Nonlinear transient phenomena in saturated porous media
Nonlinear transient phenomena in saturated porous media
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DOI：
10.1016/0045-7825(82)90052-4
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发表时间：
1982-04
影响因子：
7.2
通讯作者：
J. Prévost
中科院分区：
文献类型：
--
作者：
J. Prévost
本文分析了饱和多孔介质的瞬态“静态”和“动态”响应。将饱和多孔介质视为两相系统，其状态由各相内的应力、位移、速度和加速度描述。建立了基于混合物理论的耦合场方程和本构方程，并用有限元法进行了数值求解。时间积分是通过使用一个隐式/显式的预测器/multicorrector计划开发的Hughes和同事。该程序允许方便地选择隐式和显式元素，并为隐式/显式分裂的各种运营商出现在微分方程。所提出的程序的准确性和通用性证明，通过应用它来获得各种动态和伪静态，一维和二维初值问题的解决方案。
In this report the transient ‘static’ and ‘dynamic’ response of saturated porous medium is analyzed. The saturated porous medium viewed as a two-phase system whose state is described by the stresses, displacements, velocities and accelerations within each phase. The coupled field and constitutive equations based on mixture's theories are presented, and solved numerically by the use of the finite element method. Time integration is achieved by using an implicit/explicit predictor/multicorrector scheme developed by Hughes and co-workers. The procedure allows for a convenient selection of implicit and explicit elements, and for an implicit/explicit split of the various operators appearing in the differential equations. Accuracy and versatility of the proposed procedure are demonstrated by applying it to obtain solution to various dynamic and pseudo-static, one- and two-dimensional initial value problems.