참고문헌
- Andreev, L.V. (1986), In the World of Shells, Mir, Moscow, Russia.
- Aitaliyev, Sh.M., Banichuk, N.V. and Kayupov, M.A. (1986), Optimal Design of Extended Underground Structures, Nauka, Alma-Ata, Kazakhstan.
- Banichuk, N.V. (1977), "Optimality conditions in the problem of seeking the hole shapes in elastic bodies", J. Appl. Math. Mech., 41(5), 946-951. https://doi.org/10.1016/0021-8928(77)90179-4.
- Banichuk, N.V. (1980), Shape Optimization of Elastic Solids, Nauka, Moscow, Russia.
- Barton, N. and Quadros, E. (2014), "Most rock masses are likely to be anisotropic", Proceedings of the ISRM Conference on Rock Mechanics for Natural Resources and Infrastructure-SBMR 2014, Goiania, Brazil, September.
- Burchill, M. and Heller, M. (2004), "Optimal free-form shapes for holes in flat plates under uniaxial and biaxial loading", J. Strain Anal. Eng. Des., 39(6), 595-614. https://doi.org/10.1243/0309324042379266.
- Chang, X., Ma, W., Li, Z. and Wang, H. (2018), "Crack behaviour of top layer in layered rocks", Geomech. Eng., 16(1), 49-58. https://doi.org/10.12989/gae.2018.16.1.049.
- Chen, Y., Zhang, X., Zhu, W. and Wang, W. (2018), "Modified discontinuous deformation analysis for rock failure: Crack propagation", Geomech. Eng., 14(4), 325-336. https://doi.org/10.12989/gae.2018.14.4.325.
- Cherepanov, G.P. (1963), "An inverse elastic-plastic problem under plane strain", Izvestija Akad. nauk SSSR. Otdelenie tehn. nauk. Mehanika i mashinostroenie, (2), 57-60.
- Cherepanov, G.P. (1966), "One inverse problem of elasticity theory", Mech. Solids, (3), 119-130.
- Cherepanov, G.P. (1974), "Inverse problems of the plane theory of elasticity", J. Appl. Math. Mech., 38(6), 915-931. https://doi.org/10.1016/0021-8928(75)90085-4.
- Сherepanov, G.P. (2015), "Optimum shapes of elastic bodies: Equistrong wings of aircrafts and equistrong underground tunnels", Phys. Mesomech., 18(4), 391-401. https://doi.org/10.1134/S1029959915040116.
- Givoli, D. and Elishakoff, I. (1992), "Stress concentration at a nearly circular hole with uncertain irregularities", J. Appl. Mech., 59(2S), S65-S71. https://doi.org/10.1115/1.2899509.
- Gogolauri, L. (2012), "The problem of finding equistrong holes in an elastic square", Proc. A. Razmadze Mathematical Institute, 158, 25-31.
- Hoek, E. and Brown, E.T. (1980), Underground Excavations in Rock, Institution of Mining and Metallurgy, London, England, U.K.
- Kalantarly, N.M. (2017), "Equal strength hole to inhibit longitudinal shear crack growth", J. Mech. Eng., 20(4), 31-37. https://doi.org/10.15407/pmach2017.04.031.
- Kirilyuk, V.S. and Levchuk, O.I. (2008), "On an inverse thermo-elasticity problem for an infinite medium containing a cavity of unknown shape", J. Eng. Math., 61(2-4), 219-229. https://doi.org/10.1007/s10665-007-9189-8.
- Kurshin, L.M. and Onoprienko P.N. (1976), "Determination of the shapes of doubly-connected bar sections of maximum torsional stiffness", J. Appl. Math. Mech., 40(6), 1020-1026. https://doi.org/10.1016/0021-8928(76)90144-1.
- Lee, J. and Hong, J.W. (2018), "Crack initiation and fragmentation processes in pre-cracked rock-like materials", Geomech. Eng., 15(5), 1047-1059. https://doi.org/10.12989/gae.2018.15.5.1047.
- Lv, H., Tang, Y., Zhang, L., Cheng, Z. and Zhang, Y. (2019), "Analysis for mechanical characteristics and failure models of coal specimens with non-penetrating single crack", Geomech. Eng., 17(4), 355-365. https://doi.org/10.12989/gae.2019.17.4.355.
- Mirsalimov, V.M. (1974), "On the optimum shape of apertures for a perforated plate subject to bending", J. Appl. Mech. Tech. Phys., 15(6), 842-845. https://doi.org/10.1007/BF00864606.
- Mirsalimov, V.M. (1975), "Converse problem of elasticity theory for an anisotropic medium", J. Appl. Mech. Tech. Phys., 16(4), 645-648. https://doi.org/10.1007/BF00858311.
- Mirsalimov, V.M. (1977), "Inverse doubly periodic problem of thermoelasticity", Mech. Solids, 12(4), 147-154.
- Mirsalimov, V.M. (1979), "A working of uniform strength in the solid rock", Soviet Mining, 15(4), 327-330. https://doi.org/10.1007/BF02499529.
- Mirsalimov, V.M. (1987), Non-one-dimensional Elastoplastic Problems, Nauka, Moscow, Russia.
- Mirsalimov, V.M. (2019), "Inverse problem of elasticity for a plate weakened by hole and cracks", Math. Prob. Eng. https://doi.org/10.1155/2019/4931489.
