ONE-DIMENSIONAL CONSOLIDATION OF LAYERED SOILS WITH IMPEDED BOUNDARIES UNDER TIME-DEPENDENT LOADINGS

On the basis of Terzaghi‘s one-dimensional consolidation theory, the variation of effective stress ratio in layered saturated soils with impeded boundaries under timedependent loading was studied. By the method of Laplace transform, the solution was presented. Influences of different kinds of cyclic loadings and impeded boundaries conditions were discussed. Through numerical inversion of Laplace transform, useful illustrations were given considering several common time-dependent loadings. Pervious or impervious boundary condition is just the special case of the problem considered here. Compared with average index method, the results from the method illustrated are more accurate.     

求解双参数层状地基模型的积分变换法

计算弹性地基梁板时，大都采用文克尔地基模型。由于该模型过于简化，不能正确反映土的工程性质，为此本文提出了一种双参数层状地基模型。该模型由一系列的弹性层组成，并对每一层中应力应变分布做了假设。通过积分变换的方法可以求出每一层表面处位移与力之间的关系，进而形成层刚度矩阵。按照有限元法的原理，可把每一层的刚度矩阵凝聚成总体刚度矩阵进行求解。本文模型是V1azov模型的延伸和发展。通过与V1azov模型计算结果的比较，证明本文方法是正确的。并且本文得到了荷载作用于层状模型内部时的解答，为将双参数地基模型用于桩基分析打下了理论基础。     

横观各向同性半无限空间表面典型荷载作用下的地基附加应力系数

在胡海昌和Ｌｅｋｈｎｉｔｓｋｉｉ解的基础上,求得了地基表面作用竖直载荷时的附加应力每当的统一表达式,它可同时适用于各向同性和横观各向同性地基材料,详细讨论了５种典型载荷工况：圆形均布荷载、矩形均布荷载、矩形三角形分布荷载、均布线性和条形荷载、解的最终结果可由初等函数表示,文中同时也通过数值例子图示了材料各向异性对附加应力系数的影响。     

Stress in transversely isotropic half-space with typical loads acting on its surface

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｓｏｉｌｍｅｃｈａｎｉｃｓ,ｔｈｅｐｒｏｂｌｅｍｓｄｅａｌｉｎｇｗｉｔｈｓｔｒｅｓｓｉｎｆｏｕｎｄａｔｉｏｎｓａｒｅｕｓｕａｌｌｙｒｅｆｅｒｒｅｄａｓｔｈｅＢｏｕｓｓｉｎｅｓｑｓｏｌｕｔｉｏｎｓａｎｄｔｈｅＣｅｒｒｕｔｉｏｎｅｓ (Ｌｏｖｅ[1 ] ;Ｌｕｒｅ[2 ] ) .Ｆｕｒｔｈｅｒｉｎｖｅｓｔｉｇａｔｉｏｎ (Ｂａｒｄｅｗ[3 ] ;Ｇｉｂｓｏｎ[4 ] )ｔｏｏｋｔｈｅｆｏｕｎｄａｔｉｏｎａｓａｐｐｒｏｘｉｍａｔｉｏｎｏｆｔｒａｎｓｖｅｒｓｅｌｙｉｓｏｔｒｏｐｉｃｈａｌｆ＿ｓｐａｃｅ .Ｍ…     

两相介质中波在平面界面上的反射

借助Ｂｉｏｔ多孔介质中的波动方程，根据各种界面条件导出了波在两相介质各种界面上反射的一般计算公式。作为例子，数值计算了Ｐ１波入射于几种典型界面时，Ｐ１、Ｐ２和Ｓ波的反射系数与频率、入射角之间的关系。结果表明：各种波的反射系数与入射角、频率有关系，若把多孔介质当作单相均一固体处理，将会得到显著不同的结果。     

非均质流固耦合介质轴对称动力问题时域解

将地基视为流固两相介质并考虑其非均质成层特性，推导了多层地基动力问题时域解．文中首先建立了一组解耦的两相介质动力控制方程；而后利用Ｌａｐｌａｃｅ－Ｈａｎｋｅｌ变换推导了单层地基象空间初参数解答；再利用初参数法及传递矩阵技术导出了任意多层地基瞬态解的一般解析算式．本文获得的解答可方便地退化为现有理想弹性介质的解答     

SPHERICAL WAVE PROPAGATION IN SATURATED SOILS

I.IntroductionSaturatedsoilistheonecommonlyencounteredinengineeringandfluid-solidcoupledmedium.Forsimplicity,saturatedsoilisoftentreatedasone-phasemediumfortheanalysisofdynamicresponse.Itisreasonabletotakeintoaccounttwo-phase(solidandfluid)fordynamicresponseofsoils.SinceBolt'stheoryonwavepropagationanddynamicconsolidationofsaturatedsoilswerefounded(Bolt,1941,Bolt,1956),agreatprogresshasbeendeveloped.inthefieldofdynamicanalysisofsaturatedsoils.Halpern(1986)presentedsteady-statevibrationrespon…     

成层固体介质中Stoneley波特性

建立了成层无限固体介质中Stoneley波的特征方程,并利用这一特征方程进一步讨论了成层无限固体介质中Stoneley波的特性。     

变荷载下半透水边界成层地基的一维固结

在Terzaghi一维固结理论假设基础上，研究分析了半透水边界的层状饱和土在变荷载作用下有效应力比的变化规律．利用Laplace变换，得到了随时间任意变化荷载作用下的解答，并结合Laplace逆变换方法，对几种常见变荷载作用下的情况进行了讨论，得到了一些有益的结论．通常所研究的透水或不透水边界条件只是该的特例．和平均指标法相比，该所给方法计算的土体有效应力变化规律更精确．     

PROPAGATION VELOCITIES OF ELASTIC WAVES IN SATURATED SOILS

Based on the wave equations established by the anthors,the characteristics ofpropagation velocities of elastic waves in saturated soils are analyzed and verified byultrasonic test in laboratory and seismic survey in the field.The results provide theoreticalbasis for the determination of physical and mechanical parameters of saturated soils usingpropagation velocities of elastic waves,especially P-wave Velocity.