[图书][B] Preconditioning and the conjugate gradient method in the context of solving PDEs
Our times can be characterized by, among many other attributes, the seemingly increasing
speed of everything. Within science, it has led to the publication explosion, which reflects the …
speed of everything. Within science, it has led to the publication explosion, which reflects the …
A novel approach to the description of constitutive relations
KR Rajagopal, G Saccomandi - Frontiers in Materials, 2016 - frontiersin.org
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 …
response of both solids and fluids have greatly increased the repertoire of the modeler in his …
Derivation of the variants of the Burgers model using a thermodynamic approach and appealing to the concept of evolving natural configurations
Viscoelastic rate-type fluid models involving the stress and frame-indifferent time derivatives
of second order, like those in Burgers' model, are used to describe the complicated …
of second order, like those in Burgers' model, are used to describe the complicated …
Infinitesimal and infinite numbers in applied mathematics
A Bryzgalov, K Islami, P Giordano - Nonlinear Dynamics, 2024 - Springer
The need to describe abrupt changes or response of nonlinear systems to impulsive stimuli
is ubiquitous in applications. Also the informal use of infinitesimal and infinite quantities is …
is ubiquitous in applications. Also the informal use of infinitesimal and infinite quantities is …
Time periodic pulse electroosmotic flow of Jeffrey fluids in a circular microchannel under the depletion effect
D Li, K Li - Journal of Mechanical Science and Technology, 2022 - Springer
We used the Laplace transform method to investigate the time periodic pulse electroosmotic
flow (EOF) of linear viscoelastic fluids through a circular microchannel driven by pulse …
flow (EOF) of linear viscoelastic fluids through a circular microchannel driven by pulse …
A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials
A Muliana, KR Rajagopal, AS Wineman - Acta Mechanica, 2013 - Springer
In this short note, we develop a new class of “quasi-linear” viscoelastic models wherein the
linearized strain is expressed in terms of a nonlinear measure of the stress. The class of …
linearized strain is expressed in terms of a nonlinear measure of the stress. The class of …
An implicit thermomechanical theory based on a Gibbs potential formulation for describing the response of thermoviscoelastic solids
KR Rajagopal, AR Srinivasa - International Journal of Engineering Science, 2013 - Elsevier
The aim of this paper is to develop an implicit constitutive for the thermoviscoelastic behavior
of polymers, based on a thermomechanical framework. The core idea is to assume that the …
of polymers, based on a thermomechanical framework. The core idea is to assume that the …
On the response of physical systems governed by non-linear ordinary differential equations to step input
V Průša, KR Rajagopal - International Journal of Non-Linear Mechanics, 2016 - Elsevier
The response of physical systems governed by linear ordinary differential equations to step
input is traditionally investigated using the classical theory of distributions. The response of …
input is traditionally investigated using the classical theory of distributions. The response of …
Modelling the nonlinear viscoelastic response of asphalt binders
SPA Narayan, DN Little… - International Journal of …, 2016 - Taylor & Francis
In a recent article, Narayan et al.[Narayan, SPA, et al., 2012b. Nonlinear viscoelastic
response of asphalt binders: experimental study of relaxation of torque and normal force in …
response of asphalt binders: experimental study of relaxation of torque and normal force in …
Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots
The response of mechanical systems composed of springs and dashpots to a step input is of
eminent interest in the applications. If the system is formed by linear elements, then its …
eminent interest in the applications. If the system is formed by linear elements, then its …