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A Numerical and Experimental Investigation into the Effect of Welding Parameters on Thermal History in Friction Stir Welded Copper Sheets
2
2
One of the important issues in the process of Friction Stir Welding (FSW) is to determine the thermal history and its distribution in the work piece during the welding process. Several analytical and empirical relations have been suggested to estimate the amount of heat transferred to the work piece; one of the relations is Frigaad relation. In the present study, thermal history was determined for joined parts of copper sheets under various welding conditions by Frigaad relation and numerical method. Furthermore, results were compared with the experimental results which had a good agreement with numerical results. In addition, the thermal field was also determined for any welding conditions and at any given moment. By conducting this study, it is evident that the traverse velocity change mainly affects the amount oftransferred heat and change in rotational speed dramatically changes the temperature of the process.
1

1
9


A.
Alavi Nia
Mechanical Engineering Department, BuAli Sina University, Hamedan, Iran.
Mechanical Engineering Department, BuAli
Iran
alavi1338@yahoo.com


A.
Shirazi
Mechanical Engineering Department, BuAli Sina University, Hamedan, Iran.
Mechanical Engineering Department, BuAli
Iran
a.shirazi.h@gmail.com
Friction stir welding
Finite element
Copper
Thermal history
Welding parameters
[[1] Y.F. Sun, H. Fujii, The effect of SiC particles on the microstructure and mechanical properties of friction stir welded pure copper joints, Mater. Sci.Eng. A, 528 (2011) 54705475.##[2] A. Bagheri, T. Azdast, A. Doniavi, An experimental study on mechanical properties of friction stir welded ABS sheets, Mater. Des., 43 (2013) 402409.##[3] M. Pirizadeh, T. Azdast, S. Rash Ahmadi, S. M. Shishavan, A. Bagheri, Friction stir welding of thermoplastics using a newly designed tool, Mater. Des., 54 (2014) 342347.##[4] S. Khalilpourazary, R.A. Behnagh, R. Mahdavinejad, N. Payam, Dissimilar friction stir lap welding of AlMg to CuZn34: Application of grey relational analysis for optimizing process parameters, J. Comput. Appl. Res. Mech. Eng., 4 (2014) 8188.##[5] X. Cao, M. Jahazi, Frictionstir welding of dissimilar AA 2024T3 to AZ31BH24 alloys, Int. J. Adv. Manuf. Technol., 46 (2010) 12591259.##[6] Y. Zhao, S. Jiang, S. Yang, Z. Lu, K. Yan, Influence of cooling conditions on joint properties and microstructures of aluminum and magnesium dissimilar alloys by friction stir welding, Int. J. Adv. Manuf. Technol., 83 (2016) 673679.##[7] Z. Zhang, H.W. Zhang, A fully coupled thermomechanical model of friction stir welding, Int. J. Adv. Manuf. Technol., 37 (2008) 279293.##[8] Y.F. Sun, H. Fujii, Investigation of the welding parameter dependent microstructure and mechanical properties of friction stir welded pure copper, Mater. Sci. Eng. A., 527 (2010) 68796886.##[9] Y.M. Hwang, Z.W. Kang, Y.C. Chiou, H.H. Hsu, Experimental study on temperature distributions within the work piece during friction stir welding of aluminum alloys, Int. J. Mach. Tools Manuf., 48 (2008) 778787.##[10] P. Xue, B.Xiao, Q. Zhang, Z. Ma, Achieving friction stir welded pure copper joints with nearly equal strength to the parent metal via additional rapid cooling, Scripta Mater., 64 (2011) 10511054.##[11] H. Fujii, L. Cui, N. Tsuji, M. Maeda, K. Nakata, K. Nogi, Friction stir welding of carbon steels, Mater. Sci. Eng. A., 429 (2006) 5057.