Creep Evolution Analysis of Composite Cylinder Made of Polypropylene Reinforced by Functionally Graded MWCNTs
محورهای موضوعی : EngineeringA Loghman 1 , H Shayestemoghadam 2 , E Loghman 3
1 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan
2 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan
3 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan
کلید واژه: Polypropylene, Composite FG cylinder, Time-dependent creep, Burgers model, MWCNTs reinforcement CNT,
چکیده مقاله :
Polypropylene is one of the most common, fastest growing and versatile thermoplastics currently used to produce tanks and chemical piping systems. Even at room temperature creep is considerable for polypropylene products. The creep behavior of strains, stresses, and displacement rates is investigated in a thick-walled cylinder made of polypropylene reinforced by functionally graded (FG) multi-walled carbon nanotubes (MWCNTs) using Burgers viscoelastic creep model. The mechanical properties of the composite are obtained based on the volume content of the MWCNTs. Loading is composed of an internal pressure and a uniform temperature field. Using equations of equilibrium, stress-strain and strain-displacement, a constitutive differential equation containing total creep strains is obtained. Creep strain increments are accumulated incrementally during the life of the vessel. Creep strain increments are related to the current stresses and the material uniaxial Burgers creep model by the well-known Prandtl-Reuss relations. A semi-analytical solution using Prandtl-Reuss relation has been developed to determine history of stresses, strains and displacements. The results are plotted against dimensionless radius for different volume content of MWCNTs. It has been found that the creep radial and circumferential strains of the cylinder reduce with increasing content of carbon nanotubes. It has also been concluded that the uniform distribution of MWCNTs reinforcement does not considerably influence on stresses.
[1] Boyle J.T, Spence J.,1983, Stress Analysis for Creep, Butterworth-Heinemann, Southampton, Butterworth, UK.
[2] Ghorbanpour Arani A., Haghshenas A., Amir S., Mozdianfard M., Latifi M., 2013, Electro-thermo mechanical response of thick-walled piezoelectric cylinder reinforced by boron nitride nanotubes, Strength of Materials 45 (1): 102-115.
[3] PAI D.H., 1967, Steady-state creep analysis of thick-walled orthotropic cylinders, International Journal of Mechanical Sciences 9 : 335-348.
[4] Bhatnagar N.S., Arya V.K., 1974, Large strain creep analysis of thick-walled cylinders, International Journal of Non-Linear Mechanic 9 : 127-140.
[5] Bhatnagar N.S., Kulkarni P.S., Arya V. K., 1984, Creep analysis of an internally pressurized orthotropic rotating cylinder, Nuclear Engineering and Design 83 : 379-388.
[6] Bhatnagar N.S., Pradnya K., Arya V. K., 1986, Analysis of an orthotropic thick-walled cylinder under primary creep conditions, International Journal of Pressure Vessels and Piping 23 : 165-185.
[7] Le Moal P., Perreux D., 1994, Evaluation of creep compliances of unidirectional fibre-reinforced composites, Composites Science and Technology 51: 469-477.
[8] Singh S.B., Ray S., 2002, Modeling the anisotropy and creep in orthotropic aluminum–silicon carbide composite rotating disc, Mechanics of Materials 34 : 363-372.
[9] Yang J.L., Zhang Z., Schlarb A.L., Friedrich K., 2006, On the characterization of tensile creep resistance of polyamide 66 nanocomposites. Part II: Modeling and prediction of long-term performance, Polymer 47 : 6745- 6758.
[10] Loghman A. , Shokouhi N., 2009, Creep damage evaluation of thick-walled spheres using a long-term creep constitutive model, Journal of Mechanical Science and Technology 23 : 2577-2582.
[11] Aleayoub S.M.A., Loghman A., 2010, Creep stress redistribution analysis of thick-walled FGM sphere, Journal of Solid Mechanics 2 : 115-128.
[12] Choi H.J., Bae D.H., 2011, Creep properties of aluminum-based composite containing multi-walled carbon nanotubes, Scripta Materialia 65 : 194-197.
[13] Jia Y., Peng K., Gong X.L., Zhang Z., 2011, Creep and recovery of polypropylene/carbon nanotube composites, International Journal of Plasticity 27 : 1239-1251.
[14] Loghman A., Ghorbanpour Arani A., Aleayoub S.M.A., 2011, Time-dependent creep stress redistribution analysis of thick-walled functionally graded spheres, Mechanics of Time-Dependent Materials 15 : 353-365.
[15] Loghman A., Ghorbanpour Arani A., Shajari A. R., Amir S., 2011, Time-dependent thermo- elastic creep analysis of rotating disk made of Al–SiC composite, Archive of Applied Mechanics 81 : 1853-1864.
[16] Loghman A., Askari Kashan A., Younesi Bidgoli M., Shajari A. R., Ghorbanpour Arani A., 2013, Effect of particle content, size and temperature on magneto-thermo-mechanical creep behavior of composite cylinders, Journal of Mechanical Science and Technology 27: 1041-1051.
[17] Loghman A., Atabakhshian V., 2012, Semi-analytical solution for time-dependent creep analysis of rotating cylinders made of anisotropic exponentially graded material (EGM), Journal of Solid Mechanics 4 (3): 313-326.
[18] Nejad M. Z., Kashkoli M. D., 2014, Time-dependent thermo-creep analysis of rotating FGM thick-walled cylindrical pressure vessels under heat flux, International Journal of Engineering Science 82 : 222-237.
[19] Mileiko S.T., 1970, Steady state creep of a composite with short fibers, Journal of Materials Science 5 : 254-261.
[20] Monfared V., 2015, A displacement based model to determine the steady state creep strain rate of short fiber composites, Composites Science and Technology 107: 18-28.
[21] Monfared V., Mondali M., 2014, Semi-analytically presenting the creep strain rate and quasi shear-lag model as well as FEM prediction of creep debonding in short fiber, Composites Materials and Design 54 : 368-374.
[22] Tang L.C., Wang X., Gong L.X., Peng K., Zhao L., Chen Q., Wu L.B., Jiang J.X., Lai G.Q., 2014, Creep and recovery of polystyrene composites filled with graphene additives, Composites Science and Technology 91: 63-70.
[23] Boresi A. P., Schmidt R. J., Sidebottom O. M., 1993, Advanced Mechanics of Materials, John Wiley & Sons .
[24] Ghorbanpour Arani A., Loghman A., Shajari A. R., Amir S., 2010, Semi-analytical solution of magneto-thermo elastic stresses for functionally graded variable thickness rotating disks, Journal of Mechanical Science and Technology 24 : 2107-2117.
[25] Hosseini Kordkheili S.A., Naghdabadi R., 2007, Thermo-elastic analysis of a functionally graded rotating disk, Composite Structures 79 : 508-516 .
[26] Loghman A., Ghorbanpour Arani A., Amir S., Vajedi S., 2010, Magnetothermoelastic creep analysis of functionally graded cylinders, International Journal of Pressure Vessels and Piping 87: 389-395.
[27] Mendelson A., 1968, Plasticity Theory and Applications, The Macmillan Company, New York .
