Statistical Meso-Mechanics of Damage and Failure: How Microdamage Induces Disaster : Series Publication of Multiscale Mechanics [E-Book] / by Yilong Bai, Mengfen Xia, Fujiu Ke
This book introduces a trans-scale framework necessary for the physical understanding of breakdown behaviors and presents some new paradigm to clarify the mechanisms underlying the trans-scale processes. The publication of this book based on the interaction of mechanics and statistical physics can h...
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Full text |
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Personal Name(s): | Bai, Yilong, author |
Ke, Fujiu, author / Xia, Mengfen, author | |
Edition: |
1st edition 2019 |
Imprint: |
Singapore :
Springer,
2019
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Physical Description: |
XIV, 497 pages 244 illustrations, 143 illustrations in color (online resource) |
Note: |
englisch |
ISBN: |
9789813291928 |
DOI: |
10.1007/978-981-32-9192-8 |
Subject (LOC): |
- 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 Earth's Crust
- Perspective. .