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Original Articles

Thermoelastic contact problem of a magneto-electro-elastic layer indented by a rigid insulating punch

Pages 7231-7245 | Received 18 Jul 2021, Accepted 14 Oct 2021, Published online: 11 Nov 2021

References

  • TL. Wu and J. H. Huang, Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases, Int. J. Solids Struct., vol. 37, no. 21, pp. 2981–3009, 2000. DOI: 10.1016/S0020-7683(99)00116-X.
  • M. Avellaneda and G. Harshé, Magnetoelectric effect in piezoelectric/magnetostrictive multilayer (2-2) composites, J. Intell. Mater. Syst. Struct., vol. 5, no. 4, pp. 501–513, 1994. DOI: 10.1177/1045389X9400500406.
  • A. E. Giannakopoulos and S. Suresh, Theory of indentation of piezoelectric materials, Acta Mater., vol. 47, no. 7, pp. 2153–2164, 1999. DOI: 10.1016/S1359-6454(99)00076-2.
  • A. E. Giannakopoulos and A. Z. Parmaklis, The contact problem of a circular rigid punch on piezomagnetic materials, Int. J. Solids Struct., vol. 44, no. 14–15, pp. 4593–4612, 2007. DOI: 10.1016/j.ijsolstr.2006.11.040.
  • R. Patra, S. P. Barik, and P. K. Chaudhuri, Frictionless contact of a rigid punch indenting an elastic layer having piezoelectric properties, Acta Mech., vol. 228, no. 2, pp. 367–384, 2017. DOI: 10.1007/s00707-016-1700-8.
  • B. L. Wang and J. C. Han, A circular indenter on a piezoelectric layer, Arch. Appl. Mech., vol. 76, no. 7–8, pp. 367–379, 2006. DOI: 10.1007/s00419-006-0029-5.
  • P. F. Hou and W. H. Zhang, The electro-mechanics of a coating/substrate system under charged spherical contact, Math. Mech. Solids, vol. 25, no. 1, pp. 60–96, 2020. DOI: 10.1177/1081286519865773.
  • Y. F. Wu, H. Y. Yu, and W. Q. Chen, Indentation responses of piezoelectric layered half-space, Smart Mater. Struct., vol. 22, no. 1, pp. 015007, 2013. DOI: 10.1088/0964-1726/22/1/015007.
  • Y. T. Zhou and K. Y. Lee, Contact problem for magneto-electro-elastic half-plane materials indented by a moving punch. Part I: Closed-form solutions, Int. J. Solids Struct., vol. 49, no. 26, pp. 3853–3865, 2012. DOI: 10.1016/j.ijsolstr.2012.08.017.
  • Y. T. Zhou and K. Y. Lee, Contact problem for magneto-electro-elastic half-plane materials indented by a moving punch. Part II: Numerical results, Int. J. Solids Struct., vol. 49, no. 26, pp. 3866–3882, 2012. DOI: 10.1016/j.ijsolstr.2012.08.018.
  • Y. T. Zhou and K. Y. Lee, Exact solutions of a new, 2D frictionless contact model for orthotropic piezoelectric materials indented by a rigid sliding punch, Philos. Mag., vol. 92, no. 15, pp. 1937–1965, 2012. DOI: 10.1080/14786435.2012.661481.
  • B. Singh, J. Rokne, and R. Dhaliwal, The study of dynamic behavior of functionally graded piezoelectric materials and an application to a contact problem, Quart. Appl. Math. ., vol. 65, no. 1, pp. 155–162, 2007. DOI: 10.1090/S0033-569X-07-01029-0.
  • J. Y. Liou and J. C. Sung, Coupled electro-mechanical surface responses induced by electro-mechanical loading moving steadily on piezoelectric half-plane solids, Appl. Math. Modell., vol. 40, no. 13–14, pp. 6256–6266, 2016. DOI: 10.1016/j.apm.2016.02.018.
  • İ. Çömez, Frictional moving contact problem of a magneto-electro-elastic half plane, Mech. Mater., vol. 154, pp. 103704, 2021. DOI: 10.1016/j.mechmat.2020.103704.
