就在就在山峰应力开始的一个狭窄的乐队形式的种类本地化而言,为应力的三分析表情 - 种类伪弄弯易碎的 geomaterial (例如岩石和水泥) 在单轴的紧张,直接砍,单轴的压缩分别地被介绍。三个导出的压力 - 种类曲线作为一个统一公式被概括。在种类本地化的发作以外,为局部性的乐队的一种线性弄软紧张的组成的关系被分配。乐队的尺寸被内部或典型的长度根据坡度依赖者粘性控制。在全部标本以内的有弹性的紧张被假定随局部性的乐队的塑料紧张的增加一致、减少。标本的 Totalstrain 被分解成有弹性、塑料的部分。标本的塑料紧张是在在全部标本上的局部性的乐队的塑料紧张的平均价值。为不同高度,预言的弄软相对压力分叉 - 在单轴的压缩的紧张曲线与正常具体标本的以前试验性的结果一致。为山峰以后的压力的现在的表情 - 变丑在单轴的紧张弯并且指导听见基于坡度依赖者同意以前数字的结果粘性。
Considering strain localization in the form of a narrow band initiated just at peak stress, three analytical expressions for stress - strain curves of quasibrittle geomaterial (such as rock and concrete) in uniaxial tension, direct shear and uniaxial compression were presented, respectively. The three derived stress - strain curves were generalized as a unified formula. Beyond the onset of strain localization, a linear strain-softening constitutive relation for localized band was assigned. The size of the band was controlled by internal or characteristic length according to gradient-dependent plasticity. Elastic strain within the entire specimen was assumed to be uniform and decreased with the increase of plastic strain in localized band. Total strain of the specimen was decomposed into elastic and plastic parts. Plastic strain of the specimen was the average value of plastic strains in localized band over the entire specimen. For different heights, the predicted softening branches of the relative stress- strain curves in uniaxial compression are consistent with the previously experimental results for normal concrete specimens. The present expressions for the post-peak stress - deformation curves in uniaxial tension and direct shear agree with the previously numerical results based on gradient-dependent plasticity.