, to the new class of elastic
and viscoelastic bodies that are being considered
On a New Class of Models in Elasticity
Full text linkRecently, Rajagopal and co-workers have shown (see Rajagopal [1], Rajagopal and Srinivasa [2],[3], Bustamante and Rajagopal[4], Rajagopal and Saccomandi [5]) that if by an elastic body one means a body that is incapable of dissipation, then the class of such bodies is far larger than either Green elastic or for that matter Cauchy elastic bodies as one could model elastic bodies using implicit constitutive relations between the Cauchy stress and the deformation gradient or implicit constitutive relations that are rate equations involving the Piola-Kirchhoff stress and the Green-St.Venant Strain (see Rajagopal and Srinivasa [2]). Such a generalized framework allows one to develop models whose linearization with regard to the smallness of the displacement gradient allows one to obtain models that have limited linearized strains even while the stresses are very large. Such a possibility has important consequences to problems which, within the context of the classical linearized theory, leads to singularities. In this short paper, we illustrate the implications of such models by considering simple problems within the context of a specific model belonging to the general class, wherein the strains remain small as the stresses tend to very large values
Carta de Ferran Sunyer a C.T. Rajagopal
No full textCarta escrita al professor Rajagopal de Madras (Índia), per agrair-li l'oferiment de ser nomenat cap examinador de la tesi de Mr. Aluru Raghu Rami Reddy
Shear flows of a new class of power-law fluids
Full text linkWe consider the flow of a class of incompressible fluids which are constitutively
defined by the symmetric part of the velocity gradient being a function, which can be nonmonotone,
of the deviator of the stress tensor. These models are generalizations of the
stress power-law models introduced and studied by J. Málek, V. Pr°uša, K.R. Rajagopal :
Generalizations of the Navier-Stokes fluid from a new perspective. Int. J. Eng. Sci. 48
(2010), 1907–1924. We discuss a potential application of the new models and then consider
some simple boundary-value problems, namely steady planar Couette and Poiseuille flows
with no-slip and slip boundary conditions. We show that these problems can have more
than one solution and that the multiplicity of the solutions depends on the values of the
model parameters as well as the choice of boundary conditions.K.R. Rajagopal thanks the National Science Foundationhttp://link.springer.com/journal/10492hb201
A generalization of the classical Euler and Korteweg fluids
No full textsummary:The aim of this short paper is threefold. First, we develop an implicit generalization of a constitutive relation introduced by Korteweg (1901) that can describe the phenomenon of capillarity. Second, using a sub-class of the constitutive relations (implicit Euler equations), we show that even in that simple situation more than one of the members of the sub-class may be able to describe one or a set of experiments one is interested in describing, and we must determine which amongst these constitutive relations is the best by culling the class by systematically comparing against an increasing set of observations. (The implicit generalization developed in this paper is not a sub-class of the implicit generalization of the Navier-Stokes fluid developed by Rajagopal (2003), (2006) or the generalization due to Průša and Rajagopal (2012), as spatial gradients of the density appear in the constitutive relation developed by Korteweg (1901).) Third, we introduce a challenging set of partial differential equations that would lead to new techniques in both analysis and numerical analysis to study such equations
Tax incentives, market power, and corporate investment : a rational expectations model applied to Pakistani and Turkish industries
No full textDagmar Rajagopal; Anwar Sha
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