A rock damage model considering shear failure by modified logistic growth theory  

作　　者：Kai Chen Roberto Cudmani Andres Peña 

机构地区：[1]Department of Civil and Environmental Engineering,School of Engineering and Design,Technical University of Munich,Munich,80333,Germany

出　　处：《Journal of Rock Mechanics and Geotechnical Engineering》2025年第3期1321-1355,共35页岩石力学与岩土工程学报(英文)

基　　金：supported by the China Scholarship Council Program(Grant No.202008320274);it is also supported by Technical University of Munich.

摘　　要：Localized rock failures,like cracks or shear bands,demand specific attention in modeling for solids and structures.This is due to the uncertainty of conventional continuum-based mechanical models when localized inelastic deformation has emerged.In such scenarios,as macroscopic inelastic reactions are primarily influenced by deformation and microstructural alterations within the localized area,internal variables that signify these microstructural changes should be established within this zone.Thus,localized deformation characteristics of rocks are studied here by the preset angle shear experiment.A method based on shear displacement and shear stress differences is proposed to identify the compaction,yielding,and residual points for enhancing the model's effectiveness and minimizing subjective influences.Next,a mechanical model for the localized shear band is depicted as an elasto-plastic model outlining the stress-displacement relation across both sides of the shear band.Incorporating damage theory and an elasto-plastic model,a proposed damage model is introduced to replicate shear stressdisplacement responses and localized damage evolution in intact rocks experiencing shear failure.Subsequently,a novel nonlinear mathematical model based on modified logistic growth theory is proposed for depicting the shear band's damage evolution pattern.Thereafter,an innovative damage model is proposed to effectively encompass diverse rock material behaviors,including elasticity,plasticity,and softening behaviors.Ultimately,the effects of the preset angles,temperature,normal stresses and the residual shear strength are carefully discussed.This discovery enhances rock research in the proposed damage model,particularly regarding shear failure mode.

关 键 词：Damage model Shear failure LOCALIZATION Shear band Modified growth theory Damage evolution 

分 类 号：TG1[金属学及工艺—金属学]