【摘要】 讨论了混凝土板非线性分析的微平面法。首先,介绍了微平面法的最新进展、优点和五个基本假设。基于这些假设导出了混凝土的一般本构关系,并进一步给出了本构关系中所包含各参数的显式表达式。然后将混凝土板分成若干层,建立起每层板节点力与节点位移之间的关系。再应用虚功原理,获得了混凝土板有限元分析的计算公式。最后,为了验证本文数值方法,计算了一混凝土板在五个集中力作用下板中心位移与外力之间的关系。数值解与实验数据之间的良好一致性初步证实了该方法的有效性。更多还原

【Abstract】 A microplane method for the nonlinear analysis of concrete slabs is discussed in this paper. Firstly, the latest developments, advantages and five fundamental assumptions of microplane methods are introduced. Based on these assumptions, a general constitutive relationship of concrete is derived and the explicit expressions of the various parameters involved in the constitutive relationship are further given. Then, the concrete slab is divided into several layers and the relationships between the nodal forces and displacements of each layer slab are established. By applying the principle of virtual work, the calculation formulae of finite element analysis for concrete slabs are obtained. Finally, for a concrete slab subjected to five concentrated forces, the relationship between the displacement at the center of the slab and the external forces is calculated to validate the numerical method given in this paper. The good agreement between the numerical solution and the experimental data preliminarily verify the effectiveness of the method.更多还原