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非线性弹性土中桩基的屈曲和后屈曲分析 被引量:1
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作者 朱媛媛 胡育佳 程昌钧 《力学季刊》 CSCD 北大核心 2012年第4期526-534,共9页
把桩基视为一种嵌入于非线性弹性土中的梁-柱结构,研究了受轴力和分布力作用的桩基的屈曲和后屈曲。首先,在中等程度的有限变形条件下,建立了分析弹性梁-柱结构力学行为的一般的3维非线性数学模型。其次,作为模型的应用,分析了3种不同... 把桩基视为一种嵌入于非线性弹性土中的梁-柱结构,研究了受轴力和分布力作用的桩基的屈曲和后屈曲。首先,在中等程度的有限变形条件下,建立了分析弹性梁-柱结构力学行为的一般的3维非线性数学模型。其次,作为模型的应用,分析了3种不同端部条件下桩基的非线性稳定性。借助于打靶法,这些稳定性问题被转化为相应的有限维分支方程的分叉问题。最后,根据奇点理论和分支问题的数值计算方法,提出了一种计算相应分叉问题分支解的新的数值计算方法,并成功计算了3种不同端部条件下桩基的前屈曲状态,前3个临界载荷,后屈曲状态,以及相应的后屈曲平衡路径,并进行了比较。 展开更多
关键词 桩基 非线性几何关系 非线性弹性土 分岔分析 屈曲和后屈曲特性
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Elastic-plastic analysis for pile-anchor supporting system of deep foundation pit
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作者 JIN Yingyu BAI Yu 《Global Geology》 2009年第4期236-240,共5页
By using numerical analysis methods to simulate the deep excavation,a lot of analyses are established on the basis of two-dimensional plane strain,ignoring the fact that foundation pit possesses three dimensions. For ... By using numerical analysis methods to simulate the deep excavation,a lot of analyses are established on the basis of two-dimensional plane strain,ignoring the fact that foundation pit possesses three dimensions. For soil constitutive relation,people always take linear and nonlinear model,without considering the plastic behavior of soil. Using plastic-elastic hardening model to simulate constitutive relation of soil characteristics,the authors carried out mechanical analysis for pit excavation and support. The results show that the analysis for the stress state of pile anchor system is an effective way which provides theoretical basis for calculation of soil displacement. 展开更多
关键词 deep foundation pit elastic-plastic constitutive relation flowing law bearing characteristic
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A nonlinear multi-field coupled model for soils 被引量:15
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作者 CAI GuoQing ZHAO ChengGang +1 位作者 LIU Yan LI Jian 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第5期1300-1314,共15页
A nonlinear multi-field coupled model for multi-constituent three-phase soils is derived by using the hybrid mixture theory. The balance equations with three levels (constituents, phases and the whole mixture soil) ar... A nonlinear multi-field coupled model for multi-constituent three-phase soils is derived by using the hybrid mixture theory. The balance equations with three levels (constituents, phases and the whole mixture soil) are set up under the assumption that soil is composed of multi-constituent elastic-plastic solid skeleton (which is different from the linearization method) and viscous liquid and ideal gas. With reasonable constitutive assumptions in such restrictive conditions as the principles of determinism, equipresence, material frame-indifference and the compatible principle in continuum mechanics, a theoretical framework of constitutive relations modeling three-phase soil in both non-equilibrium and equilibrium states is established, thus the closed field equations are formed. In the theoretical framework, the concept of effective generalized thermodynamic forces is introduced, and the nonlinear coupling constitutive relations between generalized dissipation forces and generalized flows within the system at nonequilibrium state are also presented. On such a basis, four special coupling relations, i.e., solid thermal elastic-plastic constitutive relation, liquid visco-elastic-plastic constitutive relation, the generalized Fourier’s law, and the generalized Darcy’s law are put forward. The generalized or nonlinear results mentioned above can degenerate into the linear coupling results given by Bennethum and Singh. Based on a specific dissipation function, the concrete form of generalized Darcy’s law is deduced, which may degenerate into the traditional form of Darcy’s law by neglecting the influence of skeleton deformation and temperature. Without considering temperature and other coupling effects, the nonlinear coupled model in this paper can degenerate into a soil elastic-plastic constitutive model. 展开更多
关键词 multi-field coupled model for soils hybrid mixture theory NON-LINEAR multi-constituent
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