Malkov, Venyamin; Malkova, Yulia Large deformations of a plane with elliptical hole for model of semi-linear material. (English) Zbl 07625060 Smirnov, Nikolay (ed.) et al., Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5–10, 2020. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 855-862 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{V. Malkov} and \textit{Y. Malkova}, in: Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5--10, 2020. Cham: Springer. 855--862 (2022; Zbl 07625060) Full Text: DOI OpenURL
Hua, Jian; Dai, Ming Anti-plane shear of a tunnel in an elastic half-space under surface loading: analytic algorithm and approximate explicit solution. (English) Zbl 1482.74116 Z. Angew. Math. Phys. 73, No. 1, Paper No. 42, 14 p. (2022). MSC: 74L10 74B05 74G70 74S70 PDF BibTeX XML Cite \textit{J. Hua} and \textit{M. Dai}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 42, 14 p. (2022; Zbl 1482.74116) Full Text: DOI OpenURL
Lin, Luo-bin; Chen, Fu-quan; Lu, Yan-ping; Li, Da-yong Complex variable solutions for shallow twin tunnelling in visco-elastic geomaterial considering buoyancy effect and equivalent three-dimensional effects of tunnel faces. (English) Zbl 1481.74720 Appl. Math. Modelling 91, 149-185 (2021). MSC: 74S70 PDF BibTeX XML Cite \textit{L.-b. Lin} et al., Appl. Math. Modelling 91, 149--185 (2021; Zbl 1481.74720) Full Text: DOI OpenURL
Cai, Hui; Lu, Ai-zhong; Ma, Yao-cai; Yin, Chong-lin Semi-analytical solution for stress and displacement of lined circular tunnel at shallow depths. (English) Zbl 1481.74013 Appl. Math. Modelling 100, 263-281 (2021). MSC: 74A10 74S70 PDF BibTeX XML Cite \textit{H. Cai} et al., Appl. Math. Modelling 100, 263--281 (2021; Zbl 1481.74013) Full Text: DOI OpenURL
Lin, Luo-bin; Lu, Yan-ping; Chen, Fu-quan; Li, Da-yong Analytic study of stress and displacement for shallow twin tunnels subjected to surcharge loads. (English) Zbl 1481.74021 Appl. Math. Modelling 93, 485-508 (2021). MSC: 74A10 PDF BibTeX XML Cite \textit{L.-b. Lin} et al., Appl. Math. Modelling 93, 485--508 (2021; Zbl 1481.74021) Full Text: DOI OpenURL
Gao, X.; Wang, H. N.; Jiang, M. J. Analytical solutions for the displacement and stress of lined circular tunnel subjected to surcharge loadings in semi-infinite ground. (English) Zbl 1481.74228 Appl. Math. Modelling 89, Part 1, 771-791 (2021). MSC: 74H10 PDF BibTeX XML Cite \textit{X. Gao} et al., Appl. Math. Modelling 89, Part 1, 771--791 (2021; Zbl 1481.74228) Full Text: DOI OpenURL
Dai, Ming; Hua, Jian Discussion on the conformal mapping of a half-plane onto a unit disk in anisotropic elasticity and related applications. (English) Zbl 1486.74021 Math. Mech. Solids 26, No. 1, 110-117 (2021). MSC: 74E10 74S70 PDF BibTeX XML Cite \textit{M. Dai} and \textit{J. Hua}, Math. Mech. Solids 26, No. 1, 110--117 (2021; Zbl 1486.74021) Full Text: DOI OpenURL
Lin, Luo-bin; Chen, Fu-quan; Li, Da-yong Modified complex variable method for displacement induced by surcharge loads and shallow tunnel excavation. (English) Zbl 1452.74080 J. Eng. Math. 123, 1-18 (2020). MSC: 74L10 74S70 74G70 PDF BibTeX XML Cite \textit{L.-b. Lin} et al., J. Eng. Math. 123, 1--18 (2020; Zbl 1452.74080) Full Text: DOI OpenURL