##[12] M. Imam, K. Biswas, V. Racherla, On use of weld zone temperatures for online monitoring of weld quality in friction stir welding of naturally aged aluminium alloys, Mater. Des., 52 (2013) 730739.##[13] G. Buffa, A. Ducato, L. Fratini, Numerical procedure for residual stresses prediction in friction stir welding, Finite Element. Anal. Des., 47 (2011) 470 476.##[14] D. Jacquin, B. De Meester, A. Simar, D. Deloison, F. Montheillet, C. Desrayaud, A simple Eulerian thermo mechanical modeling of friction stir welding, J. Mater. Process. Technol., 211 (2011) 5765.##[15] F. AlBadour, N. Merah, A. Shuaib, A. Bazoune, Coupled Eulerian Lagrangian finite element modeling of friction stir welding processes, J. Mater. Process. Technol., 213 (2013) 14331439.##[16] A.R. Darvazi, M. Iranmanesh, Prediction of asymmetric transient temperature and longitudinal residual stress in friction stir welding of 304L stainless steel, Mater. Des., 55 (2014) 812820.##[17] P. Prasanna, B.S. Rao, G.K. Rao, Finite element modeling for maximum temperature in friction stir welding and its validation, Int. J. Adv. Manuf. Technol., 51 (2010) 925933.##[18] A. Alavi Nia, H. Omidvar, S. Nourbakhsh, Investigation of the effects of thread pitch and water cooling action on the mechanical strength and microstructure of friction stir processed AZ31, Mater. Des., 52 (2013) 615620.##[19] R.S. Mishra, Z. Ma, Friction stir welding and processing, Mater. Sci. Eng. R: Reports, 50 (2005) 178.##[20] P.J. Blau, Friction Science and Technology: From Concepts to Applications, 2nd ed., Taylor & Francis, (2012).##[21] L.Z. Jin, R. Sandstrm, Numerical simulation of residual stresses for friction stir welds in copper canisters, J. Manuf. Process., 14 (2012) 7181.##[22] F.P. Incropera, T.L. Bergman, D.P. DeWitt, A.S. Lavine, Foundations of Heat Transfer, Wiley, Limited, (2013).##[23] P. Ulysse, Threedimensional modeling of the friction stirwelding process, Int. J. Mach. Tools Manuf., 42 (2002) 15491557.##[24] J. Hilgert, H.N.B. Schmidt, J.F. Dos Santos, N. Huber, Thermal models for bobbin tool friction stir welding, J. Mater. Process. Technol., 211 (2011) 197204.##]
Coupled Thermoelastic Analysis of Semielliptical Crack in Thickwalled Cylinder Considering GreenLindsay and GreenNaghdi Type II Theories
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2
In this paper, the stress intensity factors for semielliptical cracks in a homogeneous isotropic cylinder have been determined. Athickwalled cylinder is subjected to a onedimensional axisymmetric thermal shock on the outer surface according to the classic thermo elasticity (CTE), GreenLindsay (GL), and GreenNaghdi (GN) theories. The effect of temperaturestrain coupling and the effect of inertia term in governing equations are considered. The semielliptical crack stress intensity factors (SIFs) at the deepest and surface pointsare determined using weight function method. The comparison between the temperature, stress, and SIF obtained from CTE, GL, and GN theories shows the different behavior of generalized theories and CTE. By considering relaxation times, prediction of higher temperature and stress values, in contrast to CTE theory, will be resulted. Furthermore, the SIF resulted from generalized theories is significantly higher than CTE theory. The temperature, stress, and maximum SIF obtained for GN II is higher than GL theory.
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11
26


