岩土力学
巖土力學
암토역학
ROCK AND SOIL MECHANICS
2009年
12期
3682-3688
,共7页
半无限平面应变体%半空间体%判断依据%关系%解答局限性%有限深地基
半無限平麵應變體%半空間體%判斷依據%關繫%解答跼限性%有限深地基
반무한평면응변체%반공간체%판단의거%관계%해답국한성%유한심지기
semi-infinite plane strain%semi-infinite space%logical judgement%relation%answer confinement%finite deep foundation
根据两个合理的判断依据,对弹性力学中的楔形体、半平面体、圆锥体和半空间体等经典解答进行了比较分析,发现了半无限平面应变问题和半空间体问题解答之间的关系;通过对解答之间的关系进行研究分析指出,弹性力学中的半无限平面体的符拉芒解答和半空间体的布希涅斯克解答存在局限性.对半无限地基、底部完全位移约束的有限深地基和底部光滑刚性支承的有限深地基在水平表面作用无限均布压力时的应力和位移分量进行了比较分析,认为底部完全位移约束的有限深地基模型较其他两种地基模型更合理些.
根據兩箇閤理的判斷依據,對彈性力學中的楔形體、半平麵體、圓錐體和半空間體等經典解答進行瞭比較分析,髮現瞭半無限平麵應變問題和半空間體問題解答之間的關繫;通過對解答之間的關繫進行研究分析指齣,彈性力學中的半無限平麵體的符拉芒解答和半空間體的佈希涅斯剋解答存在跼限性.對半無限地基、底部完全位移約束的有限深地基和底部光滑剛性支承的有限深地基在水平錶麵作用無限均佈壓力時的應力和位移分量進行瞭比較分析,認為底部完全位移約束的有限深地基模型較其他兩種地基模型更閤理些.
근거량개합리적판단의거,대탄성역학중적설형체、반평면체、원추체화반공간체등경전해답진행료비교분석,발현료반무한평면응변문제화반공간체문제해답지간적관계;통과대해답지간적관계진행연구분석지출,탄성역학중적반무한평면체적부랍망해답화반공간체적포희열사극해답존재국한성.대반무한지기、저부완전위이약속적유한심지기화저부광활강성지승적유한심지기재수평표면작용무한균포압력시적응력화위이분량진행료비교분석,인위저부완전위이약속적유한심지기모형교기타량충지기모형경합리사.
According to two logical judgements, the relation of the semi-infinite plane strain problem and semi-infinite spatial problem is found through analyzing the classical answer of wedge, semi-infinite plane, cone and semi-infinite spatial etc. The Flament answer of semi-infinite plane strain problem and the Boussinesq answer of semi-infinite spatial problem are confinable from the relation. Based on a comparison of stress and displacement components of the semi-infinite elastic foundation, the elastic finite depth foundation with rigid constraint at the bottom, and the elastic finite depth foundation with smooth rigid supporting constraint at the bottom under infinite uniform pressure on horizontal surface, it is concluded that the elastic finite deep foundation model with rigid constraint at the bottom is more rational than other two models.