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What Happens Beyond Drucker's Proposition in Heterogeneous Media
Bai YL(白以龙); Ma GW(马国文); Hao SW(郝圣旺); Xia MF(夏蒙芬); Ke FJ(柯孚久); Bai, YL (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China.
Conference Name11th Asia-Pacific Conference on Engineering Plasticity and its Applications (AEPA 2012)
Conference DateDEC 05-07, 2012
Conference PlaceSingapore, SINGAPORE
AbstractThis paper briefly reviews our recent analytical and experimental results on 3 interrelated features beyond the peak load in heterogeneous media: continuous bifurcation, damage localization and catastrophic rupture (CR). Firstly, an Elastic Statistically-Brittle model (ESB) was introduced to formulate the basic features of a kind of heterogeneous media, like rocks and cements. The global mean field approximation (GMF) shows that the measure of heterogeneity, like the Weibull modulus m in the distribution of meso-strength plays a key role to distinguish CR from gradual failure. Then, with the ESB model and corresponding experimental results, continuous bifurcation and damage localization are discussed. In accord with these, regional mean field approximation (RMF) is adopted and it shows that any scale of damage localization can satisfy the conservation laws in continuum mechanics. This implies that catastrophic rupture could appear at any state beyond the peak load, depending on the unknown evolution of damage localization zone. Hence, catastrophic rupture seems to occur stochastically at macroscopic level. On the other hand, both experimental and analytic studies demonstrate that a robust power law singularity (-1/2) appears ahead of CR. Preliminary applications of these ideas are briefly described.
WOS IDWOS:000316308800001
Indexed ByCPCI-S
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Document Type会议论文
Corresponding AuthorBai, YL (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Bai YL,Ma GW,Hao SW,et al. What Happens Beyond Drucker's Proposition in Heterogeneous Media[C]ADVANCES IN ENGINEERING PLASTICITY XI,2013.
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