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C.M. Warwick and T.W. Clyne,
Composites and Coatings Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.
E-mail
T.W. Clyne: twc10@cus.cam.ac.uk
Released: January 1998.
Added to MAP: September 1999.
This program calculates the radial distribution of axial, radial and hoop stresses in a series of coaxial cylinders (the inner cylinder being solid), due to a temperature change from the initial (stress-free) state and/or an externally applied axial and/or radial stress.
| Language: | N/A |
| Product form: | Executable files for use on almost any Apple Macintosh or PC. |
Complete Program.
This program calculates the radial distribution of axial, radial and hoop stresses in a series of coaxial cylinders, the inner cylinder being solid, due to a temperature from the initial (stress-free) state change and/or an externally applied axial and/or radial stress. The calculations are carried out using a series of analytical solutions, which are presented in reference 1.
The number of component cylinders is user-defined. The outer surface of the outermost cylinder is free (unconstrained). Input data are required in the form of the elastic constants, thermal expansivities and thicknesses of each cylinder, and the externally applied stress and temperature change. These are screen input in response to a series of prompts. There is an option to use a default material system or to use material property data for any particular cylinder from a library. This library contains data for SiC, Mg, Mg-10wt%Li, Al, Y, Ti, graphite, Ni, W, glass, epoxy and rubber.
Three output files are produced which contain the following output data:
Downloading and running the program
Compiled versions of the programs have been produced as stand-alone applications. They are run simply by double-clicking on the icon concerned. They should run on virtually any Apple Macintosh or PC. Data input is via the screen or by selection of default cases which are offered. Data output is to files which are named by the user. These are produced as files for the plotting application "Kaleidagraph", but they can be read as text files from many other plotting or spreadsheet applications. These output files are normally created within the currently-active folder. The program quits after each complete set of computations. For further use, it is necessary to double-click on the icon again.
The executable files for downloading have been compressed using STUFFIT EXPANDER on the Macintosh and WINZIP or PKUNZIP on the PC. These decoders can be downloaded from the following websites:
STUFFIT EXPANDER at https://www.aladdinsys.com/expander/
WINZIP at https://www.winzip.com/
The run time depends on the number of cylinders specified (and on machine speed), but even on a relatively slow machine and with the maximum number of cylinders (10) specified, the program only takes a second or two to run.
The data library contains material parameters for SiC, Mg, Mg-10wt%Li, Al, Y, Ti, graphite, Ni, W, glass, epoxy and rubber.
None.
No information supplied.
Further information about this program can be obtained from the Composites and Coating Group website at https://www.msm.cam.ac.uk /mmc/mmc.html and is one of a series of programs produced by Bill Clyne and co-workers in the Materials Science Department at Cambridge.
It should be noted:
Nothing is expected of anyone downloading a program and there is no obligation to use results obtained from it in any particular manner. Equally, there is no liability on the part of the supplier and no guarantee that the programs do not incorporate errors or invalid data. In general, however, the offer is aimed at researchers and is designed to stimulate collaborative work. Anyone downloading a program is therefore invited to give their address to the supplier and is also welcome to enter into contact if they wish to explore any details. In the event that results obtained using any of the programs are published in any form, it would be appreciated if their source could be acknowledged.
Complete program.
Stress distribution in a set of Coaxial Cylinders ¬ CM Warwick & TW Clyne, Cambridge University, 1991 ref: J Mat Sci, vol.26 (1991) p.3817-3827 (Unlimited distribution version - please acknowledge when publishing) Stresses from differential thermal contraction and/or from axial & radial applied stress System is transversely isotropic Enter number of data points required per cylinder (2 to 30) 2 Default system (graphite core (r=15 |m), SiC sheath r=75 |m))? (Y/N) n Enter number of cylinders (2 to 10) 2 Cylinder number 1 Enter outer radius in |m 50 Choose material from library? (Y/N) y Materials available: A - SiC B - Mg C - Mg/10wt%Li D - Al E - Y F - Ti G - graphite H - Ni I - W J - glass K - epoxy L - rubber Enter a letter (A-L) G Axial Youngs modulus (GPa) = 2.3E+0002 Transverse Youngs modulus (GPa) = 2.2E+0001 Poisson ratio (nu12) = 4.2E-0001 Poisson ratio (nu13) = 3.0E-0001 Axial thermal expansivity (microstrain/K) = -1.5E+0000 Transverse thermal expansivity (microstrain/K) = 2.7E+0001 Cylinder number 2 Enter outer radius in |m 80 Choose material from library? (Y/N) y Materials available: A - SiC B - Mg C - Mg/10wt%Li D - Al E - Y F - Ti G - graphite H - Ni I - W J - glass K - epoxy L - rubber Enter a letter (A-L) A Axial Youngs modulus (GPa) = 4.0E+0002 Transverse Youngs modulus (GPa) = 4.0E+0002 Poisson ratio (nu12) = 1.9E-0001 Poisson ratio (nu13) = 1.9E-0001 Axial thermal expansivity (microstrain/K) = 4.3E+0000 Transverse thermal expansivity (microstrain/K) = 4.3E+0000 Enter temperature change in K (-ive for cooling) 20 Enter applied axial stress in MPa 50 Enter applied radial stress in MPa 30 Computation complete. Output is stored in 3 files. Enter prefix for these date files coaxcy
r(microns) sigmaz(MPa)
0.00000000000E+0000 4.26580302358E+0001
1.25000000000E+0001 4.26580302358E+0001
2.50000000000E+0001 4.26580302358E+0001
3.75000000000E+0001 4.26580302358E+0001
5.00000000000E+0001 4.26580302358E+0001
5.00000000000E+0001 5.47063908745E+0001
5.75000000000E+0001 5.47063908745E+0001
6.50000000000E+0001 5.47063908745E+0001
7.25000000000E+0001 5.47063908745E+0001
8.00000000000E+0001 5.47063908745E+0001
r(microns) sigmah(MPa)
0.00000000000E+0000-5.41722689735E+0000
1.25000000000E+0001-5.41722689735E+0000
2.50000000000E+0001-5.41722689735E+0000
3.75000000000E+0001-5.41722689735E+0000
5.00000000000E+0001-5.41722689735E+0000
5.00000000000E+0001 1.10823928048E+0002
5.75000000000E+0001 9.66508571708E+0001
6.50000000000E+0001 8.70942248194E+0001
7.25000000000E+0001 8.03469070426E+0001
8.00000000000E+0001 7.54067011505E+0001
r(microns) sigmar(MPa)
0.00000000000E+0000-5.41722689735E+0000
1.25000000000E+0001-5.41722689735E+0000
2.50000000000E+0001-5.41722689735E+0000
3.75000000000E+0001-5.41722689735E+0000
5.00000000000E+0001-5.41722689735E+0000
5.00000000000E+0001-5.41722689735E+0000
5.75000000000E+0001 8.75584397970E+0000
6.50000000000E+0001 1.83124763311E+0001
7.25000000000E+0001 2.50597941079E+0001
8.00000000000E+0001 3.00000000000E+0001
None.
composite, laminate, coating, cylinder, axial, radial, hoop, stress, temperature
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