E.
Farahinezhad
Aerospace Engineering Department, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran.
Aerospace Engineering Department, Shahid
Iran
efarahinezhad@yahoo.com


A.
Nouri
Aerospace Engineering Department, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran.
Aerospace Engineering Department, Shahid
Iran
anouri@ssau.ac.ir


E.
Hosseinian
Aerospace Engineering Department, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran.
Aerospace Engineering Department, Shahid
Iran
ehosseinian@yahoo.com
GreenNaghdi theory
GreenLindsay theory
Weight function method
Thermal shock
Semielliptical crack in cylinder
[[1] A.E. Green, K.A. Lindsay, Thermoelasticity, J. Elast., 2(1) (1972) 17.##[2] A.E. Green, P.M. Naghdi, A reexamination of the basic postulate of thermomechanics, Proceedings of the Royal Society of London, 432(1885) (1991) 171194.##[3] J.J. Vadasz, S. Govender, P. Vadasz, Heat transfer enhancement in nanofluids suspensions: possible mechanisms and explanations, Int. J. Heat. Mass. Trans., 48(13) (2005) 26732683.##[4] A. Miranville, R. Quintanilla, A generalization of the Caginalp phase  field system based on the Cattaneo law, Nonlinear. Anal. Theor., 71(5) (2009) 22782290.##[5] G.E. SpinosaParedes, E.G. EspinosaMartinez, Fuel rod model based on nonFourier heat conduction equation, Ann. Nucl. Energy, 36(5) (2009) 680693.##[6] J.A. Lopez Molina, M.J. Rivera, M. Trujillo, E.J. Berjano, Effect of the thermal wave in radiofrequency ablation modelling: an analytical study, Phys. Med. Biol., 53(5) (2008) 14471462.##[7] H.H. Sherief, M.N. Anwar, A problem in generalized thermoelasticity for an infinitely long annular cylinder, Int. J. Eng. Sci., 26(3) (1988) 301306.##[8] H.H. Sherief, M.N. Anwar, A problem in generalized thermoelasticity for an infinitely long annular cylinder composed of two different materials, Actamechanica, 80(12) (1989) 137149.##[9] J.W. Fu, Z.T. Chen, L.F. Qian, Coupled thermoelastic analysis of a multilayered hollow cylinder based on the CT theory and its application on functionally graded materials, Compos. Struct., 131(1) (2015) 139150.##[10] T. Darabseh, N. Yilmaz, M. Bataineh, Transient thermoelasticity analysis of functionally gradedthick hollow cylinder based on GreenLindsay model, Int. J. Mech. Mater. Des., 8 (2012) 247255.##[11] R. Simpson, J. Trevelyan, Evaluation of J1 and J2 integrals for curved cracks using an enriched boundary element method, Eng. Fract. Mech., 78(4) (2011) 623637.##[12] P. HosseiniTehrani, M.R. Eslami, S. Azari, Analysis of thermoelastic crack problems using GreenLindsay theory, J. Thermal. Stress., 29(4) (2006) 317330.##[13] S.H. Mallik, M. Kanoria, A unified generalized thermoelasticity formulation: application to pennyshaped crack analysis, J. Thermal. Stress., 32(9) (2009) 943965.##[14] X.B. Lin, R.A. Smith, Numerical analysis of fatigue growth of external Surface cracks in pressurized cylinders, Int. J. Pres. Ves. Pip., 71(3) (1997) 293300.##[15] H.J. Petroski, J.D. Achenbach, Computation of the weight function from a stress intensity factor, Eng. Fract. Mech., 27(6) (1987) 697715.##[16] A.R. Shahani, S. M. Nabavi, Closedform stress intensity factors for a semielliptical crack in a thickwalled cylinder under thermal stress, Int. J. Fatigue., 29(8) (2006) 926933.##[17] S.M. Nabavi, A.R. Shahani, Thermal stress intensity factors for a cracked cylinder under transient thermal loading, Int. J. Pres. Ves. Pip., 86 (2009) 153163.##[18] H.Y. Lee, Y.W. Kim, I. Yun, Stress intensity factor solution for radial and circumferential cracks in hollow cylinders using indirect boundary integral, Int. J. Pres. Ves. Pip., 69(1) (1996) 4552.##[19] I.V. Varfolomeyev, L. Hodulak, Improved weight functions for infinitely long axial and circumferential cracks in a cylinder, Int. J. Pres. Ves. Pip., 70(2) (1197) 103109.##[20] M.B. Nazari, O. Asemi, Stress intensity factor for a longitudinal semielliptical crack in a thickwalled cylinder under hyperbolic thermal loading, Modares Mechanical Engineering, 14(6) (2015) 143151.##[21] R.B. Hetnarski, M.R. Eslami, Thermal Stresses: Advanced Theory and Applications, New York, Springer, (2009) 255256.##[22] A. Bagri, M.R. Eslami,A unified generalized thermoelasticity; solution for cylinders and spheres, Int. J. Mech. Sci., 49(12) (2007) 13251335.##[23] H.F. Bueckner, principle for the computation of stress intensity factors, Zeitchrift fur Angewandte Math. Mech., 50(9) (1970) 129146.##[24] J.R. Rice, Remarks on elastic cracktip stress fields, Int. J. Solids. Struct., 8(6) (1972) 751758.##[25] S.M. Nabavi, A.R. Shahani, Thermal stress intensity factors for a cracked cylinder under transient thermal loading, Int. J. Pres. Ves. Pip., 86(2) (2009) 153163.##[26] K.Y. Lee, K.B. Sim, Thermal shock stress intensity factor by bueckners weight function method, Eng. Fract. Mech., 37(4) (1190) 779804.##[27] G. Honig, U. Hirdes, A method for the numerical inversion of Laplace transform, J. Comput. Appl. Math., 10(1) (1984) 113132.##]
Effect of Exponential Stress Resultant on Buckling Response of Functionally Graded Rectangular Plates
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2
The effect of exponential stress resultant on buckling response of functionally graded rectangular plates based on exponential shear deformation theory is investigated in this paper. In exponential shear deformation theory, exponential functions are used in terms of thickness coordinate to include the effect of the transverse shear deformation and rotary inertia. The material properties of the functionally graded plate are assumed to vary according to a power low form according to the thickness direction. The equations of motions are derived based on Hamiltons principle. To validate the formulations, present results in specific cases are compared with available results in literature and good agreement could be seen. Finally, the influence of different parameters like power law indexes, aspect ratio, and the thickness ratio on the nondimensional critical buckling load of rectangular FG plates are presented and discussed in detail.
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33


