引用本文:王年香,魏汝龙.半无限土坡弹塑性应力的计算[J].水利水运工程学报,1999,(1):geMap1-
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半无限土坡弹塑性应力的计算
王年香,魏汝龙
南京水利科学研究院土工研究所
摘要:
本文根据Mohr-Coulomb屈服准则推导了半无限土坡在坡顶竖向荷载作用下的应力计算公式。结果表明:在坡顶荷载q作用下,半无限土坡将经历弹性—弹塑性的变化过程。当q小于临塑荷载qp时,土坡处于弹性状态;当q=qp时,土坡处于临塑状态,从临塑角处开始出现塑性变形。随着q的继续增大,塑性区不断扩大,土坡处于弹塑性状态;当q等于极限荷载时,土坡达到极限平衡状态,坡内应力可分为三个区。文中还给出了半无限土坡临塑角及临塑和极限荷载系数的计算图表。
关键词:  弹塑性应力,临塑荷载,极限荷载,半无限土坡
DOI:
分类号:TU43,TV641.2
基金项目:
Analysis of elasto-plastic stresses in semi-infinite slope
Wang Nianxiang,Wei Rulong
Nanjing Hydraulic Research Institute
Abstract:
According to the Mohr Coulomb yield criterion, the stress field of a semi infinite slope is derived under a vertical uniform load q on the top of the slope.It is indicated that elastic and elasto plastic states would occur in the slope. When q is less than the critical load q p ,the slope is in elastic state. If q equals q p ,the slope is in critical state, and the plastic deformation may occur beyond the critical angle. With the increase of q , the plastic zone would extend, and the slope is in the elasto plastic state. If q equals limit load, the slope is in limit equilibrium state. The slope may be divided into three zones. Some charts of the critical angle, the critical and limit load coefficients are presented in this paper.
Key words:  elasto plastic stress, critical load, limit load, semi infinite slope
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