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基于扩孔理论的劈裂注浆启劈压力解析

何欢 寇磊

应用数学和力学2024,Vol.45Issue(12):1555-1566,12.
应用数学和力学2024,Vol.45Issue(12):1555-1566,12.DOI:10.21656/1000-0887.440324

基于扩孔理论的劈裂注浆启劈压力解析

Analysis of Critical Fracturing Pressure of Splitting Grouting Based on the Cavity Expansion Theory

何欢 1寇磊1

作者信息

  • 1. 郑州大学水利与交通学院,郑州 450001
  • 折叠

摘要

Abstract

Based on the spherical cavity expansion theory,combined with the spatially mobilized plane(SMP)criterion and the critical state concept,the Wheeler model describing the anisotropy of soft clay was applied to analyze the spherical cavity expansion problem in split grouting.A dual interval analysis model was used to di-vide the soil into elastic and plastic zones,and the stress-strain and displacement fields of the soil around the cavity were derived under the elastic-plastic interval boundary conditions.Theoretical calculations of the soil expansion radius,the critical fracturing pressure,and the plastic volumetric strain after split grouting were car-ried out and demonstrated by several examples.The results show that,the radial and circumferential stresses decrease with parameter r/rp;the critical fracturing pressure increases with the internal friction angle;the inter-nal friction angle is an important influential factor in the elastic-plastic analysis of the soil,and the larger the in-ternal friction angle is,the smaller the plastic circumferential strain,the plastic radius and the plastic displace-ment,and the larger the splitting pressure,will be.

关键词

启劈压力/Wheeler模型/SMP强度准则/球孔扩张

Key words

critical fracturing pressure/Wheeler model/SMP criterion/spherical cavity expansion

分类

土木建筑

引用本文复制引用

何欢,寇磊..基于扩孔理论的劈裂注浆启劈压力解析[J].应用数学和力学,2024,45(12):1555-1566,12.

基金项目

国家自然科学基金(51708512 ()

52079128) ()

应用数学和力学

OA北大核心CSTPCD

1000-0887

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