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考虑应变软化和剪胀的柱形孔扩张理论分析

Theoretical Analysis of Cylindrical Cavity Expansion Considering Strain-softening and Shear Dilatation
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摘要 采用应力跌落软化模型、简化的体变ε2-大主应变ε1及大主应变ε3-小主应变ε1关系反映岩土类材料的软化和剪胀特性,基于Mohr-Coulomb破坏准则和平面应变轴对称问题的控制方程,推导并给出柱形孔扩张问题的应力场、应变场、位移场、塑性区半径和孔扩张压力的求解公式。通过算例,分析了剪胀因素、软化特性对孔扩张问题的影响。为了反映剪胀和软化特性对柱形孔扩张的影响,将本研究解与基于理想弹塑性模型的解进行了比较分析,结果表明,剪胀和软化特性对孔扩张影响显著。 Based on Mohr-Coulomb criterion and the governing equations of axial symmetry in the plane strain condition, the partial differential equations for the boundary-value problem of cavity cxpansion in cohesive soil were established and the closed-form solutions of stresses, strains, displacements in the elastic and plastic regions were obtained, Consequently, the maxi- mum radius of plastic region and ultimate cavity pressure were solved for cylindrical cavity expansion in finite mass, Based on numerical results, the strain-softening rate and the effects of soil dilatancy on cylindrical cavity expansion were examined. A comparative study was made for the current selution and the solution based on elastic-perfectly plastic model in order to analyse the effect of soil dilatancy and strain-soften, The result indicated that the effect of the strain-softening and the shear dilatation were Significant.
出处 《沈阳农业大学学报》 CAS CSCD 北大核心 2006年第6期878-883,共6页 Journal of Shenyang Agricultural University
关键词 剪胀 软化 柱形孔扩张 弹塑性分析 shear dilatation strain-softening expansion of cylindrical cavity clasto-plastic analysis
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参考文献8

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二级参考文献2

  • 1龚晓南,土塑性力学,1990年
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