Dalong, Jin; Xiang, Shen; Dajun, Yuan Theoretical analysis of three-dimensional ground displacements induced by shield tunneling. (English) Zbl 1481.74539 Appl. Math. Modelling 79, 85-105 (2020). MSC: 74L10 PDF BibTeX XML Cite \textit{J. Dalong} et al., Appl. Math. Modelling 79, 85--105 (2020; Zbl 1481.74539) Full Text: DOI OpenURL
Cai, Hui; Lu, Ai-Zhong; Ma, Yao-Cai Analytic stress solution for a circular tunnel in half plane with a concentrated force. (English) Zbl 07273397 Math. Mech. Solids 24, No. 12, 3862-3879 (2019). MSC: 74-XX PDF BibTeX XML Cite \textit{H. Cai} et al., Math. Mech. Solids 24, No. 12, 3862--3879 (2019; Zbl 07273397) Full Text: DOI OpenURL
Zou, Jin-feng; Wang, Feng; Wei, An A semi-analytical solution for shallow tunnels with radius-iterative-approach in semi-infinite space. (English) Zbl 1481.74090 Appl. Math. Modelling 73, 285-302 (2019). MSC: 74C05 74L10 PDF BibTeX XML Cite \textit{J.-f. Zou} et al., Appl. Math. Modelling 73, 285--302 (2019; Zbl 1481.74090) Full Text: DOI OpenURL
Lin, Luobin; Chen, Fuquan; Huang, Zeng An analytical solution for sectional estimation of stress and displacement fields around a shallow tunnel. (English) Zbl 1461.74053 Appl. Math. Modelling 69, 181-200 (2019). MSC: 74L10 74S70 PDF BibTeX XML Cite \textit{L. Lin} et al., Appl. Math. Modelling 69, 181--200 (2019; Zbl 1461.74053) Full Text: DOI OpenURL
Kong, Fanchao; Lu, Dechun; Du, Xiuli; Shen, Chenpeng Elastic analytical solution of shallow tunnel owing to twin tunnelling based on a unified displacement function. (English) Zbl 1481.74718 Appl. Math. Modelling 68, 422-442 (2019). MSC: 74S70 PDF BibTeX XML Cite \textit{F. Kong} et al., Appl. Math. Modelling 68, 422--442 (2019; Zbl 1481.74718) Full Text: DOI OpenURL
Liu, Qijian; Zhao, Mingjuan; Liu, Zhongxian Wave function expansion method for the scattering of SH waves by two symmetrical circular cavities in two bonded exponentially graded half spaces. (English) Zbl 1464.74086 Eng. Anal. Bound. Elem. 106, 389-396 (2019). MSC: 74J20 74S99 35Q74 PDF BibTeX XML Cite \textit{Q. Liu} et al., Eng. Anal. Bound. Elem. 106, 389--396 (2019; Zbl 1464.74086) Full Text: DOI OpenURL
Zou, Jin-Feng; Wei, An; Yang, Tao Elasto-plastic solution for shallow tunnel in semi-infinite space. (English) Zbl 1480.74036 Appl. Math. Modelling 64, 669-687 (2018); corrigendum ibid. 82, 942-946 (2020). MSC: 74C05 86A60 PDF BibTeX XML Cite \textit{J.-F. Zou} et al., Appl. Math. Modelling 64, 669--687 (2018; Zbl 1480.74036) Full Text: DOI OpenURL
Wang, H. N.; Zeng, G. S.; Jiang, M. J. Analytical stress and displacement around non-circular tunnels in semi-infinite ground. (English) Zbl 1480.74006 Appl. Math. Modelling 63, 303-328 (2018). MSC: 74A10 PDF BibTeX XML Cite \textit{H. N. Wang} et al., Appl. Math. Modelling 63, 303--328 (2018; Zbl 1480.74006) Full Text: DOI OpenURL
Boccardo, Valeria; Godoy, Eduardo; Durán, Mario An efficient semi-analytical method to compute displacements and stresses in an elastic half-space with a hemispherical pit. (English) Zbl 1488.35528 Adv. Appl. Math. Mech. 7, No. 3, 295-322 (2015). MSC: 35Q74 35C10 74G15 PDF BibTeX XML Cite \textit{V. Boccardo} et al., Adv. Appl. Math. Mech. 7, No. 3, 295--322 (2015; Zbl 1488.35528) Full Text: DOI Link OpenURL
