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Modeling the entire progressive failure process of rock slopes using a strength-based criterion

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TLDR
In this article, a series of techniques are incorporated into the original NMM (numerical manifold method) to simulate the entire process of the progressive failure of rock slopes, including strength-based LT criterion, which can account for tensile cracks, tensile shear cracks and compressive-shear cracks.
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This article is published in Computers and Geotechnics.The article was published on 2020-10-01. It has received 107 citations till now. The article focuses on the topics: Stress concentration & Fracture mechanics.

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Investigation of rock slope stability using a 3D nonlinear strength-reduction numerical manifold method

TL;DR: In this paper, a 3D-NSRNMM (3D nonlinear strength reduction numerical manifold method) is proposed to investigate the stability of rock slopes using the traditional SRM (strength reduction method) which is based on the linear MC (Mohr-Coulomb) failure criterion.
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A new method of assessing the stability of anti-dip bedding rock slopes subjected to earthquake

TL;DR: In this paper, the authors proposed a new method considering the inertial force of earthquakes to assess the stability of anti-dip bedding rock slopes (ABRSs) by using the limit equilibrium method and genetic algorithm.
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Investigating the softening of weak interlayers during landslides using nanoindentation experiments and simulations

TL;DR: Based on nanoindentation experiments and numerical simulations, an approach is developed to investigate the softening of weak interlayers, which might trigger landslides as discussed by the authors, where the experimental results at the microscale are upscaled using the Gaussian mixture model and Mori-Tanaka scheme.
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Searching for critical slip surfaces of slopes using stress fields by numerical manifold method

TL;DR: In this article, the numerical manifold method (NMMACO) was used to calculate the factors of safety (Fs) of the slopes of a TSS and the MAX-MIN ant colony optimization algorithm (MMACOA) to search for the potential critical slip surface (CSS).
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A phase field numerical manifold method for crack propagation in quasi-brittle materials

TL;DR: In this paper, a phase field numerical manifold method (PFNMM) is proposed for crack growth in brittle materials, and the results indicate that the crack propagation topologies and force-displacement curves obtained by the proposed numerical model are in good agreement with others, e.g. Miehe et al. (2010) and Molnar and Gravouil (2017).
References
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Book

The finite element method

TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
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Cracking particles: A simplified meshfree method for arbitrary evolving cracks

TL;DR: A new approach for modelling discrete cracks in meshfree methods is described, in which the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
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A three dimensional large deformation meshfree method for arbitrary evolving cracks

TL;DR: In this paper, a new approach for modeling discrete cracks in mesh-free particle methods in 3D is described, where cracks can be arbitrarily oriented, but their growth is represented by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
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Numerical analysis of initiation and progressive failure in natural rock slopes—the 1991 Randa rockslide

TL;DR: In this article, the authors investigated the concept of progressive failure and the numerical modelling of rock mass strength degradation in natural rock slopes using the Randa rockslide as a working example.
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