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砂土特征状态线及不排水特性的初始状态分区 被引量:1
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作者 王宁博 姚仰平 《岩土力学》 EI CAS CSCD 北大核心 2023年第11期3165-3172,共8页
砂土不排水特性表现出强烈的初始状态依赖性,为深入探究砂土这一特性,介绍了e-lnp(e为孔隙比,p为围压)平面内砂土已有与不排水特性有关的初始状态特征线,即最松固结线(loosest consolidation line,简称LCL)、静态液化分界线(static liqu... 砂土不排水特性表现出强烈的初始状态依赖性,为深入探究砂土这一特性,介绍了e-lnp(e为孔隙比,p为围压)平面内砂土已有与不排水特性有关的初始状态特征线,即最松固结线(loosest consolidation line,简称LCL)、静态液化分界线(static liquefaction dividing line,简称LDL)以及准稳态分界线(quasi steady-state dividing line,简称QDL),并在引入砂土正常压缩线(normal compression line,简称NCL)的基础上,结合剪胀和屈服理论,补充论证了LDL的存在性,给出了QDL的简易确定方法。基于特征状态线,将砂土初始状态进行了分区,分别为Ⅰ静态液化区、Ⅱ应变软化区、Ⅲ准稳态区、Ⅳ应变硬化区,使得砂土在同一初始状态特征区表现出相似的不排水剪切特性。分析了初始状态分区的应用,包括理论应用与工程应用,以期为砂土不排水特性初始状态依赖性的理解及相关工程实际提供指导。 展开更多
关键词 砂土 特征状态线 不排水特性 初始状态依赖性 分区
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Analytical Results of Eigenstates and Eigenenergies for Three Kinds of Models Describing N-mode Multiphoton Process
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作者 YANGWen-Xing LIJia-Hua +2 位作者 LIWei-Bin CHENAi-Xi JINLi-Xia 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第1期22-26,共5页
We obtain. the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N-mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical res... We obtain. the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N-mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter lambda for three kinds of models describing N-mode multiphoton process. The parameter is shown to be determined by the roots of a polynomial and is solvable analytically or numerically. Moreover, these three kinds of models can be processed with the same procedure. 展开更多
关键词 SPECTRUM EIGENSTATE EIGENVALUE
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ASYMPTOTIC STABILITY AND RIESZ BASIS PROPERTY FOR TREE-SHAPED NETWORK OF STRINGS 被引量:1
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作者 YanniGUO Genqi XU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第2期225-252,共28页
This paper discusses the asymptotic stability and Riesz basis generation for a general tree-shaped network of vibrating strings. All exterior vertices are assumed to be fixed and interior vertices are imposed linear d... This paper discusses the asymptotic stability and Riesz basis generation for a general tree-shaped network of vibrating strings. All exterior vertices are assumed to be fixed and interior vertices are imposed linear damping feedbacks. This paper shows that the system is well-posed and asymptotically stable by C0-semigroup theory. With some additional conditions, the spectrum of the system is shown to be located in a strip that is parallel to the imaginary axis and the set of all generalized eigenfunctions is completed in the state space. These lead to the conclusion that there is a sequence of generalized eigenfunctions of the system, which forms a Riesz basis with parenthesis for the state space. 展开更多
关键词 COMPLETENESS network of strings riesz basis with parentheses stability.
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