  • L. L. Ke, J. Yang, S. Kitipornchai, and Y. S. Wang, Electro-mechanical frictionless contact behavior of a functionally graded piezoelectric layered half-plane under a rigid punch, Int. J. Solids Struct., vol. 45, no. 11–12, pp. 3313–3333, 2008. DOI: 10.1016/j.ijsolstr.2008.01.028.
  • L. L. Ke, Y. S. Wang, J. Yang, and S. Kitipornchai, Sliding frictional contact analysis of functionally graded piezoelectric layered half-plane, Acta Mech., vol. 209, no. 3–4, pp. 249–268, 2010. DOI: 10.1007/s00707-009-0181-4.
  • J. Ma, L. L. Ke, and Y. S. Wang, Frictionless contact of a functionally graded magneto-electro-elastic layered half-plane under a conducting punch, Int. J. Solids Struct., vol. 51, no. 15–16, pp. 2791–2806, 2014. DOI: 10.1016/j.ijsolstr.2014.03.028.
  • R. Elloumi, S. El-Borgi, M. A. Guler, and I. Kallel-Kamoun, The contact problem of a rigid stamp with friction on a functionally graded magneto-electro-elastic half-plane, Acta Mech., vol. 227, no. 4, pp. 1123–1156, 2016. DOI: 10.1007/s00707-015-1504-2.
  • J. Su, L. L. Ke, S. El-Borgi, Y. Xiang, and Y. S. Wang, An effective method for the sliding frictional contact of a conducting cylindrical punch on FGPMs, Int. J. Solids Struct., vol. 141–142, pp. 127–136, 2018. DOI: 10.1016/j.ijsolstr.2018.02.017.
  • J. R. Barber, Some thermoelastic contact problems involving frictional heating, Q. J. Mech. Appl. Math., vol. 29, no. 1, pp. 1–13, 1976. DOI: 10.1093/qjmam/29.1.1.
  • D. A. Hills and J. R. Barber, Steady motion of an insulating rigid flat-ended punch over a thermally conducting half-plane, Wear, vol. 102, no. 1–2, pp. 15–22, 1985. DOI: 10.1016/0043-1648(85)90087-0.
  • D. A. Hills and J. R. Barber, Steady sliding of a circular cylinder over a dissimilar thermally conducting half-plane, Int. J. Mech. Sci., vol. 28, no. 9, pp. 613–622, 1986. DOI: 10.1016/0020-7403(86)90076-7.
  • V. J. Pauk, Plane contact problem for a layer involving frictional heating, Int. J. Heat Mass Transf., vol. 42, no. 14, pp. 2583–2589, 1999. DOI: 10.1016/S0017-9310(98)00330-5.
  • S. P. Barik, M. Kanoria, and P. K. Chaudhuri, Steady state thermoelastic contact problem in a functionally graded material, Int. J. Eng. Sci., vol. 46, no. 8, pp. 775–789, 2008. DOI: 10.1016/j.ijengsci.2008.02.003.
  • J. Liu, L. L. Ke, and Y. S. Wang, Two-dimensional thermoelastic contact problem of functionally graded materials involving frictional heating, Int. J. Solids Struct., vol. 48, no. 18, pp. 2536–2548, 2011. DOI: 10.1016/j.ijsolstr.2011.05.003.
  • J. Liu, L. L. Ke, Y. S. Wang, J. Yang, and F. Alam, Thermoelastic frictional contact of functionally graded materials with arbitrarily varying properties, Int. J. Mech. Sci., vol. 63, no. 1, pp. 86–98, 2012. DOI: 10.1016/j.ijmecsci.2012.06.016.
  • P. Chen, S. Chen, and Z. Peng, Thermo-contact mechanics of a rigid cylindrical punch sliding on a finite graded layer, Acta Mech., vol. 223, no. 12, pp. 2647–2665, 2012. DOI: 10.1007/s00707-012-0732-y.
  • P. Chen and S. Chen, Thermo-mechanical contact behavior of a finite graded layer under a sliding punch with heat generation, Int. J. Solids Struct., vol. 50, no. 7–8, pp. 1108–1119, 2013. DOI: 10.1016/j.ijsolstr.2012.12.007.
  • H. J. Choi and G. H. Paulino, Thermoelastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation, J. Mech. Phys. Solids, vol. 56, no. 4, pp. 1673–1692, 2008. DOI: 10.1016/j.jmps.2007.07.011.
