Snap-back softening instability in high-strength concrete beams

Biolzi, Luigi; Cangiano, S.; Tognon, G.; Carpinteri, Alberto

doi:10.1007/bf02472220

Cited by 24 publications

(6 citation statements)

References 8 publications

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“…Thus, CMOD has been proposed and used as control parameter for stable fracture testing of high-strength concrete 14 and tetragonal zirconia stabilised with 3 mol% of Y 2 O 3 18-20 specimens under conditions that would have led to unstable fracture for displacement controlled tests.…”

Section: Introductionmentioning

confidence: 99%

Crack mouth opening displacement controlled fracture tests of brittle ceramics

García‐Prieto

Baudı́n

2010

Journal of the European Ceramic Society

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Section: Introductionmentioning

confidence: 99%

Crack mouth opening displacement controlled fracture tests of brittle ceramics

García‐Prieto

Baudı́n

2010

Journal of the European Ceramic Society

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“…Contrary to displacement and load, parameters related to crack growth increase during the whole fracture test, thus, they are suitable to reach stable fracture. In particular, the crack mouth opening displacement (CMOD) has been proposed and used as control parameter for stable fracture testing of high-strength concrete 19 and tetragonal zirconia stabilised with 3 mol% of Y 2 O 3 20-22 specimens under conditions that would have led to unstable fracture for displacement controlled tests; both materials present R-curve behaviour. In our laboratory a special set up for the routine stable fracture testing of brittle ceramics using CMOD as control parameter has been developed; stable fracture of materials such as fine grained magnesium-aluminium spinel and alumina has been attained.…”

Section: Stability Analysis For Fracture Of Senb In Three Points Bendingmentioning

confidence: 99%

Influence of experimental variables on fracture toughness determined on SEVNB in three points bending. Mullite a case study

García‐Prieto

Baudı́n

2012

Journal of the European Ceramic Society

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“…Generally speaking, the specimen behaviour is brittle (snap-back) for low SE numbers, i.e., for low fracture toughness, GF, high tensile strengths, u, and/or large sizes, h. In particular, in the case of uncracked beam, for SE 10.45x10 -5 , the P-δ curve presents positive slope in the C T softening branch and a catastrophical event occurs if the loading process is deflection-controlled. Such indenting branch is not virtual only if the loading process is controlled by a monotonically increasing function of time (Biolzi et al [21]). In the case of the cracked beam, on the contrary, the initial crack makes the specimen behaviour more ductile; for the set of S E numbers considered in Fig.…”

Section: The Nonlinear Cohesive Crack Model: Snap-back Instability Asmentioning

confidence: 99%

Complexity: a new paradigm for fracture mechanics

Carpinteri¹,

Puzzi²

2009

Frattura Ed Integrità Strutturale

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RIASSUNTO.Le cosiddette Scienze della Complessità sono un argomento di interesse in forte crescita all'interno della Comunità Scientifica. In realtà, i ricercatori non sono ancora giunti ad un'unica definizione di Complessità, per il fatto che essa si manifesta attraverso svariate forme [1]. Questo campo d'indagine, infatti, non è rappresentato da una singola disciplina, ma piuttosto da un insieme eterogeneo costituito da differenti tecniche matematiche e da diversi ambiti della scienza. Sotto l'allocuzione di Scienze della Complessità comprendiamo una grande varietà di approcci: la dinamica non lineare, la teoria del caos deterministico, la termodinamica del non-equilibrio, la geometria frattale, l'asintoticità intermedia, l'autosomiglianza completa ed incompleta, la teoria del gruppo di rinormalizzazione, la teoria delle catastrofi, la criticalità auto-organizzata, le reti neurali, gli automi cellulari, la logica sfumata (fuzzy logic), etc. Scopo del presente lavoro è quello di approfondire il ruolo della Complessità nel campo della Scienza dei Materiali e della Meccanica della Frattura [2-3]. Gli esempi presentati riguarderanno il fenomeno instabile dello snap-back nel comportamento di strutture composite (Carpinteri [4-6]), l'insorgere di pattern frattali e dell'autosomiglianza nella deformazione e nel danneggiamento dei materiali eterogenei, oltre agli effetti di scala sulle proprietà meccaniche nominali dei materiali disordinati (Carpinteri [7,8]). Ulteriori esempi si occuperanno dell'interpretazione dei fenomeni critici e degli effetti di scala temporale sulla vita ultima delle strutture per mezzo della Emissione Acustica (Carpinteri et al. [9]). Infine, verranno presentati risultati sulla transizione verso il caos nel comportamento dinamico di travi fessurate (Carpinteri and Pugno [10,11]).ABSTRACT. The so-called Complexity Sciences are a topic of fast growing interest inside the scientific community. Actually, researchers did not come to a definition of complexity, since it manifests itself in so many different ways [1]. This field itself is not a single discipline, but rather a heterogeneous amalgam of different techniques of mathematics and science. In fact, under the label of Complexity Sciences we comprehend a large variety of approaches: nonlinear dynamics, deterministic chaos theory, nonequilibrium thermodynamics, fractal geometry, intermediate asymptotics, complete and incomplete similarity, renormalization group theory, catastrophe theory, self-organized criticality, neural networks, cellular automata, fuzzy logic, etc. Aim of this paper is at providing insight into the role of complexity in the field of Materials Science and Fracture Mechanics [2-3]. The presented examples will be concerned with the snap-back instabilities in the structural behaviour of composite structures (Carpinteri [4-6]), the occurrence of fractal patterns and selfsimilarity in material damage and deformation of heterogeneous materials, and the apparent scaling on the nominal mechanical properties of disordered materials (C...

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Snap-back softening instability in high-strength concrete beams

Cited by 24 publications

References 8 publications

Crack mouth opening displacement controlled fracture tests of brittle ceramics

Crack mouth opening displacement controlled fracture tests of brittle ceramics

Influence of experimental variables on fracture toughness determined on SEVNB in three points bending. Mullite a case study

Complexity: a new paradigm for fracture mechanics

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