岩土力学
巖土力學
암토역학
ROCK AND SOIL MECHANICS
2014年
3期
705-709
,共5页
基底应力分布%瑞利-里兹法%应力凹陷
基底應力分佈%瑞利-裏玆法%應力凹陷
기저응력분포%서리-리자법%응력요함
basal stress distribution%Rayleigh-Ritz method%depression of stress
对岩土三棱柱堆积体的基底应力分布进行了研究,在基底应力的理论解难以求得的情形下,基于瑞利-里兹法求解出基底应力分布的近似解,并具体计算且对比了不同坡比、泊松比、基底边界条件下基底应力分布的变化,得出如下结论:基底法向应力存在应力凹陷现象,坡度越陡,应力凹陷程度越大,底边有约束时应力凹陷程度更明显;泊松比对基底法向应力的分布几乎无影响,泊松比主要影响基底切向应力分布的形态,且泊松比越大,基底切向应力值越大;坡比改变基底切向应力的最大值及其所处位置,坡比越大,基底切向应力值越大,且基底切向应力最大值距离基底中心越远。
對巖土三稜柱堆積體的基底應力分佈進行瞭研究,在基底應力的理論解難以求得的情形下,基于瑞利-裏玆法求解齣基底應力分佈的近似解,併具體計算且對比瞭不同坡比、泊鬆比、基底邊界條件下基底應力分佈的變化,得齣如下結論:基底法嚮應力存在應力凹陷現象,坡度越陡,應力凹陷程度越大,底邊有約束時應力凹陷程度更明顯;泊鬆比對基底法嚮應力的分佈幾乎無影響,泊鬆比主要影響基底切嚮應力分佈的形態,且泊鬆比越大,基底切嚮應力值越大;坡比改變基底切嚮應力的最大值及其所處位置,坡比越大,基底切嚮應力值越大,且基底切嚮應力最大值距離基底中心越遠。
대암토삼릉주퇴적체적기저응력분포진행료연구,재기저응력적이론해난이구득적정형하,기우서리-리자법구해출기저응력분포적근사해,병구체계산차대비료불동파비、박송비、기저변계조건하기저응력분포적변화,득출여하결론:기저법향응력존재응력요함현상,파도월두,응력요함정도월대,저변유약속시응력요함정도경명현;박송비대기저법향응력적분포궤호무영향,박송비주요영향기저절향응력분포적형태,차박송비월대,기저절향응력치월대;파비개변기저절향응력적최대치급기소처위치,파비월대,기저절향응력치월대,차기저절향응력최대치거리기저중심월원。
The basal stress of geotechnical triangular prism is studied. While it is impossible to get the analytical solution of basal stress distribution of geotechnical triangular prism, the approximate solution of basal stress distribution of geotechnical triangular prism is got with the Rayleigh-Ritz method. By comparison with different solutions of different slope ratios, different Poisson’s ratios, and different boundary conditions at the base, the results are drawn as follows. There is depression of basal normal stress on the base of geotechnical triangular prism. The steeper the slope is, the more depression of basal normal stress is. Much more depression occurs with the boundary condition of constraints on the base. Meanwhile, the value of Poisson’s ratio has little impact on the distribution of basal normal stress. The Poisson’s ratio mainly impacts the distribution of basal shear stress. The larger the value of Poisson’s ratio is, the larger the basal shear stress is. The slope ratio has large influence on the position and value of the maximum basal shear stress. The larger the slope ratio is, the larger the basal shear stress is, and the larger distance between the maximum basal shear stress and center of base is.