  • M. N. Balci, S. Dag, and B. Yildirim, Subsurface stresses in graded coatings subjected to frictional contact with heat generation, J. Therm. Stresses, vol. 40, no. 4, pp. 517–534, 2017. DOI: 10.1080/01495739.2016.1261261.
  • R. Kulchytsky-Zhyhailo and A. S. Bajkowski, Axisymmetrical problem of thermoelasticity for halfspace with gradient coating, Int. J. Mech. Sci., vol. 106, pp. 62–71, 2016. DOI: 10.1016/j.ijmecsci.2015.12.002.
  • D. M. Perkowski, R. Kulchytsky-Zhyhailo, and W. Kołodziejczyk, On axisymmetric heat conduction problem for multilayer graded coated half-space, JTAM, vol. 56, no. 1, pp. 147–156, 2018. DOI: 10.15632/jtam-pl.56.1.147.
  • T. Wang, X. Ma, L. Wang, L. Gu, L. Yin, J. Zhang, L. Zhan, and D. Sun, Three-dimensional thermoelastic contact model of coated solids with frictional heat partition considered, Coatings, vol. 8, no. 12, pp. 470, 2018. DOI: 10.3390/coatings8120470.
  • X. Zhang, J. Liu, H. Shen, and Y. Wang, Elastic response of coating materials in thermoelasticity: Indented by a hot punch, J. Therm. Stresses, vol. 42, no. 4, pp. 475–489, 2019. DOI: 10.1080/01495739.2018.1471368.
  • X. J. Tian, Y. T. Zhou, X. F. Guan, L. H. Wang, and S. H. Ding, The frictional contact problem of a rigid punch sliding over thermoelectric materials, Int. J. Solids Struct., vol. 200–201, pp. 145–157, 2020. DOI: 10.1016/j.ijsolstr.2020.04.034.
  • A. Nili, S. Adibnazari, and A. Karimzadeh, Stress field in the thermoelastic rolling contact of graded coatings, Arch. Appl. Mech., vol. 88, no. 10, pp. 1805–1814, 2018. DOI: 10.1007/s00419-018-1405-7.
  • Y. Alinia, A. Aali, and M. A. Guler, Thermoelastic rolling contact problem of an FGM layered elastic solid. In: S. A Paipetis and Ferri M. H. Aliabadi (eds.), Key Engineering Materials, Vol. 827, pp. 434–439, Trans Tech Publications Ltd., 2020. DOI: 10.4028/www.scientific.net/KEM.827.434.
  • İ. Çömez, Thermoelastic receding contact problem of a layer resting on a half plane with frictional heat generation, J. Therm. Stresses, vol. 44, no. 5, pp. 566–581, 2021. DOI: 10.1080/01495739.2021.1873082.
  • Y. T. Zhou and K. Y. Lee, Thermo-electro-mechanical contact behavior of a finite piezoelectric layer under a sliding punch with frictional heat generation, J. Mech. Phys. Solids, vol. 59, no. 5, pp. 1037–1061, 2011. DOI: 10.1016/j.jmps.2011.02.004.
  • J. Ma, L. L. Ke, Y. S. Wang, and S. M. Aizikovich, Thermal contact of magneto-electro-elastic materials subjected to a conducting flat punch, J. Strain Anal. Eng. Des., vol. 50, no. 7, pp. 513–527, 2015. DOI: 10.1177/0309324715591939.
  • J. Ma, S. El-Borgi, L. L. Ke, and Y. S. Wang, Frictional contact problem between a functionally graded magnetoelectroelastic layer and a rigid conducting flat punch with frictional heat generation, J. Therm. Stresses, vol. 39, no. 3, pp. 245–277, 2016. DOI: 10.1080/01495739.2015.1124648.
  • F. Erdogan, Mixed boundary value problems in mechanics. In: S. Nemat-Nasser (ed.), Mechanics Today, Vol. 4, pp. 1–84. Pergamon Press, Oxford, 1978.
  • H. J. Choi, On the plane contact problem of a functionally graded elastic layer loaded by a frictional sliding flat punch, J. Mech. Sci. Technol., vol. 23, no. 10, pp. 2703–2713, 2009. DOI: 10.1007/s12206-009-0734-4.
  • M. Abanoz, M. Yaylacı, and A. Birinci, Contact problems between a functionally graded layer and a rigid support, JSEAM, vol. 2, no. 1, pp. 25–35, 2019. DOI: 10.31462/jseam.2019.01025035.

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