剪力墙结构弹塑性分析的QR法Ⅰ——位移函数及本构模型

基于QR法的基本原理和主要优点,建立了一套新的适用于剪力墙结构分析的位移函数,其中x方向采用新构造的3次B样条基函数,y方向则首次采用一般幂级数代替板条函数、正交函数等作为基函数;根据剪力墙的受力特点选择了适当的材料本构关系、屈服准则等;按照弹塑性力学基本原理,基于W.F.Chen模型,推导出了材料应力—应变关系的显式表达,为QR法和剪力墙结构弹塑性分析的结合奠定了较为完备的理论基础。

QR method for elasto-plastic analysis of shear walls Ⅰ——displacement function and constitutive model

Based on the principles and merits of QR method,the new spline basic function is deduced for x direction.Combining it with power series instead of slab function or orthogonal function for y direction,a new displacement function is worked out for analysis of shear walls;the RC material's constitutive relations and yield criterions are determined exactly according to the stress properties of shear walls;basing on the fundamentals of elasto-plastic mechanics,the paper worked out the explicit expression of stress-strain(relationship) for W.F.Chen model.The adequate theory is ready for the introducing of QR method to elasto-plastic analysis of(shear) walls.