Liu, Qijian; Zhao, Mingjuan; Zhang, Chao Antiplane scattering of SH waves by a circular cavity in an exponentially graded half space. (English) Zbl 1423.74436 Int. J. Eng. Sci. 78, 61-72 (2014). MSC: 74J15 74J20 PDF BibTeX XML Cite \textit{Q. Liu} et al., Int. J. Eng. Sci. 78, 61--72 (2014; Zbl 1423.74436) Full Text: DOI OpenURL
Chen, Y. Z.; Wang, Z. X. Multiple and periodic notch problems of elastic half-plane by using BIE based on Green’s function method. (English) Zbl 1270.74023 Int. J. Comput. Methods 7, No. 4, 539-557 (2010). MSC: 74B05 74S70 65N80 PDF BibTeX XML Cite \textit{Y. Z. Chen} and \textit{Z. X. Wang}, Int. J. Comput. Methods 7, No. 4, 539--557 (2010; Zbl 1270.74023) Full Text: DOI OpenURL
Wang, Mingbin; Li, Shucai A complex variable solution for stress and displacement field around a lined circular tunnel at great depth. (English) Zbl 1273.74314 Int. J. Numer. Anal. Methods Geomech. 33, No. 7, 939-951 (2009). MSC: 74L10 74S70 PDF BibTeX XML Cite \textit{M. Wang} and \textit{S. Li}, Int. J. Numer. Anal. Methods Geomech. 33, No. 7, 939--951 (2009; Zbl 1273.74314) Full Text: DOI OpenURL
Chen, Jeng-Tzong; Shen, Wen-Cheng Null-field approach for Laplace problems with circular boundaries using degenerate kernels. (English) Zbl 1156.65097 Numer. Methods Partial Differ. Equations 25, No. 1, 63-86 (2009). MSC: 65N38 35J05 65N12 PDF BibTeX XML Cite \textit{J.-T. Chen} and \textit{W.-C. Shen}, Numer. Methods Partial Differ. Equations 25, No. 1, 63--86 (2009; Zbl 1156.65097) Full Text: DOI OpenURL
Dejoie, Alexandre; Mogilevskaya, Sofia G.; Crouch, Steven L. A boundary integral method for multiple circular holes in an elastic half-plane. (English) Zbl 1195.74223 Eng. Anal. Bound. Elem. 30, No. 6, 450-464 (2006). MSC: 74S15 74B05 74G10 PDF BibTeX XML Cite \textit{A. Dejoie} et al., Eng. Anal. Bound. Elem. 30, No. 6, 450--464 (2006; Zbl 1195.74223) Full Text: DOI OpenURL
Buryachenko, V. A.; Pagano, N. J. The multiscale analysis of multiple interacting inclusions problem: finite number of interacting inclusions. (English) Zbl 1110.74019 Math. Mech. Solids 10, No. 1, 25-62 (2005). MSC: 74E05 74Q15 PDF BibTeX XML Cite \textit{V. A. Buryachenko} and \textit{N. J. Pagano}, Math. Mech. Solids 10, No. 1, 25--62 (2005; Zbl 1110.74019) Full Text: DOI OpenURL
Strack, O. E.; Verruijt, A. A complex variable solution for a deforming buoyant tunnel in a heavy elastic half-plane. (English) Zbl 1032.74038 Int. J. Numer. Anal. Methods Geomech. 26, No. 12, 1235-1252 (2002). MSC: 74L10 74S30 30C20 74G05 PDF BibTeX XML Cite \textit{O. E. Strack} and \textit{A. Verruijt}, Int. J. Numer. Anal. Methods Geomech. 26, No. 12, 1235--1252 (2002; Zbl 1032.74038) Full Text: DOI OpenURL
Bardet, J. P. The damping of saturated poroelastic soils during steady-state vibrations. (English) Zbl 0818.73055 Appl. Math. Comput. 67, No. 1-3, 3-31 (1995). MSC: 74L10 74E05 76S05 PDF BibTeX XML Cite \textit{J. P. Bardet}, Appl. Math. Comput. 67, No. 1--3, 3--31 (1995; Zbl 0818.73055) Full Text: DOI OpenURL