K.
Khorshidi
Mechanical Engineering Department, Faculty of Engineering, Arak University, Arak, Iran.
Mechanical Engineering Department, Faculty
Iran
kkhorshidi@araku.ac.ir


A.
Fallah
Mechanical Engineering Department, Faculty of Engineering, Arak University, Arak, Iran.
Mechanical Engineering Department, Faculty
Iran
falah.abolfazl67@gmail.com
Buckling
Functionally graded
Rectangular plate
Navier
[[1] E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, J. Appl. MechT ASME., 12 (1945) 6977.##[2] R.D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, J. Appl. MechT ASME., 18 (1951) 3138.##[3] B. Mokhtar, T. Abedlouahed, A. Abbas, M. Abdelkader, Buckling analysis of functionally graded plates with simply supported edges, Leonardo J. Sci., 8 (2013) 2132.##[4] M. S¸im¸sek, J.N. Reddy, Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory, Int. J. Eng. Sci., 64 (2013) 3753.##[5] H. Matsunaga, Free vibration and stability of functionally graded plates according to a 2D higherorder deformation theory, Compos. Struct., 82 (2008) 499512.##[6] S. Yahia, H.A. Atmane, M.S.A. Houari, A. Tounsi, Wave propagation in functionally graded plates with porosities using various higherorder shear deformation plate theories, Struct. Eng. Mech., 53(6) (2015) 11431165.##[7] P. Malekzadeh, A.A. Beni, Free vibration of functionally graded arbitrary straightsided quadrilateral plates in thermal environment, Compos. Struct., 92 (2010) 27582767.##[8] V. Ungbhakorn, N. Wattanasakulpong, Thermoelastic vibration analysis of thirdorder shear deformable functionally graded plates with distributed patch mass under thermal environment, Appl. Acousf., 74 (2013) 10451059.##[9] J. Reddy, Microstructuredependent couple stress theories of functionally graded beams, J. Mech. Phys. Solid., 59(11) (2011) 23822399.##[10] A.S. Sayyad, Y.M. Ghugal, Bending and free vibration analysis of thick isotropic plates by using exponential shear deformation theory, Appl, Comput, Mech., 6(1) (2012) 6582.##[11] K. Khorshidi, Effect of hydrostatic pressure on vibrating rectangular platescoupled with fluid, Sci. Iran: Trans A: Civ. Eng., 17(6) (2010) 41529.##[12] N.R. Senthilnathan, K.H. Lim, K.H. Lee, S.T. Chow, Buckling of shear deformable plates. AIAA J., 25(9) (1987) 126871.##[13] K. Khorshidi, M. Khodadadi, Precision closedform solution for outofplane vibration of rectangular plates via trigonometric shear deformation theory, Compos. Struct., 3(1) (2016) 3143.##[14] K. Khorshidi, M. Pagoli, Analytical solution for sound radiation of vibrating circular plates coupled with piezoelectric layers, Compos. Struct., 3(2) (2016) 8998.##[15] H.T. Thai, D.H. Choi, Sizedependent functionally graded Kirchhoff and Mindlin plate models based on a modified couple stress theory, Compos. Struct., 95 (2013) 142153.##[16] K. Khorshidi, S. Farhadi, Free vibration analysis of a laminated composite rectangular plate in contact with a bounded fluid, Compos. Struct., 104 (2013) 176186.##]
Analytical and Numerical Bending Solutions for Thermoelastic Functionally Graded Rotating Disks with Nonuniform Thickness Based on Mindlin’s Theory
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2
In this paper, analytical and numerical solutions for thermoelastic functionally graded (FG) rotating disks with nonuniform thickness under lateral pressure are studied. The study is performed based on Mindlin’s theory. Considering the fact that bending and thermal loadings in analysis of rotating disk are necessary to study the components such as brake and clutch disks. The governing differential equations arising from FG rotating disk are firstly extracted. Then, Liao’s homotopy analysis method (HAM) and Adomian’s decomposition method (ADM) are applied as two analytical approaches. Calculation of stress components and then comparison of the results of HAM and ADM with RungeKutta’s and FEM are performed to survey compatibility of their results. The distributions of radial and circumferential stresses of rotating disks are studied and discussed. Finaly, the effects of temperature, grading index, angular velocity and lateral loading on the components of displacement and stresses are presented and discussed, in detail.
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35
49


