Experimental bases for a new incremental non-linear constitutive relation with 5 parameters

2000 ◽  
pp. 439-456
Author(s):  
F. Darve ◽  
X. Roguiez
Keyword(s):  
Constitutive Relation ◽  
Non Linear

The Non-linear Constitutive Relation in Solids at Optical Frequencies

1963 ◽  
Vol 81 (2) ◽  
pp. 219-232 ◽  
Author(s):  
P N Butcher ◽  
T P McLean
Keyword(s):  
Constitutive Relation ◽  
Non Linear

The non-linear constitutive relation in solids at optical frequencies: II

1964 ◽  
Vol 83 (4) ◽  
pp. 579-589 ◽  
Author(s):  
P N Butcher ◽  
T P McLean
Keyword(s):  
Constitutive Relation ◽  
Non Linear

Non Linear Viscoelastic Constitutive Relation of Elastomers for Hysteresis Behavior

2016 ◽  
Vol 40 (4) ◽  
pp. 353-362 ◽  
Author(s):  
Sairom Yoo ◽  
Jaehyung Ju ◽  
Seok-Ju Choi ◽  
Dooman Kim
Keyword(s):  
Constitutive Relation ◽  
Hysteresis Behavior ◽  
Non Linear ◽  
Linear Viscoelastic

scholarly journals A non-linear constitutive relation for the analysis of FRCM elements

2016 ◽  
Vol 2 ◽  
pp. 2674-2681 ◽  
Author(s):  
P. Bernardi ◽  
D. Ferretti ◽  
F. Leurini ◽  
E. Michelini
Keyword(s):  
Constitutive Relation ◽  
Non Linear

scholarly journals Improvement of corner separation prediction using an explicit non-linear RANS closure

2021 ◽  
Vol 5 ◽  
pp. 50-65
Author(s):  
Wei Sun ◽  
Liping Xu
Keyword(s):  
Reynolds Stress ◽  
Constitutive Relation ◽  
Design Flow ◽  
Strain Rate Tensor ◽  
Compressor Cascade ◽  
Corner Separation ◽  
Anisotropic Turbulence ◽  
Turbulence Anisotropy ◽  
Non Linear ◽  
The Mean

In this paper, an investigation into the effect of explicit non-linear turbulence modelling on anisotropic turbulence flows is presented. Such anisotropic turbulence flows are typified in the corner separations in turbomachinery. The commonly used Reynolds-Averaged Navier-Stokes (RANS) turbulence closures, in which the Reynolds stress tensor is modelled by the Boussinesq (linear) constitutive relation with the mean strain-rate tensor, often struggle to predict corner separation with reasonable accuracy. The physical reason for this modelling deficiency is partially attributable to the Boussinesq hypothesis which does not count for the turbulence anisotropy, whilst in a corner separation, the flow is subject to three-dimensional (3D) shear and the effects due to turbulence anisotropy may not be ignored. In light of this, an explicit non-linear Reynolds stress-strain constitutive relation developed by Menter et al. is adopted as a modification of the Reynolds-stress anisotropy. Coupled with the Menter’s hybrid "k-ω" ⁄"k-ε" turbulence model, this non-linear constitutive relation gives significantly improved predictions for the corner separation flows within a compressor cascade, at both the design and off-design flow conditions. The mean vorticity field are studied to further investigate the physical reasons for these improvements, highlighting its potential for the widespread applications in the corner separation prediction.

B. The Non-Linear Calculations for Pulsating Stars

1967 ◽  
Vol 28 ◽  
pp. 105-176
Author(s):  
Robert F. Christy
Keyword(s):  
Major Part ◽  
Afternoon Session ◽  
Discussion Session ◽  
Pulsating Stars ◽  
Fourth Symposium ◽  
Non Linear ◽  
Considerable Discussion ◽  
Informal Approach ◽  
Preceding Session

(Ed. note: The custom in these Symposia has been to have a summary-introductory presentation which lasts about 1 to 1.5 hours, during which discussion from the floor is minor and usually directed at technical clarification. The remainder of the session is then devoted to discussion of the whole subject, oriented around the summary-introduction. The preceding session, I-A, at Nice, followed this pattern. Christy suggested that we might experiment in his presentation with a much more informal approach, allowing considerable discussion of the points raised in the summary-introduction during its presentation, with perhaps the entire morning spent in this way, reserving the afternoon session for discussion only. At Varenna, in the Fourth Symposium, several of the summaryintroductory papers presented from the astronomical viewpoint had been so full of concepts unfamiliar to a number of the aerodynamicists-physicists present, that a major part of the following discussion session had been devoted to simply clarifying concepts and then repeating a considerable amount of what had been summarized. So, always looking for alternatives which help to increase the understanding between the different disciplines by introducing clarification of concept as expeditiously as possible, we tried Christy's suggestion. Thus you will find the pattern of the following different from that in session I-A. I am much indebted to Christy for extensive collaboration in editing the resulting combined presentation and discussion. As always, however, I have taken upon myself the responsibility for the final editing, and so all shortcomings are on my head.)

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