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Statistical Meso-Mechanics of Damage and Failure: How Microdamage Induces Disaster Series Publication of Multiscale Mechanics / by Bai, Yilong, Xia, Mengfen, Ke, Fujiu

Table of Contents: “…-Framework of statistical meso-mechanics: why and how statistical meso-mechanics is -- Mathematical essentials in statistical meso-mechanics -- Part A Quasi-statically Statistical Evolution of Deformation and Damage in Media with Mesoscopic Heterogeneities:Coupled average (CA) -- Elastic and statistically-brittle (ESB) constitutive model,Global mean field (GMF) approximation -- Continuous bifurcation and localization of deformation,Regional mean field (RMF) approximation -- Size effect -- Experimental issues related to statistical meso-mechanics -- Numerical issues related to heterogeneous meso-elements -- Application to failure wave (one-dimensional strain state) -- Application to metal foams -- Application to concrete under bi-axial compression -- Part B Time-Dependent Processes of Micro-damage Population: Background andmethodology -- Fundamental equation of microdamage evolution -- General solution to evolution of microdamage number density -- Closed formulation of continuum damage based on microdamage evolution -- Deborah number and its significance in the evolution of microdamage -- Spallation - tensile failure resulting from microcracks under stress waves -- Short fatigue cracks -- More cases of time-dependent processes related to microdamage -- Brief summary of Part B -- Part C Critical Catastrophe: Evolution induced catastrophe (EIC) -- Energy transfer and catastrophe considering damage localization -- Sample specificity and Trans-scale Sensitivity -- Critical Sensitivity and power-law singularity of catastrophe -- Great earthquake: the catastrophic rupture in Earth's Crust -- Perspective. .…”
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