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Modeling of progressive failures in quasi-brittle media based on a temporal stress-redistribution mechanism
Liu JX; Liang NG(梁乃刚); Soh AK
AbstractA new attempt is made to simulate progressive failure processes in heterogeneous brittle materials such as concrete, ceramics, rocks etc., by considering the time-dependence of stress redistributions induced by local breakages. Two mechanisms of stress redistribution are incorporated into the proposed model in order to account for the influence of each local breakage on the remaining specimen: (1) one is the immediate release of internal forces in the breaking element, which is assumed to happen within an infinitesimal time when compared with the characteristic time of external loadings. The release of such internal forces is hence suddenly applied to the remaining specimen, which is considered to take time to deform correspondingly due to material viscosity. This deformation delay is implemented by introducing a viscous force (VF) field prevailing in the entire specimen. (2) The other is the gradual release of previously stored VF fields, whose characteristic time is assumed to be material-dependent. Here the release of VF is approximated as stepwise for simplicity. The proposed model is found to be capable of overcoming the unreasonably low-ductility problem encountered in many existing lattice models when it comes to the uniaxial tensile test. Furthermore, the force-displacement response obviously depends on the ratio of the VF releasing time to the characteristic time of external loading, showing trends agreeing with experimental observations. Compared with results without viscosity, the failure pattern is more scattering, and the force-displacement curve has a higher peak load and a more ductile post-peak tail. (C) 2018 Elsevier Inc. All rights reserved.
KeywordProgressive quasi-brittle failure Stress redistribution Damage-induced softening Viscous force field Event-driven algorithm Strain rate sensitivity
Indexed BySCI ; EI
WOS IDWOS:000454970400028
WOS Research AreaEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS SubjectEngineering ; Mathematics ; Mechanics
Funding OrganizationNational Natural Science Foundation of China [11672119] ; Jiangsu Science Fund for Youth [BK20140520] ; Jiangsu University ; Jiangsu Specially-Appointed Professor grants ; 2017 Monash University Malaysia Strategic Large Grant Scheme [LG-2017-04-ENG] ; Advanced Engineering Programme, Monash University Malaysia
ContributorLiu, JX
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Document Type期刊论文
Affiliation1.{Liu, Jin Xing} Jiangsu Univ, Fac Civil Engn & Mech, Xuefu Rd 301, Zhenjiang 212013, Jiangsu, Peoples R China
2.{Liang, Nai Gang} Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
3.{Soh, Ai Kah} Monash Univ Malaysia, Sch Engn, Jalan Lagoon Selatan, Bandar Sunway 47500, Selangor Darul, Malaysia
Recommended Citation
GB/T 7714
Liu JX,Liang NG,Soh AK. Modeling of progressive failures in quasi-brittle media based on a temporal stress-redistribution mechanism[J]. APPLIED MATHEMATICAL MODELLING,2019,65:464-488.
APA Liu JX,梁乃刚,&Soh AK.(2019).Modeling of progressive failures in quasi-brittle media based on a temporal stress-redistribution mechanism.APPLIED MATHEMATICAL MODELLING,65,464-488.
MLA Liu JX,et al."Modeling of progressive failures in quasi-brittle media based on a temporal stress-redistribution mechanism".APPLIED MATHEMATICAL MODELLING 65(2019):464-488.
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