泛形断裂能及传统断裂能的尺寸效应

发布时间：2019-02-25 09:58

【摘要】：基于泛形有限整数维测度,提出了材料泛形断裂能概念,并直接得到了传统断裂能的尺寸效应。将其应用于混凝土,泛形断裂能的数值结果与通过断裂韧性计算得到的临界应变能释放率基本一致。研究结果表明:材料表面能仍是材料断裂行为的主导因素,因而泛形断裂能可作为混凝土断裂性质的表征参数,为长期以来存在的传统断裂能与临界应变能释放率的计算结果不一致的困惑提供了一个合理的解释。此外,计算结果显示混凝土的泛形断裂能不存在尺寸效应。
[Abstract]:Based on the panoramic finite integer dimension measure, the concept of panoramic fracture energy is proposed, and the size effect of traditional fracture energy is obtained directly. When applied to concrete, the numerical results of panoramic fracture energy are consistent with the critical strain energy release rate obtained by fracture toughness calculation. The results show that the surface energy of the material is still the dominant factor in the fracture behavior of the material, so the panoramic fracture energy can be used as the parameter of the fracture properties of concrete. It provides a reasonable explanation for the confusion that the calculation results of the traditional fracture energy and the critical strain energy release rate are inconsistent for a long time. In addition, the results show that there is no size effect in the panoramic fracture energy of concrete.
【作者单位】：北京理工大学爆炸科学与技术国家重点实验室;
【基金】：国家自然科学基金项目(11221202;11390362)
【分类号】：TU528

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