随机介质热弹性平面轴对称问题的解析解  

Analytical solutions to thermoelastic plane axisymmetric problems for random non-homogeneous media

作　　者：康健[1] 赵阳升[2] 赵峥嵘[1] 张大海[1] 

机构地区：[1]大连轻工业学院信息科学与工程学院,大连116034 [2]太原理工大学采矿研究所,太原030024

出　　处：《岩土力学》2006年第10期1689-1692,共4页Rock and Soil Mechanics

摘　　要：针对随机介质热弹性平面轴对称问题,在随机韦泊分布和指数分布两随机分布下提出了一种解决随机概率分布用连续函数表示的方法,得到了平面应力和平面应变轴对称问题的解析解。通过算例,讨论了热应力随分布参数m的变化规律,结果表明非均质热应力与均质热应力之间的差别很大,而在指数分布下这些差异很小。Aiming at the random non-homogeneous media thermoelastic axisymmetric problem, and under the random Weibull and exponential distributions, a new method to solving the random probability distribution using the expression of continuous function is provided; and the analytical solutions are attained in the plane strain and plane stress model. The numerical experiment, discussing the change rule of thermal stress random distribution parameter m, indicates that there is distinct difference between non-homogeneous media themal stress and homogeneous media thermal stress in Weibull, but little difference in exponential distribution.

关 键 词：随机介质 随机分布 轴对称 热应力 解析解 

分 类 号：TU452[建筑科学—岩土工程]