From criticality to final collapse: Evolution of the "b-value" from 1.5 to 1.0

From criticality to final collapse: Evolution of the "b-value" from 1.5 to 1.0
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DOI:
10.1016/j.chaos.2008.04.010
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发表时间:
2009-07-30
影响因子:
7.8
通讯作者:
Puzzi, Simone
Puzzi, Simone
中科院分区:
数学1区
文献类型:
--
作者:
Carpinteri, Alberto;Lacidogna, Giuseppe;Puzzi, Simone

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通过声发射(AE)技术对混凝土断裂和破坏进行的广泛研究表明,断裂和损伤增长可以通过单一的综合参数来表征,即b值,其在破坏过程的不同阶段系统地变化,如从试样到结构尺度进行的几次AE测试所示[Sammonds PR,Meredith PC,Murrel SAF,主IG。含孔隙流体岩石损伤演化的声发射模拟。在:欧洲会议记录'94; 1994;科隆博S,主要IG,福尔德MC。基于声发射信号b值分析的钢筋混凝土梁损伤评估。J Mater Civil Eng ASCE 2003;15:280-6; Carpinteri A,Lacidogna C,Niccolini G.混凝土结构的临界行为和声发射损伤定位。Key Eng Mater 2006;312:305-10]。该参数可以与受损结构中裂纹尺寸的幂律分布的指数α的值相关联。在本文中,我们提出了一个统计解释的变化过程中的b值的损伤,根据最初提出的治疗[Carpinteri A。混凝土中的机械损伤和裂缝扩展:塑性坍塌到脆性断裂。多尔德雷赫特:Martinus Nijhoff出版社; 1986; Carpinteri A.表观抗拉和抗弯强度随试样尺寸的减小:基于断裂力学的两种不同解释。Int J Solid Struct 1989;25:407-29; Carpinteri A.无序材料强度和韧性的标度律和重整化群。Int J Solid Struct 1994:31:291-302]。所提出的模型捕捉过渡的临界状态,其中α = 3,即将发生故障,其特征在于α = 2,在损坏定位方面。(c)2008爱思唯尔有限公司保留所有权利。
Extensive research and studies on concrete fracture and failure by means of the acoustic emission (AE) technique have shown that fracture and damage growth can be characterized through a single synthetic parameter, namely the b-value, which changes systematically during the different stages of the failure process, as shown by several AE tests carried out from the specimen to the structural scale [Sammonds PR, Meredith PC, Murrel SAF, Main IG. Modelling the damage evolution in rock containing porefluid by acoustic emission. in: Proceedings of the Eurock'94; 1994; Colombo S, Main IG, Forde MC. Assessing damage of reinforced concrete beam using "b-value" analysis of acoustic emission signals. J Mater Civil Eng ASCE 2003;15:280-6; Carpinteri A, Lacidogna C, Niccolini G. Critical behaviour in concrete structures and damage localisation by Acoustic Emission. Key Eng Mater 2006;312:305-10]. This parameter can be linked to the value of the exponent alpha of the power-law distribution of the crack size in a damaged structure. In this paper, we propose a statistical interpretation for the variation of the b-value during the evolution of damage, based on a treatment originally proposed by [Carpinteri A. Mechanical damage and crack growth in concrete: plastic collapse to brittle fracture. Dordrecht: Martinus Nijhoff Publishers; 1986; Carpinteri A. Decrease of apparent tensile and bending strength with specimen size: two different explanations based on fracture mechanics. Int J Solid Struct 1989;25:407-29; Carpinteri A. Scaling laws and renormalization groups for strength and toughness of disordered materials. Int J Solid Struct 1994:31:291-302]. The proposed model captures the transition from the condition of criticality, in which alpha = 3, to that of imminent failure, characterized by alpha = 2, in terms of damage localisation. (c) 2008 Elsevier Ltd. All rights reserved.