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of 802
pro vyhledávání: '"Rajagopal, K. R."'
Autor:
Rajagopal, K. R. (Kumbakonam Ramamani)
Autor:
Rajagopal, K. R., Rodriguez, C.
We present an asymptotic framework that rigorously generates nonlinear constitutive relations between stress and linearized strain for elastic bodies. Each of these relations arises as the leading order relationship satisfied by a one-parameter famil
Externí odkaz:
http://arxiv.org/abs/2405.20977
We consider the flow of a fluid whose response characteristics change due the value of the norm of the symmetric part of the velocity gradient, behaving as an Euler fluid below a critical value and as a Navier-Stokes fluid at and above the critical v
Externí odkaz:
http://arxiv.org/abs/2309.14802
Autor:
Rajagopal, K. R., Rodriguez, C.
We present a nonlinear, geometrically exact, and thermodynamically consistent framework for modeling special Cosserat rods with evolving natural configurations. In contrast to the common usage of the point-wise Clausius-Duhem inequality to embody the
Externí odkaz:
http://arxiv.org/abs/2304.04633
Autor:
Rajagopal, K. R., Rodriguez, Casey
Motivated by recent strain-limiting models for solids and biological fibers, we introduce the first intrinsic set of nonlinear constitutive relations, between the geometrically exact strains and the components of the contact force and contact couple,
Externí odkaz:
http://arxiv.org/abs/2205.10875
Publikováno v:
J Elast 135, 375-397 (2019)
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 approximations of constitutive response functions for an elastic body tha
Externí odkaz:
http://arxiv.org/abs/2205.01215
Autor:
Darbha, Swaroop, Pavan, Athindra, Rajagopal, K. R., Rathinam, Sivakumar, Casbeer, David W., Manyam, Satyanarayana G.
In this article, we consider the motion planning of a rigid object on the unit sphere with a unit speed. The motion of the object is constrained by the maximum absolute value, $U_{max}$ of geodesic curvature of its path; this constrains the object to
Externí odkaz:
http://arxiv.org/abs/2203.16426
Autor:
Rajagopal, K. R., Rodriguez, Casey
We formulate and consider the problem of an inextensible, unshearable, viscoelastic rod, with evolving natural configuration, moving on a plane. We prove that the dynamic equations describing quasistatic motion of an Eulerian strut, an infinite dimen
Externí odkaz:
http://arxiv.org/abs/2201.10046
Autor:
Průša, Vít, Rajagopal, K. R.
Viscoelastic fluids are non-Newtonian fluids that exhibit both "viscous" and "elastic" characteristics in virtue of mechanisms to store energy and produce entropy. Usually the energy storage properties of such fluids are modelled using the same conce
Externí odkaz:
http://arxiv.org/abs/2103.11343