A.
Hassani
Mechanical Engineering Department, Babol Noshirvani University of Technology, Babol, Iran.
Mechanical Engineering Department, Babol
Iran
hassani@nit.ac.ir


M.
Gholami
Mechanical Engineering Department, Babol Noshirvani University of Technology, Babol, Iran.
Mechanical Engineering Department, Babol
Iran
mohammadpend@gmail.com
Uniform thickness functionally graded rotating disk
Thermoelastic bending loading
Homotopy analysis method
Adomian’s decomposition method
[[1] M. Bayat, B.B. Sahari, M. Saleem, A. Ali, S.V. Wong, Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory, Appl. Math. Model., 33 (2009) 42154230.##[2] A.N. Eraslan, Y. Orcan, Elasticplastic deformation of a rotating solid disk of exponentially varying thickness. Mech. Mater., 34 (2002) 42332.##[3] S.A.H. Kordkheili, R. Naghdabadi, Thermoelastic analysis of a functionally graded rotating disk, Compos. Struct., 79 (2006) 50816.##[4] M. Bayat, M. Saleem, B.B. Sahari, A.M.S. Hamouda, E. Mahdi, Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads, Int. J. Pres. Ves. Pip., 86 (2009) 357372.##[5] M.H. Hojjati, S. Jafari, Variational iteration solution of elastic non uniform thickness and density rotating disks, Far. East. J. Appl. Math., 29 (2007) 185200.##[6] M.H. Hojjati, S. Jafari, Semiexact solution of elastic nonuniform thickness and density rotating disks by homotopy perturbation and Adomian’s decomposition methods. Part I: Elastic solution, Int. J. Pres. Ves. Pip., 85 (2008) 871879.##[7] M.H. Hojjati, S. Jafari, Semiexact solution of nonuniform thickness and density rotating disks. Part II: Elastic strain hardening solution, Int. J. Pres. Ves. Pip., 86 (2009) 30718.##[8] M.H. Hojjati, A. Hassani, Theoretical and numerical analyses of rotating discs of nununiform thickness and density, Int. J. Pres. Ves. Pip., 25 (2008) 695700.##[9] A. Hassani, M.H. Hojjati, G. Farrahi, R.A. Alashti, Semiexact elastic solutions for thermomechanical analysis of functionally graded rotating disks, Compos. Struct., 93 (2011) 32393251.##[10] A. Hassani, M.H. Hojjati, G. Farrahi, R.A. Alashti, Semiexact solution for thermomechanical analysis of functionally graded elasticstrain hardening rotating disks, Commun. Nonlinear. Sci. Num. Simulat., 17 (2012) 37473762.##[11] A. Hassani, M.H. Hojjati, E. Mahdavi, R.A. Alashti, G. Farrahi, Thermomechanical analysis of rotating disks with nonuniform thickness and material properties, Int. J. Pres. Ves. Pip., 98 (2012) 95101.##[12] A. Hassani, M.H. Hojjati, A.R. Fathi, InPlane free vibrations of annular elliptic and circular elastic plates of nonuniform thickness under classical boundary conditions, Int. Rev. Mech. Eng., 4 (2010) 112119.##[13] G. Adomian, Solving frontier problems of physics: the decomposition method. Boston: Kluwer Academic; 1994.##[14] S.J. Liao, Beyond perturbation: introduction to the homotopy analysis method. Boca Raton: Chapman and Hall/CRC Press; 2003.##[15] S.A. Hosseini Kordkheili, M. Livani, Thermoelastic creep analysis of a functionally graded various thickness rotating disk with temperaturedependent material properties, Int. J. Pres. Ves. Pip., (2013) 6374.##[16] M. Bayat, M. Rahimi, M. Saleem, A.H. Mohazzab, I. Wudtke, H. Talebi, Onedimensional analysis for magnetothermomechanical response in a functionally graded annular variablethickness rotating disk, Appl. Math. Model., 38 (2014) 46254639.##[17] D. Ting, D. HongLiang, Thermoelastic analysis of a functionally graded rotating hollow circular disk with variable thickness and angular speed, Appl. Math. Model., 40 (2016) 76897707.##[18] HongLiang Dai, ZhenQiu Zheng, Ting Dai, In vestigation on a rotating FGPM circular disk under a coupled hygrothermal field, Appl. Math. Model., 46 (2017) 2847.##[19] D. Ting, D. HongLiang, An analysis of a rotating (FGMEE) circular disk with variable thickness under thermal environment, Appl. Math. Model., 45 (2017) 900924.##[20] R. Szilard, Theories and applications of plate analysis: Classical, Numerical and Engineering Methods, John Wiley & Sons, Inc; 2004.##[21] S. Chakraverty, Vibration of plates, New York: CRC Press; Taylor & Francis group; 2009.##[22] S.S. Rao, Vibration of continuous systems, John Wiley & Sons, Inc; 2007.##[23] J.N. Reddy, C.M. Wang, S. Kitipornchai, Axisymmetric bending of functionally graded circular and annular plate, Eur. J. Mech. A/Solids 18 (1999) 185199.##[24] A.M. Wazwaz, Partial differential equations and solitary waves theory, Higher education Press, 2009.##[25] C.F. Gerald, P.O. Wheatley. Applied numerical analysis. 6th ed. California: AddisonWesley; 2002.##[26] User’s Manual of ANSYS 16.2, ANSYS Inc.; 2015.##]
Effect of Submerged Multipass Friction Stir Process on the Mechanical and Microstructural Properties of Al7075 Alloy
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2
The friction stir process (FSP) is a solidstate process which is used for severe plastic deformation of materials and modification in microstructure. The microstructure evolution, which iscaused by dynamic recrystallization, changes the mechanical properties of the material. In this study, the FSP of the surface of Al7075 alloy is carried out using 0% overlapping of passes. The FSP caused the nonuniform structure of the raw material with an average grain size of 18 micrometers to change into a uniform structure. This process refined the structure to the grain size of about 8.2 and 12.1 micrometersfor overlapped regions in water and air respectively. In order to study the mechanical properties, the tensile specimens were prepared in both parallel and perpendicular directions to the pin motion. Results showed an improvement in the yield stress, ultimate stress, and elongation of the specimens after FSP. Furtheremore, Vickers hardness of the overlapping specimens decreased compared to the raw materials after applying the FSP.
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51
56


