Shou, KJNapier, JAL2007-02-062007-06-072007-02-062007-06-071999-09Shou, KJ and Napier, JAL. 1999. A two-dimensional linear variation displacement discontinuity method for three-layered elastic media. International Journal of Rock Mechanics and Mining Sciences, vol. 36(6), pp 719-7290148-9062http://hdl.handle.net/10204/1498http://hdl.handle.net/10204/1498A new displacement discontinuity method is developed for the analysis of multi-layered elastic media. This approach is based on a novel superposition scheme and the analytical solution to the problem of a displacement discontinuity element within bonded half-planes. A three-layered elastic region is obtained by superposing two sets of bonded half-planes and subtracting one infinite plane. The advantages of this approach are: (1) it is not necessary to introduce elements at the interface, (2) the method is applicable for three dimensional modelling and (3) it can be extended to an N (N > 3) layer system easily. The accuracy of the model is illustrated by comparing the numerical results with the analytical solutions for a hole in an infinite strip in tension and with the numerical solution for a pressurized crack within a three-layered system. In order to show the efficacy of the developed model, the simulation results of a typical South African mining problem and general tunnel excavation problems are also presented.267128 bytesapplication/pdfenCopyright: 1999 Pergamon-Elsevier Science LtdDisplacement discontinuity methodsMulti-layered elastic mediaHydraulic fracturingStress analysisArticleShou, K., & Napier, J. (1999). Two-dimensional linear variation displacement discontinuity method for three-layered elastic media. http://hdl.handle.net/10204/1498Shou, KJ, and JAL Napier "Two-dimensional linear variation displacement discontinuity method for three-layered elastic media." (1999) http://hdl.handle.net/10204/1498Shou K, Napier J. Two-dimensional linear variation displacement discontinuity method for three-layered elastic media. 1999; http://hdl.handle.net/10204/1498.TY - Article AU - Shou, KJ AU - Napier, JAL AB - A new displacement discontinuity method is developed for the analysis of multi-layered elastic media. This approach is based on a novel superposition scheme and the analytical solution to the problem of a displacement discontinuity element within bonded half-planes. A three-layered elastic region is obtained by superposing two sets of bonded half-planes and subtracting one infinite plane. The advantages of this approach are: (1) it is not necessary to introduce elements at the interface, (2) the method is applicable for three dimensional modelling and (3) it can be extended to an N (N > 3) layer system easily. The accuracy of the model is illustrated by comparing the numerical results with the analytical solutions for a hole in an infinite strip in tension and with the numerical solution for a pressurized crack within a three-layered system. In order to show the efficacy of the developed model, the simulation results of a typical South African mining problem and general tunnel excavation problems are also presented. DA - 1999-09 DB - ResearchSpace DP - CSIR KW - Displacement discontinuity methods KW - Multi-layered elastic media KW - Hydraulic fracturing KW - Stress analysis LK - https://researchspace.csir.co.za PY - 1999 SM - 0148-9062 T1 - Two-dimensional linear variation displacement discontinuity method for three-layered elastic media TI - Two-dimensional linear variation displacement discontinuity method for three-layered elastic media UR - http://hdl.handle.net/10204/1498 ER -