scholarly journals Rheological behavior of hydrophobically modified hydroxyethyl cellulose solutions: A linear viscoelastic model

2002 ◽  
Vol 46 (1) ◽  
pp. 127-143 ◽  
Author(s):  
A. Maestro ◽  
C. González ◽  
J. M. Gutiérrez
Keyword(s):  
Rheological Behavior ◽  
Viscoelastic Model ◽  
Hydroxyethyl Cellulose ◽  
Hydrophobically Modified ◽  
Linear Viscoelastic ◽  
Linear Viscoelastic Model

A non-linear viscoelastic model with structure-dependent relaxation times

1976 ◽  
Vol 1 (2) ◽  
pp. 147-157 ◽  
Author(s):  
D. Acierno ◽  
F.P. La Mantia ◽  
G. Marrucci ◽  
G. Rizzo ◽  
G. Titomanlio
Keyword(s):  
Relaxation Times ◽  
Viscoelastic Model ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Linear Viscoelastic Model

A non-linear viscoelastic model for sediments flocculated in the presence of seawater salts

2015 ◽  
Vol 482 ◽  
pp. 500-506 ◽  
Author(s):  
Christian Goñi ◽  
Ricardo I. Jeldres ◽  
Pedro G. Toledo ◽  
Anthony D. Stickland ◽  
Peter J. Scales
Keyword(s):  
Viscoelastic Model ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Linear Viscoelastic Model

scholarly journals Modelling liver tissue properties using a non-linear viscoelastic model ror surgery simulation

2002 ◽  
Vol 12 ◽  
pp. 146-153 ◽  
Author(s):  
J.-M. Schwartz ◽  
M. Dellinger ◽  
D. Rancourt ◽  
C. Moisan ◽  
D. Laurendeau
Keyword(s):  
Liver Tissue ◽  
Viscoelastic Model ◽  
Surgery Simulation ◽  
Tissue Properties ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Linear Viscoelastic Model

Estimating the ‘In-Service’ Modulus of Elasticity and Length of Polyester Mooring Lines via a Non Linear Viscoelastic Model Governed by Fractional Derivatives

2012 ◽  
Author(s):  
Georgios I. Evangelatos ◽  
Pol D. Spanos
Keyword(s):  
Modulus Of Elasticity ◽  
Field Data ◽  
Fractional Derivatives ◽  
Viscoelastic Model ◽  
Mooring Lines ◽  
Static Modulus ◽  
Proposed Model ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Linear Viscoelastic Model

In this paper a non linear viscoelastic model governed by fractional derivatives is presented for modeling the in-service behavior of polyester mooring lines. In the formulation an iterative approach utilizing the Gauss-Newton minimization algorithm in conjunction with the catenary equations used to determine the static modulus of elasticity and the effective length of polyester mooring lines corresponding to calm sea conditions. Upon establishing the accuracy of the static modulus via comparison with field data, the catenary equations and the offshore platform’s position versus time are used to identify the polyester strain under developed-sea conditions. In this manner, time histories of stress and strain for polyester ropes in service conditions are obtained. Then, a non linear viscoelastic model involving fractional derivative terms is used to capture the in service polyester line behavior. For this, the tension of the proposed model corresponding to the actual polyester strain is compared at each time step to the tension obtained from the field data. Finally, the parameters of the proposed model are derived by minimizing the error in the least-squares sense over a large number of data points using the Levenberg-Marquardt algorithm. The numerically derived force-strain relationship is found to be in reasonable agreement with supplementary field and laboratory experimental data, the field data pertain to an offshore structure moored in position using polyester mooring lines operated in the Gulf of Mexico during Hurricane Katrina (August of 2005).

scholarly journals Tidal bending of glaciers: a linear viscoelastic approach

2003 ◽  
Vol 37 ◽  
pp. 83-89 ◽  
Author(s):  
Niels Reeh ◽  
Erik Lintz Christensen ◽  
Christoph Mayer ◽  
Ole B. Olesen
Keyword(s):  
Laboratory Experiments ◽  
Viscoelastic Model ◽  
Elastic Beam ◽  
Beam Theory ◽  
Model Parameters ◽  
Beam Model ◽  
Glacier Ice ◽  
Linear Viscoelastic ◽  
Reasonable Choice ◽  
Linear Viscoelastic Model

AbstractIn theoretical treatments of tidal bending of floating glaciers, the glacier is usually modelled as an elastic beam with uniform thickness, resting on an elastic foundation. With a few exceptions, values of the elastic (Young’s) modulus E of ice derived from tidal deflection records of floating glaciers are in the range 0.9–3 GPa. It has therefore been suggested that the elastic-beam model with a single value of E ≈ 1GPa adequately describes tidal bending of glaciers. In contrast, laboratory experiments with ice give E = 9.3 GPa, i.e. 3–10 times higher than the glacier-derived values. This suggests that ice creep may have a significant influence on tidal bending of glaciers. Moreover, detailed tidal-deflection and tilt data from Nioghalvfjerdsfjorden glacier, northeast Greenland, cannot be explained by elastic-beam theory. We present a theory of tidal bending of glaciers based on linear viscoelastic-beam theory. A four-element, linear viscoelastic model for glacier ice with a reasonable choice of model parameters can explain the observed tidal flexure data. Implications of the viscoelastic response of glaciers to tidal forcing are discussed briefly.

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