粘弹塑性损伤时变力学在岩土工程施工分析中的应用

以损伤时变体为研究对象,将时变力学与损伤力学耦联,给出粘弹塑性损伤时变力学理论基本方程和数值计算公式。通过对某地下煤层开采过程的计算机仿真分析,探讨形状时变引起的粘弹塑性时变体损伤场和位移场的时空演化过程,并研究单煤层单向开采和对挖开采方式的路径相关性问题。研究表明,应用损伤时变理论分析,可得到力学状态连续演化过程,为施工分析与预测提供科学的有效手段;不同施工路径,力学状态中间演化过程和最终结果均有较大差别,非线性(包括损伤)材料施工产生的最终力学状态与路径相关这一现象普遍存在,这对工程分析与学术研究具有一定应用与理论价值。

TIME-VARYING DAMAGE MECHANICS THEORY OF VISCO-ELASTIC-PLASTIC MODEL AND ITS APPLICATION IN ROCK ENGINEERING CONSTRUCTION

This paper is concerned with the time-varying body whose shape varies with time. By combining time-varying mechanics and damage theory, basic equations and numerical equations of visco-elastic-plastic time-varying damage mechanics are given. By computer simulation of mining process of one underground coal bed, dynamic evolution of damage field and surface subsidence due to shape varying is obtained. The spatial displacement evolution of time-varying body is analyzed quantitatively and the path correlation characteristic is studied. By time-varying damage analysis, continuous evolution of damage and displacements is obtained. Different construction path will cause different final property state, which is called the phenomenon of “path correlation”. It is found that the ultimate state of construction is generally related to construction path in nonlinear material widely, which is of applied and theoretical value in engineering analysis and academic research.