Advances in Statistical Damage Mechanics (SDM): New Modeling Strategies
A handful of methodologies can be pursued in alternative to (and in combination with) continuum mechanics to develop advanced damage models that are intrinsically suited to address complex issues, such as strain localization phenomena and sample- size dep
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Advances in Statistical Damage Mechanics (SDM): New Modeling Strategies Antonio Rinaldi NAST Centre & Department of Chemical Science and Technology University of Rome “Tor Vergata”, Rome, Italy (formerly at MAE Dept., Arizona State University,Tempe, AZ) [email protected] U
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Abstract: A handful of methodologies can be pursued in alternative to (and in combination with) continuum mechanics to develop advanced damage models that are intrinsically suited to address complex issues, such as strain localization phenomena and sample-size dependence of structural failure, which are intimately related to microscale phenomena. This chapter features concepts and solutions from Statistical Damage Mechanics (SDM), which seeks to devise non-conventional approaches to fracture and damage by means of discrete damage models accounting for the essential microscale property of a material or structural system. The ultimate goal is the development of multiscale methodologies that can reliably predict the materials macroscale response in consideration of the microstructural evolution caused by the damage process. The constitutive damage models in this overview are established from physically-based definitions of the damage parameter(s) that stem from a pervasive (bottom-up) statistical rationale aided by a vast arsenal of modeling tools (e.g. descriptive and inductive statistics, fractal theory, computer graphics, numerical methods).
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G.Z. Voyiadjis (ed.), Damage Mechanics and Micromechanics of Localized Fracture Phenomena in Inelastic Solids © CISM, Udine 2011
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