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Hoek-Brown强度准则在岩石及岩体工程中得到了广泛的应用,而目前基于该准则建立起的弹塑性本构模型在理论上还存在着一些不足;考虑到不同围压条件下的岩石材料塑性形变发展特征,提出了基于分段隐式修正塑性势的塑性流动法则,解决了其它基于广义H-B准则所建立的本构模型中塑性流动方向不连续及需额外引入参数等问题;采用基于误差控制的改进欧拉中点积分算法,对该本构模型进行了数值实现并给出了单积分点层次的结果验证;进一步将成果嵌入到了同济曙光岩土工程三维数值平台(Geo FBA3D)当中,并给出了一类经典弹塑性力学问题的计算结果验证以及其在隧道工程中的典型应用算例。
The Hoek-Brown strength criterion has been widely used in rock and rock mass engineering. However, there are still some deficiencies in the theory of elastic-plastic constitutive model based on this criterion. Considering that the rock materials under different confining pressures The plastic flow rule based on piecewise implicit correction of plastic potential is proposed and other problems such as discontinuity of plastic flow direction and additional introduction of parameters in the constitutive model established based on generalized HB criterion are solved. Control of the Euler midpoint integration algorithm, the constitutive model was implemented numerically and the result of single-point integration was verified. The results were further embedded into the Geo FBA3D of Tongji Shuguang Geotechnical Engineering. The computational results of a class of classical elasto-plastic mechanics problems are also given. Finally, a typical application example in tunnel engineering is given.