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首页> 外文期刊>Theoretical and Applied Fracture Mechanics >Constitutive relationship of brittle rock subjected to dynamic uniaxial tensile loads with microcrack interaction effects
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Constitutive relationship of brittle rock subjected to dynamic uniaxial tensile loads with microcrack interaction effects

机译：脆性岩石在动态单轴拉力作用下的本构关系及微裂纹相互作用

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摘要

A micromechanical model is proposed to describe both stable and unstable damage evolution in microcrack-weakened brittle rock material subjected to dynamic uniaxial tensile loads. The basic idea of the present model is to classify the constitution relationship of rock material subjected to dynamic uniaxial tensile loads into four stages including some of the stages of linear elasticity, pre-peak nonlinear hardening, rapid stress drop, and strain softening, and to investigate their corresponding micromechanical damage mechanisms individually. Special attention is paid to the transition from structure rearrangements on microscale to the macroscopic inelastic strain, to the transition from distribution damage to localization of damage and the transition from homogeneous deformation to localization of deformation. The influence of all microcracks; with different sizes and orientations are introduced into the constitutive relation by using the statistical average method. Effects of microcrack interaction on the complete stress-strain relation as well as the localization of damage for microcrack-weakened brittle rock material are analyzed by using effective medium method. Each microcrack is assumed to be embedded in an approximate effective medium that is weakened by uniformly distributed microcracks of the statistically-averaged length depending on the actual damage state. The elastic moduli of the approximate effective medium can be determined by using the dilute distribution method. Micromechanical kinetic equations for stable and unstable growth characterizing the 'process domains' of active microcracks are taken into account. These 'process domains' together with 'open microcrack domains' completely determine the integration domains of ensemble averaged constitutive equations relating macro-strain and macro-stress. Theoretical predictions have shown to consistent with the experimental results.
机译：提出了一种微力学模型来描述承受动态单轴拉伸载荷的微裂纹弱化脆性岩石材料中稳定和不稳定的损伤演化。本模型的基本思想是将承受动态单轴拉伸载荷的岩石材料的构成关系分为四个阶段，包括线性弹性，峰前非线性硬化，快速应力下降和应变软化的一些阶段，以及分别研究其相应的微机械损伤机理。特别注意从微观结构重新排列到宏观非弹性应变的转变，从分布破坏到破坏局部的转变，以及从均匀变形到变形局部的转变。所有微裂纹的影响;通过统计平均法将尺寸和方向不同的本构关系引入本构关系。利用有效介质法分析了微裂纹相互作用对完整的应力-应变关系以及微裂纹弱化脆性岩石材料损伤局部化的影响。假定每个微裂纹都嵌入一个近似有效的介质中，该介质会因实际损坏状态而被统计平均长度的均匀分布的微裂纹所削弱。近似有效介质的弹性模量可以通过使用稀分布法来确定。考虑了稳定和不稳定生长的微机械动力学方程，该方程表征了活性微裂纹的“过程域”。这些“过程域”与“开放微裂纹域”一起完全确定了涉及宏观应变和宏观应力的整体平均本构方程的积分域。理论预测已表明与实验结果一致。

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