S.H.
Nourbakhsh
Mechanical Engineering Department, Shahrekord University, Shahrekord, Iran.
Mechanical Engineering Department, Shahrekord
Iran
nourbakhsh.sh@eng.sku.ac.ir


A.
Atrian
Mechanical Engineering Department, Najafabad Branch, Islamic Azad University, Najafabad, Iran.
Mechanical Engineering Department, Najafabad
Iran
amiratrian@gmail.com
Friction stir process (FSP)
Submerged
Overlap
Al7075
Characterization
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Evaluation of SIF in FGM Thickwalled Cylindrical Vessel
2
2
In the present research, an internal semielliptical surface crack in a FGM thickwalled cylindrical vessel under internal pressure is assumed. The Poisson ratio is constant throughout the vessel and the material is considered to be isotropic with exponentially varying elastic modulus. The KI is calculated using the BEM and FEM for different values of the relative depths of crack and material gradients. The research results show that increasing the E2/E1, decreases SIF and when E2/E1 = 10, the SIF of the FGM vessel is often lower than the corresponding homogeneous vessel. It can be observed that the relation between KI and internal pressure in FGM is linear as for homogeneous materials, so that increasing internal pressure KI increase as the same. The obtained results of BEM and FEM methods show that good agreement between the results can be seen.
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N.
Habibi
Mechanical Engineering Department, University of Kurdistan, Sanandaj, Iran.
Mechanical Engineering Department, University
Iran
n.habibi@uok.ac.ir


S.
Asadi
Mechanical Engineering Department, University of Kurdistan, Sanandaj, Iran.
Mechanical Engineering Department, University
Iran
samanasadi1234@gmail.com


R.
Moradikhah
Mechanical Engineering Department, University of Kurdistan, Sanandaj, Iran.
Mechanical Engineering Department, University
Iran
reza_moradikha@yahoo.com
FGM
BEM
Stress intensity factor
Pressure vessel
XFEM
FM
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