The numerical manifold method for elastic wave propagation in rock with time-dependent absorbing boundary conditions

Seismic wave propagation through an in-situ stressed rock mass

“…The DDM also has been extended to study wave propagation across a set (or sets) of joints with linear or nonlinear deformational behavior (Zhao et al, 2006b), nonlinear deformational behavior with different loading/unloading paths (Fan and Wong, 2013), Coulomb slip behavior (Zhao et al, 2006b) and viscoelastic behavior (Zhu et al, 2011). Besides theoretical and experimental studies, numerical investigations based on DDM also have been developed, such as UDEC (Zhao et al, 2008), DDA (Ning et al, 2011) and NMM (Wu and Fan, 2014), etc. Although DDM has significant advantages in investigating seismic wave propagation through a jointed rock mass, the effect of in-situ stress is always neglected.…”

Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method

“…Zheng et al proposed a method coupling NMM and the graph theory allowing for stability analysis of both rock and soil slopes within the same framework [13]. Wu and Fan incorporated the firstorder Higdon absorbing boundary into the numerical manifold method (NMM) to reduce reflections from artificial boundaries induced by truncating infinite media [14].…”

A study on mechanical properties and fracturing behavior of Carrara marble with the flat‐jointed model

“…This feature brings the possibility that a number of microcracks can develop simultaneously, which mimics the real response of rock in failure process. Generally, this feature cannot be reproduced by other numerical methods and thus was applied to model the micromechanics of rock tentatively …”