A study on rock mass crack propagation and coalescence simulation based on improved numerical manifold method (NMM)
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ORIGINAL ARTICLE
A study on rock mass crack propagation and coalescence simulation based on improved numerical manifold method (NMM) Zishan Zhang . Shuhong Wang . Cungen Wang . Pengyu Wang
Received: 8 May 2020 / Accepted: 22 October 2020 Springer Nature Switzerland AG 2020
Abstract As an emerging numerical calculation method, the numerical manifold method (NMM) has incomparable advantage in solving continuous and discontinuous deformation problems in a unified framework. In this study, an improved numerical manifold method was deployed to solve the crack propagation and coalescence problem with cracking friction effect in fractured rock mass. Firstly, based on the basic theory of NMM, the structural surface roughness JRC coefficient was introduced into the friction matrix, and the numerical manifold matrix derivation of the friction matrix is embedded into the original software package, which enhanced the NMM calculation program module. A new method of numerical manifold displacement method for solving crack propagation problem is proposed. The calculation formula of stress intensity factor in crack propagation process are given, and the program module used to simulate crack propagation process was developed. Furthermore, two case study was introduced to verify the reliability and applicability of the calculation package. Through comparison of the experiment result with the numerical solution of a Z. Zhang S. Wang (&) C. Wang P. Wang School of Resource & Civil Engineering, Northeastern University, Shenyang 110819, China e-mail: [email protected]
rectangle flawed red sandstone specimen with prefabricated hole and fissure, it could be certified that the improved method can acquired the accuracy to an extent, and also enhanced the effectiveness of the proposed method for fracture propagation and coalescence behavior under complex geometry. Keywords Numerical manifold method Crack propagation Uniaxial compressive test Progressive fracture Friction matrix Red sandstone with prefabricated hole and fissure
1 Article Highlights • An improved numerical manifold method was used to solve the crack propagation problem considering cracking friction effect in pre-cracked rock mass. • The numerical manifold matrix derivation of the friction matrix is embedded into the original software package. • A new method of numerical manifold displacement method for solving crack propagation problem is proposed.
Z. Zhang School Civil & Environmental Engineering, University New South Wales, Sydney, NSW 2052, Australia
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Geomech. Geophys. Geo-energ. Geo-resour. (2021)7:5
2 Introduction At present, the failure analysis of rock mass is a tough task for geotechnical engineering because it is difficult to characterize the failure process of rock mass accurately. So there is an urgent need to seek an effective numerical method to solve the continuousdiscontinuous deformation problem in the process of rock mass failure. Numerical manifold method (NMM) (Ma et al. 2010) is one of the most popular nu
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