- Mirsalimov, V.M. (2020), "Minimizing the stressed state of a plate with a hole and cracks", Eng. Optimiz., 52(2), 288-302. https://doi.org/10.1080/0305215X.2019.1584619.
- Mir-Salim-zade, M.V. (2007), "Determination of equistrong hole shape in isotropic medium, reinforced by regular system of stringers", Materialy, tehnologii, instrumenty, 12(4), 10-14.
- Mir-Salim-zade, M.V. (2019), "Minimization of the stressed state of a stringer plate with a hole and rectilinear cracks", J. Mech. Eng., 22(2), 59-69. https://doi.org/10.15407/pmach2019.02.059.
- Muskhelishvili, N.I. (1977), Some Basic Problems of Mathematical Theory of Elasticity, Springer, Dordrecht, The Netherlands.
- Odishelidze, N., Criado-Aldeanueva, Criado, F.F. and Sanchez, J.M. (2016), "Stress concentration in an elastic square plate with a full-strength hole", Math. Mech. Solids, 21(5), 552-561. https://doi.org/10.1177/1081286514530753.
- Panasyuk, V.V., Savruk, M.P. and Datsyshyn, A.P. (1976), Stress Distribution around Cracks in Plates and Shells, Naukova Dumka, Kiev, Ukraine.
- Savruk, M.P. (1988), Stress Intensity Factors in Solids with Cracks, Naukova Dumka, Kiev, Ukraine.
- Savruk, M.P. and Kazberuk A. (2017), Stress Concentration at Notches. Springer, Cham, Switzerland.
- Savruk, M.P. and Kravets, V.S. (2002), "Application of the method of singular integral equations to the determination of the contours of equistrong holes in plates", Mater. Sci., 38(1), 34-46. https://doi.org/10.1023/A:1020116613794.
- Sheinin, V.I. (1972), "On the asymptotic method for calculating stress near rough surface of elastic solids", Mech. Solids, 7(2), 94-102.
- Sun, W., Du, H., Zhou, F. and Shao, J. (2019), "Experimental study of crack propagation of rock-like specimens containing conjugate fractures", Geomech. Eng., 17(4), 323-331. https://doi.org/10.12989/gae.2019.17.4.323.
- Vigdergauz, S.B. (1976), "Integral equation of the inverse problem of the plane theory of elasticity", J. Appl. Math. Mech., 40(3), 518-522. https://doi.org/10.1016/0021-8928(76)90046-0.
- Vigdergauz, S.B. (1977), "On a case of the inverse problem of two-dimensional theory of elasticity", J. Appl. Math. Mech., 41(5), 902-908. https://doi.org/10.1016/0021-8928(77)90176-9.
- Vigdergauz, S. (2006), "The stress-minimizing hole in an elastic plate under remote shear", J. Mech. Mater. Struct., 1(2), 387-406. https://doi.org/2140/jomms.2006.1.387. https://doi.org/10.2140/jomms.2006.1.387
- Vigdergauz, S. (2016), "A planar grained structure with a multiphase nested inclusion in a periodic cell: Elastostatic solution and the equi-stressness", Math. Mech. Solids, 21(6), 709-724. https://doi.org/10.1177/1081286514536084.
- Vigdergauz, S. (2017), "Equi-stress boundaries in two- and three-dimensional elastostatics: The single-layer potential approach", Math. Mech. Solids, 22(4), 837-851. https://doi.org/10.1177/1081286515615001.
- Vigdergauz, S. (2018), "Simply and doubly periodic arrangements of the equi-stress holes in a perforated elastic plane: The single-layer potential approach", Math. Mech. Solids, 23(5), 805-819. https://doi.org/10.1177/1081286517691807.
- Wang, S.J., Lu, A.Z., Zhang X.L. and Zhang N. (2018), "Shape optimization of the hole in an orthotropic plate", Mech. Based Des. Struct. Machines, 46(1), 23-37. https://doi.org/10.1080/15397734.2016.1261036.
- Wheeler, L.T. (1976), "On the role of constant-stress surfaces in the problem of minimizing elastic stress concentration", Int. J. Solids Struct., 12(11), 779-789. https://doi.org/10.1016/0020-7683(76)90042-1.
- Wheeler, L.T. (1992), "Stress minimum forms for elastic solids", Appl. Mech. Rev., 45(1), 1-12. https://doi.org/10.1115/1.3119743.
- Wu, Z. (2009), "Optimal hole shape for minimum stress concentration using parameterized geometry models", Struct. Multidisciplin. O., 37(6), 625-634. https://doi.org/10.1007/s00158-008-0253-4.
- Zeng, X., Lu, A. and Wang, S. (2020), "Shape optimization of two equal holes in an infinite elastic plate", Mech. Based Des. Struct. Machines, 48(2), 133-145. https://doi.org/10.1080/15397734.2019.1620111.
- Zhou, L., Zhu, Z., Liu, B. and Fan, Y. (2018), "The effect of radial cracks on tunnel stability", Geomech. Eng., 15(2), 721-728. https://doi.org/10.12989/gae.2018.15.2.721.
- Zhu, J.Q. and Yang, X.L. (2018), "Probabilistic stability analysis of rock slopes with cracks", Geomech. Eng., 16(6), 655-667. https://doi.org/10.12989/gae.2018.16.6.655.