基于D-P损伤本构模型的修正优化

CORRECTION OPTIMIZATION ON DAMAGE CONSTITUTIVE MODEL BASED ON D-P CRITERION

目前,基于D-P(Drucker-Prager)准则的岩石损伤本构模型在研究岩石损伤本构领域已经占据主导地位,其优越性日渐突出。主要以D-P准则的岩石损伤本构方程为基础进行分析,发现其在某些地方存在很大误差。在问题分析的众多因素中,发现泊松比是造成误差极其重要的因素。根据实验数据结果分析,发现岩石类材料的泊松比是一个不稳定值。由于泊松比用于D-P准则的损伤本构方程的全程,首次提出了类泊松比μ*(quasi-poisson’ratio)的概念,导出类泊松比的计算公式,并引入D-P准则的岩石损伤本构模型进行验证,证明在岩石中引入类泊松比的损伤本构模型更加符合实际。修正后的新模型对于软件数值分析和应用有新的突破,类泊松比概念的提出也将引起岩石力学在众多方面的改进,对岩石力学的发展有重要意义。

Currently,the damage constitutive model based on D-P（Drucker-Prager） criterion of rock has occupied dominant position in the field of damage constitutive model of rock.its advantages have become increasingly prominent.This paper mainly analyzes the results of the experimental data based on Drucker-Prager Criterion and finds some fatal errors.Poisson＇ratio is key factor in it.Poisson＇ratio of rock is variable value from the experimental observation.Since the Poisson＇s ratio is used in the full damage constitutive model,We propose a new conception of＂quasi-poisson＇ratio＂,derived the formula of quasiPoisson＇s ratio and introduce it to the constitutive model of rock based on Drucker-Prager Criterion in order to revise it.The new modified model is a new breakthrough for numerical analysis and software application.We believe the conception of ＂QuasiPoisson＇Ratio＂will lead to many aspects of the improvements in rock mechanics and has long-term meanings.