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突变理论新解及其在桩基工程中的应用 被引量:6

NEW CATASTROPHE THEORY & ITS APPLICATION IN PILE FOUNDATION ENGINEERING
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摘要 对经典突变理论进行延伸,提出了一种新的、适用于准脆性介质的突变理论,认为结构非线性失稳源自于自身本构关系。将新提出的突变理论应用到桩基工程,对灌注混凝土端承桩的破坏机制进行了探索,明确了端承桩的失效模式为失稳破坏模式,并给出了其失稳的数学、力学判据和承载力计算公式。以两个实际工程为例,将理论值与实测值进行比较,二者吻合较好。鉴于灌注混凝土端承桩延性、脆性破坏难以区分的实际情况,该文同时给出了端承桩延性破坏和脆性破坏的界定标准,并提出了相应的工程建议。 A new type of catastrophe theory of quasi-brittle materials is proposed. The essence of the new type of theory is that the nonlinear instability of the structure is derived from its own constitutive relationship. Then the new type of theory is applied to the cast-in-place end bearing pile for exploring its failure modes. Obviously, the failure of end bearing piles is caused by the nonlinear instability. Furthermore, the failure mechanism of end bearing piles is introduced and the mathematical and mechanical criteria are presented. At last, two examples are analyzed for validation of the new type of theory. Just as expected, the theoretical results agree well with the experimental ones. Besides, some suggestions are given to distinguish ductile and brittle failure of end bearing piles.
作者 贺广零
出处 《工程力学》 EI CSCD 北大核心 2009年第9期126-130,137,共6页 Engineering Mechanics
基金 国家自然科学基金委创新研究群体项目(50321803 50621062)
关键词 突变理论新解 桩基工程 准脆性介质 本构关系 失稳破坏 new catastrophe theory pile foundation engineering quasi-brittle material constitutive relationship instability
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参考文献5

  • 1阿诺德.突变理论[M].周燕华,译.北京:高等教育出版社,1990.
  • 2Hudson J A, Fairhurst C. Tensile strength, Weibull's theory and a general statistical approach to rock failure [C]// University of Southampton. Proceedings of Civil Engineering Materials Conference on Structure, Solid Mechanics and Engineering Design (Part 2). Southampton UK, Pergamon Press, 1969.
  • 3徐曾和,徐小荷,唐春安.坚硬顶板下煤柱岩爆的尖点突变理论分析[J].煤炭学报,1995,20(5):485-491. 被引量:60
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  • 5DGJ08-11-1999.地基基础设计规范[S].[S].上海:上海现代建筑设计(集团)有限公司,1999..

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