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Introduction:Damage and failure of heterogeneous media: basic features and common characteristics.-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 and methodology
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 Earths Crust
Perspective.

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