爆炸载荷作用下混凝土板的塑性动力响应

Plastic dynamic response of concrete plate subjected to explosion loading

采用能量守恒原理,对假设四边为固定约束的地下浅埋混凝土方板,忽略材料的弹性变形能,同时考虑土—结构的接触界面上两种介质相互作用对界面压应力分布的影响,在非接触爆炸载荷作用下的塑性大变形响应进行了理论分析,运用Lagrange方程,建立板的运动响应微分方程,得到固支混凝土方板塑性大变形的理论计算公式.结果表明:理论计算与试验及程序分析结果吻合较好,表明该方法可应用于地下混凝土板类结构在非接触爆炸载荷作用下的毁伤或人防结构的工程预测.

The theoretical analysis about the plastic large deformation response of the reinforced concrete square plates which are buried shallowly with four constrained boundaries subjected to non-contact explosion loading are conducted adopting the principle of the energy conservation. Synchronously ignoring the energy of the elastic deformation and considering the influence due to the reciprocity of the two media on the interface of the earth-structure on the distributing of the compressive stress above the interface, the motion differential equation is founded adopting Lagrange equation, and the theoretical calculating formula of plastic large deformation is derived. Besides it is validated with some examples, and the calculating data comply well with the experimental and programmable results. The results show that this method can be applied to the engineering prediction to the damage or civil defence structural engineering of the underground concrete plates structure subjected to the non-contact explosion loading.