Development of theory and analysis method for localization and progressive failure

局部化和渐进失效理论和分析方法的发展

• 批准号: 10450166
• 负责人: HORII Hideyuki
• 金额: $ 8.13万
• 依托单位: THE UNIVERSITY OF TOKYO
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10450166/
• 关键词: Localization; Progressive failure; bifurcation theory; softening phenomena; sliding surface

A theory and an analysis method for cracking localization are presented. The method to judge the initiation of localization and to find the localized is solution is presented through consideration of spring-crack element models. It is shown that the problem is reduced to a minimization problem under constraint conditions. The theory is generalized and applied to problems of cracking localization in concrete. The proposed method can reproduce the localization of initially distributed cracks into a single crack in a four-point bending test. It is shown that to capture the ultimate strength of structures treatment of the localization of cracks or shear failure planes is necessary in many cases, and minimization problems under constraint conditions are the problems to be solved.A finite element with displacement discontinuities is developed and finite element analysis for cracking localization is carried out using the proposed theory of cracking localization. It is demonstrated that crack growth and localization in concrete dam under large earthquake excitation is captured by the present method.The progressive failure in soft rock is also considered, and an analysis method for progressive failure in soft rock is presented. Plane strain biaxial compression tests on artificial soft rock are carried out and the pre-peak constitutive relationship, the failure condition and the behavior of failure plane are modeled. Analysis of progressive failure in soft rock are carried out and results are compared with that of model tests with soft rock.

提出了裂纹局部化的理论和分析方法。通过对弹簧-裂纹单元模型的考虑，给出了判断局部化起始和求解局部化解的方法。结果表明，该问题归结为一个最小化问题的约束条件。将该理论推广应用于混凝土裂缝局部化问题。所提出的方法可以重现本地化的初始分布的裂纹到一个单一的裂纹在四点弯曲试验。结果表明，在许多情况下，为了获得结构的极限强度，需要对裂纹或剪切破坏面进行局部化处理，而约束条件下的极小化问题是需要解决的问题。结果表明，该方法能较好地反映混凝土坝在大震作用下的裂纹扩展和局部化过程，并考虑了软岩的渐进破坏，提出了一种软岩渐进破坏的分析方法。对人工软岩进行了平面应变双轴压缩试验，建立了峰前本构关系、破坏条件和破坏面特性模型。对软岩的渐进破坏进行了分析，并与模型试验结果进行了比较。

项目成果

H. Horii, J. Inoue, M. Brocca: "Thermomechanics Based Theory and Analysis of Cracking Localization in Concrete Dam under Earthquake Excitation"Material Instabilities in Solids, R. de Borst and E. van der Giessen eds. John Wiley & Sons, Chapter 9. 125-136

H. Horii、J. Inoue、M. Brocca：“基于热力学的地震激励下混凝土坝裂纹局部化的理论和分析”固体中的材料不稳定性，R. de Borst 和 E. van der Giessen 编辑。

H. Horii, P. Kabele, S. Takeuchi, V. C. Li, S. Matsuoka, T. Kanda: "On the prediction method for the structural performance of repaired/retrofitted structures"Fracture Mechanics of Concrete Structures Proc. FRAMCOS-3, AEDIFICATIO Pub. 1739-1750 (1998)

H. Horii，P. Kabele，S. Takeuchi，V. C. Li，S. Matsuoka，T. Kanda：“关于修复/改造结构的结构性能的预测方法”混凝土结构断裂力学Proc。

H.Horii,H.Yoshida: "A new definition of safety factor and a cavern design method based on MBC analysis"Proc.of 9th Int.Congress on Rock Mechanics,edited by G.Vouille & P.Berest,Paris 1999,Balkema. Vol.1. 425-428 (1999)

H.Horii、H.Yoshida：“安全系数的新定义和基于MBC分析的洞室设计方法”第九届国际岩石力学大会论文集，G.Vouille编辑

H.Horii,K.Takamatsu,J.Inoue,N.Sasaki: "Measurement of desplacement field by "Matching Method" and ebservation of strain localization in soft rock"Proc.of Second International Conference on Imaging Technologies,Davos Switzerland,May 25-30,edited by J.D.Fro

H.Horii、K.Takamatsu、J.Inoue、N.Sasaki：“通过“匹配法”测量位移场并观察软岩中的应变局部化”Proc.of 第二届国际成像技术会议，瑞士达沃斯，5 月 25 日

吉田秀典、堀井秀之: "地盤材料に対するマイクロメカニクスに基づく連続体モデル"応用力学論文集. vol.1. 527-536 (1998)

Hidenori Yoshida、Hideyuki Horii：“基于研磨材料微观力学的连续体模型”应用力学杂志第 1 卷（1998 年）。