动态载荷下的混凝土本构关系及有限元实现

Beton′s Constitutive Relationship under Dynamic Load and the Realization of Finite Element

建立了应用于冲击和地震荷载下的应变率和应变历史相关的混凝土动态本构模型。该模型是建立在Perzyma的一般粘塑性理论和Bicanic的塑性间断面运动规律的基础上,应用在动态加载条件下混凝土的塑性屈服面和极限面的变化规律来刻画材料的粘塑性响应。文中给出了动态粘塑性本构关系的详细阐述和有限元的实现方法。对于材料的不同拉压受力状态,本文使用两种不同的屈服准则—Druck-Prager准则和Mohr-Conlumb准则来描述材料进入屈服状态的力学性质,最后给出混凝土梁在三角载荷下的非线性有限元算例。

A rate and history dependent dynamic constitutive model for concrete under impact and seismic loading is established. The model follows the general viscoplastic theory of Perzyma and the development principle of plastic discontinuity surface introduced by Bicanic. The transformation disciplines of plastic yield surface and strength limit surface have been applied to describe the dynamic viscoplastic responses of material. Both the dynamic constitutive relations and the finite element realizations are expatiated in particular. In respect to clarify the different loading conditions, the rules of DruckPrager and MohrConlumb are used to depict the mechanical characteristics of concrete respectively. In conclusion, a numerical example, where the solution of a concrete beam under triangular impulsive loading is calculated, is given for validation. 