摘要
从内时理论出发,通过内蕴时间的重新构造,在Helmholtz自由能中引入损伤变量,利用连续介质不可逆热力学的基本原理推导出了含瓦斯煤岩的内时损伤本构方程,并给出了确定本构模型中各参数的方法。同时,对在三轴应力条件下所建立的本构方程进行了求解分析与试验验证。结果表明,该本构方程能很好地描述含瓦斯煤岩在损伤发生前后的变形特点,并能有效地反映含瓦斯煤岩的非线性和剪胀扩容等物理力学现象。
Starting from the endochronic theory, by rebuilding intrinsic time and introducing a damage variable into the Helmholtz free energy, a new set of endochronic damage constitutive equations of coal containing gas are deduced using the basic principles of the irreversible thermodynamics of continuum media; and what's more the method for getting parameters of the constitutive model is also presented. At the same time, solution analysis and experimental validation of the equations of coal containing gas under triaxial stress condition are performed. The results show that the endochronic damage constitutive equations can describe faithfully the properties of coal containing gas before and after damage and also can reflect effectively the nonlinear and shear expansion mechanical phenomena of coal containing gas.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2009年第4期885-889,共5页
Rock and Soil Mechanics
基金
国家自然科学基金资助项目(No.50874124)
国家重点基础研究发展计划(973计划)资助项目(No.2005CB221502)
国家自然科学基金重点资助项目(No.50534080)
重庆市自然科学基金计划重点项目(No.CSTC
2008BA6028)。
关键词
含瓦斯煤岩
内时理论
本构模型
损伤
coal containing gas
endochronic theory
constitutive model
damage