Static And Dynamic Characteristics Research Of Unsaturated Elastic Half-space Foundation Under Load

The subject of dynamic response of foundation involves geotechnical engineering,solid mechanics,mathematics and other disciplines,but the research of unsaturated soil foundation is still in the preliminary stage.In this paper,a semi-analytical method is used to study the dynamic and static response of foundation.The semi-analytical method takes into account the advantages of numerical method and analytical method,simplifies the complexity of calculation,and makes the complex three-phase problem can be solved conveniently and effectively.Based on the semi-analytical method,first,to solve the static response of the unsaturated elastic half space foundation problem,and then the dynamic response research theory of unsaturated elastic half-space foundation under moving load is established by introducing the “moving element method” and the semianalytical method.The static and dynamic response of unsaturated elastic half space under load is numerically analyzed by programming the corresponding calculation program.Based on the motion equation of unsaturated soil,seepage motion equation,constitutive equation and continuity equation,the physical and mechanical meanings of many parameters of unsaturated soil are clarified,and the governing equation of unsaturated porous media is sorted out.The boundary conditions of unsaturated porous media are established by elastic theory.The semi-analytical theory of unsaturated elastic half-space ground under static load is established.By putting forward the layer element displacement function and pore pressure function conforming to unsaturated porous media,the static basic equation of unsaturated half space foundation is obtained by using semi-analytical weighted residual method,and the static response of unsaturated elastic half space foundation under static load is numerically analyzed.The semi-analytical theory of unsaturated elastic half-space ground under moving loads is established.Based on the governing equations and boundary conditions of unsaturated porous media,the governing equations and boundary conditions of unsaturated porous media in the moving coordinate system are obtained by coordinate transformation The moving element method is introduced into the semi-analytical method of unsaturated porous media to construct the layer element which moves with the load,and the dynamic basic equation of unsaturated elastic half-space foundation under the action of moving load is established by the weighted residual method.Converts the question of the motive forces of the fixed coordinates "quasi-static" problem under the moving coordinate system is analyzed,based on the study of unsaturated elastic half space under moving load dynamic response of the foundation.Layer based on the theory of elastic mechanics,with the introduction of mobile unit unsaturated elastic half space under moving load is established the foundation of control equations and boundary conditions,the mobile was established by semi-analytical weighted residue method layer cell of basic equations,the numerical analysis of the moving load under the action of the dynamic response of unsaturated elastic half space foundation problem.