Zobrazeno 1 - 10
of 2 469
pro vyhledávání: '"Rajagopal, K. R."'
Autor:
Rajagopal, K. R. (Kumbakonam Ramamani)
The concept of "effective mass" is frequently used for the simplification of complex lumped parameter systems (discrete dynamical systems) as well as materials that have complicated microstructural features. From the perspective of wave propagation,
Externí odkaz:
http://arxiv.org/abs/2409.05906
This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory for elastic bodies. We investigate strings governed by constitutive rel
Externí odkaz:
http://arxiv.org/abs/2408.05309
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