高围压混凝土柱轴压力作用下的应力比值分析.pdf

混 凝 土 工 程 第4卷　第30期 CONSTRUCTION 2014年10月 高围压混凝土柱轴压力作用下的应力比值分析 黄长鑫 同济大学建筑工程系　上海　200092 摘　要：利用弹性力学理论，推导了高围压混凝土柱在轴向压力作用下，线弹性阶段的法向压应力与轴向压应力比值。利用假定余能密度方 法，并结合混凝土结构设计规范中混凝土单向受压本构方程，建立了混凝土柱在非线弹性阶段的本构关系模型。在该模型基础上，得出了混凝土 材料进入非线性阶段后上述应力比值的范围。理论推导结果表明高围压混凝土柱线弹性阶段的应力比值上限为0.25。非线性阶段的应力比值的范 围是（0.25，0.32]，且混凝土强度等级对该应力比值范围的影响不大。该应力比值范围可定量反映侧向严格约束的混凝土受压柱的应力状态，为相 关研究提供计算依据。 关键词：混凝土；弹塑性理论；非线弹性本构模型；假定余能密度方法；应力比值； Study on the stress ratio of axial compressed concrete column with lateral restraint Huang Changxin (Department of structural engineering, Tongji University, Shanghai 200092, China) Abstract: Based on the theory of elastic mechanics, this paper deduced the stress ratio of normal compressive stress and axial compressive stress of axial compressed concrete column with strictly lateral restraint in the linear elastic phase. Using the assumed complementary energy density method and the uniaxial compression constitutive equation suggested by the concrete design code, a nonlinear constitutive relationship is derived. On the basis of the constitutive model, the above stress ratio in the nonlinear stage is obtained. Theoretical results show that the stress ratio’s elastic limit is 0.25. In the nonlinear phase, the ratio range is (0.25,0.32]. Strength grade of concrete has little influence on the ratio range. This ratio range can quantitatively reflect the stress state of concrete column under compression with strictly lateral restraint. It can provide a reference for the relevant research as well. Key Words: concrete；the elastic-plastic theory；non-linear elast