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Exact analysis of the orientation-adjusted adhesive full stick contact of layered structures with the asymmetric bipolar coordinates. (English) Zbl 1495.42003

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
74B05 Classical linear elasticity
74M15 Contact in solid mechanics
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[1] Yao, H.; Li, P.; Cheng, W.; Yang, W.; Yang, Z.; Ali, H. P A.; Guo, H.; Tee, B. C K., Environment-resilient graphene vibrotactile sensitive sensors for machine intelligence, ACS Materials Letters, 2, 8, 986-992 (2020) · doi:10.1021/acsmaterialslett.0c00160
[2] Yao, H.; Yang, W.; Cheng, W.; Tan, Y. J.; See, H. H.; Li, S.; Ali, H. P A.; Lim, B. Z H.; Liu, Z.; Tee, B. C K., Near-hysteresis-free soft tactile electronic skins for wearables and reliable machine learning, Proceedings of the National Academy of Sciences of the United States of America, 117, 41, 25352-25359 (2020) · doi:10.1073/pnas.2010989117
[3] Zhang, T.; Zhang, Z.; Kim, K. S.; Gao, H., An accordion model integrating self-cleaning, strong attachment and easy detachment functionalities of gecko adhesion, Journal of Adhesion Science and Technology, 28, 3-4, 226-239 (2014) · doi:10.1080/01694243.2012.691788
[4] Pena-Francesch, A.; Akgun, B.; Miserez, A.; Zhu, W.; Gao, H.; Demirel, M. C., Pressure sensitive adhesion of an elastomeric protein complex extracted from squid ring teeth, Advanced Functional Materials, 24, 39, 6227-6233 (2014) · doi:10.1002/adfm.201401534
[5] Guo, Y.; Zhao, H. P.; Feng, X. Q.; Gao, H., On the robustness of spider capture silk’s adhesion, Extreme Mechanics Letters, 29, 100477 (2019) · doi:10.1016/j.eml.2019.100477
[6] Peng, Z.; Chen, S., Effect of bending stiffness on the peeling behavior of an elastic thin film on a rigid substrate, Physical Review E-Statistical, Nonlinear, and Soft Matter Physics, 91, 4, 1-7 (2015)
[7] Peng, Z.; Wang, C.; Yang, Y.; Chen, S., Effect of relative humidity on the peeling behavior of a thin film on a rigid substrate, Physical Review E, 94, 3, 1-10 (2016) · doi:10.1103/PhysRevE.94.032801
[8] Peng, Z.; Yin, H.; Yao, Y.; Chen, S., Effect of thin-film length on the peeling behavior of film-substrate interfaces, Physical Review E, 100, 3, 32804 (2019) · doi:10.1103/PhysRevE.100.032804
[9] Yin, H. B.; Liang, L. H.; Wei, Y. G.; Peng, Z. L.; Chen, S. H., Determination of the interface properties in an elastic film/substrate system, International Journal of Solids and Structures, 191-192, 473-485 (2020) · doi:10.1016/j.ijsolstr.2020.01.003
[10] Hertz, H., On the contact of elastic solids, Journal fur die Reine und Angewandte Mathematik, 92, 156-171 (1881) · JFM 14.0807.01
[11] Johnson, K. L.; Kendall, K.; Roberts, A. D., Surface energy and the contact of elastic solids, Proceedings of the Royal Society of London A: Mathematical and Physical Sciences, 324, 1558, 301-313 (1971)
[12] Derjaguin, B. V.; Muller, V. M.; Toporov, Y. P., Effect of contact deformations on the adhesion of particles, Journal of Colloid and Interface Science, 53, 2, 314-326 (1975) · doi:10.1016/0021-9797(75)90018-1
[13] Maugis, D., Adhesion of spheres: the JKR-DMT transition using a dugdale model, Journal of Colloid and Interface Science, 150, 1, 243-269 (1992) · doi:10.1016/0021-9797(92)90285-T
[14] Guo, X.; Jin, F., A generalized JKR-model for two-dimensional adhesive contact of transversely isotropic piezoelectric half-space, International Journal of Solids and Structures, 46, 20, 3607-3619 (2009) · Zbl 1183.74183 · doi:10.1016/j.ijsolstr.2009.06.012
[15] Zhou, S. S.; Gao, X. L.; He, Q. C., A unified treatment of axisymmetric adhesive contact problems using the harmonic potential function method, Journal of the Mechanics and Physics of Solids, 59, 2, 145-159 (2011) · Zbl 1270.74150 · doi:10.1016/j.jmps.2010.11.006
[16] Wu, F.; Li, X. Y.; Zheng, R. F.; Kang, G. Z., Theory of adhesive contact on multi-ferroic composite materials: spherical indenter, International Journal of Engineering Science, 134, 77-116 (2019) · doi:10.1016/j.ijengsci.2018.10.009
[17] Jin, F.; Tang, Q.; Guo, X.; Gao, H., A generalized Maugis-Dugdale solution for adhesion of power-law graded elastic materials, Journal of the Mechanics and Physics of Solids, 154, 104509 (2021) · doi:10.1016/j.jmps.2021.104509
[18] Zhupanska, O. I., Adhesive full stick contact of a rigid cylinder with an elastic half-space, International Journal of Engineering Science, 55, 54-65 (2012) · doi:10.1016/j.ijengsci.2012.02.002
