scholarly journals Second‐order stress distributions in a long orthotropic bar excited into free longitudinal vibration

1974 ◽  
Vol 55 (S1) ◽  
pp. S2-S2
Author(s):  
Allan J. Zuckerwar
Keyword(s):  
Longitudinal Vibration ◽  
Second Order ◽  
Stress Distributions ◽  
Order Stress

Second order effects in the flexure of isotropic incompressible elastic cylinders

1957 ◽  
Vol 53 (4) ◽  
pp. 907-921
Author(s):  
W. S. Blackburn
Keyword(s):  
Complex Potential ◽  
Arbitrary Cross Section ◽  
Second Order ◽  
Potential Functions ◽  
Successive Approximations ◽  
Order Effects ◽  
Stress Distributions ◽  
Elastic Deformations ◽  
Elastic Cylinders ◽  
Second Order Effects

General methods of successive approximations for problems in the theory of large elastic deformations have been proposed by Signorini (9), Misicu (5), Rivlin (6), Green and Spratt (4) and Rivlin and Topakoglu (7). Rivlin has applied his method to the problem of torsion of cylinders as far as terms of the second order. A solution of the problem of second order effects in the torsion of incompressible cylinders of arbitrary cross-section has been given by Green and Shield (3) in terms of complex potential functions, and the complete details of the stress distribution can be obtained once certain integral equations are solved. Blackburn and Green (l) have considered the second order effects in the deformation of compressible cylinders by forces on the ends. For the problems of torsion and bending by couples they obtained details of the displacements and stress distributions in terms of two complex potential functions which satisfy a certain boundary condition. The second order torsion problem has also been discussed by Sheng(8).

Rheological Behaviour and Time Dependent Characterisation of Gilaboru Juice (Viburnum opulus L.)

2005 ◽  
Vol 11 (2) ◽  
pp. 129-137 ◽  
Author(s):  
A. Altan ◽  
S. Kus ◽  
A. Kaya
Keyword(s):  
Power Law ◽  
Apparent Viscosity ◽  
Rheological Behaviour ◽  
Single Equation ◽  
Second Order ◽  
Time Dependent ◽  
Viburnum Opulus ◽  
Flow Curves ◽  
First Order ◽  
Order Stress

The flow curves and time-dependent rheological behaviour of gilaboru ( Viburnum opulus L.), a traditional drink in the middle Anatolia region of Turkey, with different solid concentrations (59.7, 56.3, 53.1, 43 and 35°Brix) were studied at different temperatures (5-60°C) using a controlled stress rheometer. Gilaboru samples exhibited thixotropic behaviour for all concentrations, both in the forward and backward measurements were characterised by the power law. A single equation was proposed for the apparent viscosity 1. Temperature played a major role in determining the magnitudes of the apparent viscosity 1. The completely destructed gilaboru samples flow curves were also measured after subjecting the samples to a high shear rate for 2h. After eliminating thixotropy by shearing, samples showed shearthinning properties that fitted well to the power law model. Three models were used to describe the time-dependent behaviour, namely, the second-order structural kinetic, Weltman and first-order stress decay models. Among the models, the first-order stress decay model fitted well compared to the second- order structural kinetic and Weltman models.

First and second order stress extrapolation for mode I and mode II edge cracks

1997 ◽  
Vol 57 (6) ◽  
pp. 715-720 ◽  
Author(s):  
Byeong S. Kim ◽  
Alan W. Eberhardt
Keyword(s):  
Second Order ◽  
Mode I ◽  
Mode Ii ◽  
Edge Cracks ◽  
Order Stress

A Numerical Study of Turbulent Axisymmetric Jets Flowing Into Closed Tubes

1986 ◽  
Vol 108 (4) ◽  
pp. 286-291 ◽  
Author(s):  
R. S. Amano
Keyword(s):  
Experimental Data ◽  
Numerical Study ◽  
Side Wall ◽  
Stagnation Pressure ◽  
Second Order ◽  
Turbulent Jet ◽  
Centerline Velocity ◽  
Stress Distributions ◽  
Closure Model ◽  
Volume Method

A numerical study is reported on the turbulent jet flowing into closed tubes. In the computation the finite volume method is employed to solve the continuity and momentum equations with the use of the second-order closure model of turbulence. The computations were made for tube depths and tube widths ranging from 2 to 30 jet diameters and from 2 to 8 jet diameters, respectively. The computed decay of the jet centerline velocity agrees reasonably well with the experimental data (within 10 percent). With the use of the second-order closure model, it became clear that an isotropic assumption is still valid in the main mixing region in the tube. Moreover, the wall shear stress distributions were obtained along the side wall of a tube. Finally, it was found that the terminal stagnation pressure at the tube bottom depends strongly on the diameter of the tube for DT/DN of less than 5.

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