损伤对钢筋混凝土板非线性静动力响应的影响  

Effect of Damage upon the Nonlinear Static and Dynamic Responses of Reinforced Concrete Plates on Elastic Foundation

作　　者：傅衣铭[1] 鲁永红[1] 

机构地区：[1]湖南大学工程力学系,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2005年第3期61-65,共5页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10272042)

摘　　要：基于不可逆热力学原理,导出了一般各向异性弹脆性材料的损伤本构关系及损伤演化方程,根据VonKarman板理论,建立了双参数弹性地基上钢筋混凝土板的非线性动力控制方程.应用有限差分法和Newmavk β法将未知函数离散,然后对方程进行迭代求解.计算结果显示,损伤对结构的非线性静、动力响应有很大的影响.<Abstrcat>Based on the irreversible thermodynamic theory, the constitutive relationship of the damaged anisotropic elastic-brittle materials and the corresponding damage evolution equations were derived. According to the Von Karman's plate theory, the nonlinear dynamic governing equations of the reinforced concrete plates on the two-parameter foundation were founded. By using the Finite Difference Method and Newmavk-β scheme, the unknown functions were separated, and all the equations were iterated to seek solutions. Calculation results showed that the effect of damage on the nonlinear static and dynamic responses of structures was significant.

关 键 词：损伤 钢筋混凝土 双参数地基模型 非线性分析 

分 类 号：O346.5[理学—固体力学]