[19] Goodman, L. E., Contact stress analysis of normally loaded rough spheres, Journal of Applied Mechanics, Transactions ASME, 29, 515-522 (1962) · Zbl 0107.18403 · doi:10.1115/1.3640599
[20] Spence, D. A., Self similar solutions to adhesive contact problems with incremental loading, Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, 305, 1480, 55-80 (1968) · Zbl 0172.49903
[21] Spence, D. A., An eigenvalue problem for elastic contact with finite friction, Mathematical Proceedings of the Cambridge Philosophical Society, 73, 249-268 (1973) · Zbl 0255.73033 · doi:10.1017/S0305004100047666
[22] Spence, D. A., The Hertz contact problem with finite friction, Journal of Elasticity, 5, 3-4, 297-319 (1975) · Zbl 0333.73012 · doi:10.1007/BF00126993
[23] Zhupanska, O. I.; Ulitko, A. F., Contact with friction of a rigid cylinder with an elastic half-space, Journal of the Mechanics and Physics of Solids, 53, 5, 975-999 (2005) · Zbl 1120.74673 · doi:10.1016/j.jmps.2005.01.002
[24] Zhupanska, O. I., Axisymmetric contact with friction of a rigid sphere with an elastic half-space, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465, 2108, 2565-2588 (2009) · Zbl 1186.74088 · doi:10.1098/rspa.2009.0109
[25] Borodich, F. M.; Galanov, B. A., Non-direct estimations of adhesive and elastic properties of materials by depth-sensing indentation, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 464, 2098, 2759-2776 (2008) · Zbl 1152.74373 · doi:10.1098/rspa.2008.0044
[26] Borodich, F. M., Contact problems at nano/microscale and depth sensing indentation techniques, Materials Science Forum, 662, 53-76 (2011) · doi:10.4028/www.scientific.net/MSF.662.53
[27] Borodich, F. M., The Hertz-type and adhesive contact problems for depth-sensing indentation, Advances in Applied Mechanics, 47, 225-366 (2014) · doi:10.1016/B978-0-12-800130-1.00003-5
[28] Borodich, F. M.; Galanov, B. A.; Suarez-Alvarez, M. M., The JKR-type adhesive contact problems for power-law shaped axisymmetric punches, Journal of the Mechanics and Physics of Solids, 68, 14-32 (2014) · Zbl 1328.74066 · doi:10.1016/j.jmps.2014.03.003
[29] Galin, L. A., Contact Problems: the Legacy of L. A. Galin (2008), New York: Springer, New York · Zbl 1152.74031
[30] Barber, J. R., Contact Mechanics (2018), Switzerland: Springer, Switzerland · Zbl 1400.74001 · doi:10.1007/978-3-319-70939-0
[31] Uflyand, Y. S., Survey of Articles on the Applications of Integral Transforms in the Theory of Elasticity (1965), North Carolina: North Carolina State University at Raleigh, North Carolina
[32] Lebedev, N. N.; Skalskaya, I. P.; Uflyand, Y. S., Worked Problems in Applied Mathematics (1965), Canada: General Publishing Company, Canada · Zbl 0134.43804
[33] Erdelyi, A., Tables of Integral Transforms (1954), New York: McGraw-Hill Book Company, New York · Zbl 0055.36401
[34] Chen, S.; Gao, H., Non-slipping adhesive contact of an elastic cylinder on stretched substrates, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462, 2065, 211-228 (2006) · Zbl 1149.74369 · doi:10.1098/rspa.2005.1553
[35] Chen, S.; Gao, H., Non-slipping adhesive contact between mismatched elastic spheres: a model of adhesion mediated deformation sensor, Journal of the Mechanics and Physics of Solids, 54, 8, 1548-1567 (2006) · Zbl 1120.74652 · doi:10.1016/j.jmps.2006.03.001
[36] Chen, S. H.; Gao, H. J., Non-slipping adhesive contact between mismatched elastic cylinders, International Journal of Solids and Structures, 44, 6, 1939-1948 (2007) · Zbl 1109.74037 · doi:10.1016/j.ijsolstr.2006.07.021
[37] Maugis, D., Contact, Adhesion and Rupture of Elastic Solids (2000), New York: Springer Science & Business Media, New York · Zbl 0937.74002 · doi:10.1007/978-3-662-04125-3
[38] Mcmeeking, R. M.; Ciavarella, M.; Cricri, G.; Kim, K. S., The interaction of frictional slip and adhesion for a stiff sphere on a compliant substrate, Journal of Applied Mechanics, Transactions ASME, 87, 3, 1-7 (2020) · doi:10.1115/1.4045794
[39] Peng, B.; Li, Q.; Feng, X. Q.; Gao, H., Effect of shear stress on adhesive contact with a generalized Maugis-Dugdale cohesive zone model, Journal of the Mechanics and Physics of Solids, 148, 104275 (2021) · doi:10.1016/j.jmps.2020.104275
[40] Barquins, M., Adherence and rolling kinematics of a rigid cylinder in contact with a natural rubber surface, The Journal of Adhesion, 26, 1, 1-12 (1988) · doi:10.1080/00218468808071271
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