Finite element mesh improvement using an a priori local p-refinement for stress analysis of underground excavations

References

• Brady, B. H. G., & Brown, E. T. (2006). Rock mechanics for underground mining. SpringerNature.
   Google Scholar
• Brown, E. T. (1987). Analytical and computational methods in engineering rock mechanics. Allen and Unwin.
   Google Scholar
• Garcia Rosero, D. F. (2011) Finite element mesh optimization using the partial p-adaptive method for stress analysis of underground excavations, M.A.Sc. Thesis, Department BCEE, Concordia University
   Google Scholar
• Gupta, A. K. (1978). A finite element for transition from a fine to a coarse grid. International Journal for Numerical Methods in Engineering, 12(1), 35–24. https://doi.org10.1002/nme.1620120104
   Web of Science ®Google Scholar
• Hazegh, M., & Zsaki, A. M. (2013). A framework for automatic modeling of underground excavations and optimizing 3D boundary and finite element meshes derived from them - framework. International Journal for Numerical and Analytical Methods in Geomechanics, 37(6), 641–660. https://doi.org10.1002/nag.1130
   Web of Science ®Google Scholar
• Hoek, E. (2007). Practical rock engineering. Rocscience Inc.
   Google Scholar
• Huang, F., & Xie, X. (2010). A modified nonconforming 5-node quadrilateral transition finite element. Advances in Applied Mathematics and Mechanics, 2(6), 784–797. https://doi.org10.4208/aamm.09-m09110
   Web of Science ®Google Scholar
• Ikhenazen, G., Saidani, M., & Kilardj, M. (2019). Optimization of a finite element mesh for plates subjected to in-plane patch loading. Journal of Mechanical Science and Technology, 33(3), 1185–1193. https://doi.org10.1007/s12206-019-0218-0
   Web of Science ®Google Scholar
• Jackson, R., Gorski, B., & Gyenge, M. (1995). Geotechnical properties of rock: A data base of physical properties of Canadian rock including both intact and residual strength. Canada Communication Group Publishing.
   Google Scholar
• Kardani, M., Nazem, M., Sheng, D., & Carter, J. P. (2013). Large deformation analysis of geomechanics problems by a combined RH-adaptive finite element method. Computers and Geotechnics, 49(49),90–99. https://doi.org10.1016/j.compgeo.2012.09.013
   Web of Science ®Google Scholar
• Martin, C. D., & Kozak, E. T. (1992) Flow measurements in the excavation disturbed zone of Room 209. Rock characterization: ISRM Symposium, Eurock ’92, Chester, UK., 402–407.
   Google Scholar
• Ramamurthy, T. (2007). Engineering in rocks for slopes, foundations and tunnels. 2nd Printing. PHI.
   Google Scholar
• rocscience inc. (2014, May 9) Phase2 – Finite element analysis for excavations and slopes. http://www.rocscience.com/products/3/Phase2
   Google Scholar
• Sapre, M. S., Kulkarni, A. J., & Shinde, S. S. (2019) Finite element mesh smoothing using cohort intelligence. In: A. Kulkarni, S. Satapathy, T. Kang, & A. Kashan (eds) Proceedings of the 2nd International Conference on Data Engineering and Communication Technology. Advances in Intelligent Systems and Computing, vol 828. Springer, Singapore.
   Google Scholar
• Yu, C. Y., Liu, F., & Xu, Y. (2018). An h-adaptive numerical manifold method for solid mechanics problems. Science China Technological Sciences, 61(6), 923–933. https://doi.org10.1007/s11431-017-9143-9
   Web of Science ®Google Scholar
• Zienkiewicz, O. C., Taylor, R. L., & Zhu, J. Z. (2005). The finite element method, its basis and fundamentals (6th ed.). Elsevier.
   Google Scholar
• Zienkiewicz, O. C., & Zhu, J. Z. (1987). A simple error estimator and adaptive procedure for practical engineering analysis. International Journal for Numerical Methods in Engineering, 24(1), 337–357. https://doi.org10.1002/nme.1620240206
   Google Scholar
• Zsaki, A. M., (2003) Innovative techniques in large-scale stress analysis of underground excavations. Ph.D. Thesis, Department of Civil Engineering, University of Toronto.
   Google Scholar
• Zsaki, A. M. (2010). Optimized mesh generation for finite element analysis of underground excavations in rocks masses traversed by joints. International Journal of Rock Mechanics and Mining Sciences, 47(4), 533–702.
   Web of Science ®Google Scholar
• Zsaki, A. M. (2018). sim|FEM: A finite element analysis research code for excavation analysis and design. Concordia University.
   Google Scholar
• Zsaki, A. M., & Curran, J. H. (2005a). A continuum mechanics based framework for boundary and finite element mesh optimization in two dimensions for application in excavation analysis. International Journal for Numerical and Analytical Methods in Geomechanics, 29(4), 369–393. https://doi.org10.1002/nag.418
   Web of Science ®Google Scholar
• Zsaki, A. M., & Curran, J. H. (2005b). A continuum mechanics based framework for optimizing boundary and finite element meshes associated with underground excavations – Framework. International Journal for Numerical and Analytical Methods in Geomechanics, 29(13), 1271–1298. https://doi.org10.1002/nag.459
   Web of Science ®Google Scholar
• Zsaki, A. M., & Curran, J. H. (2005c). A continuum mechanics based framework for optimizing boundary and finite element meshes associated with underground excavations - Accuracy, efficiency and applications. International Journal for Numerical and Analytical Methods in Geomechanics, 29(13), 1299–1315. https://doi.org10.1002/nag.460
   Web of Science ®Google Scholar