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Influence of size strength relation in modeling the behaviour of quasi-brittle materials

机译:尺寸强度关系对准脆性材料行为建模的影响

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Modeling the behaviour of quasibrittle materials (concrete, rock, fiber composites, ceramics, etc.) is a challenging task for engineers. A comprehensive approach and methodology are required for the fracture mechanics problems of quasibrittle materials. In quasi brittle materials, the fracture process zone ahead of the crack tip is not negligible compared to the characteristic cross-sectional dimension of the specimen. Influence of strain softening zones due to cracking must be considered. This paper illustrates the importance of size effect and its salient features in the field of fracture mechanics. According to Bazant Size effect law1, the asymptotic deviation of nominal strength with respect to structural size varies from strength criteria for small size specimen to linear elastic fracture mechanics (LEFM) for large size specimen. The salient characteristics of Weibull’s statistical weak link theory and nonlocal damage theory for modeling are explained. Influence of size effect on modulus of rupture, brittleness number and rate of loading are illustrated. Salient features of crack band model, microplane model and their applications have also been summarized. Recent trends in developing virtual internal pair bond model for quasibrittle materials are also included. These concepts are essential for carrying out analytical investigations and development of design guidelines. Relatively large fracture process zone present in concrete enhances the need for extensive research in experimental methods, appropriate physical process and numerical techniques to simulate the fracture behaviour of quasibrittle materials. A summary of various models for quasibrittle materials using fracture mechanics is also presented.
机译:对准脆性材料(混凝土,岩石,纤维复合材料,陶瓷等)的行为进行建模对于工程师而言是一项艰巨的任务。对于准脆性材料的断裂力学问题,需要一种综合的方法和方法。在准脆性材料中,与试样的特征横截面尺寸相比,裂纹尖端之前的断裂过程区域不可忽略。必须考虑裂纹引起的应变软化区的影响。本文阐述了尺寸效应及其在断裂力学领域的显着特征的重要性。根据Bazant尺寸效应定律 1 ,标称强度相对于结构尺寸的渐近偏差从小尺寸试样的强度标准到大尺寸试样的线性弹性断裂力学(LEFM)不等。解释了威布尔统计弱链接理论和非局部损伤理论的显着特征。说明了尺寸效应对断裂模量,脆性数和加载速率的影响。还总结了裂纹带模型,微平面模型的显着特征及其应用。还包括开发用于准脆性材料的虚拟内部对键模型的最新趋势。这些概念对于进行分析研究和制定设计准则至关重要。混凝土中存在相对较大的断裂过程带,这需要对实验方法,适当的物理过程和数值技术进行广泛研究以模拟准脆性材料的断裂行为。还介绍了使用断裂力学的准脆性材料的各种模型的摘要。

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