On the failure probability of one dimensional random material under delta external force
On the failure probability of one dimensional random material under delta external force
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一维随机材料在δ外力作用下的失效概率
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Xiaoping Zhou
中科院分区：
文献类型：
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作者：
Jingcheng Liu;Xiaoping Zhou
给出了弹性随机材料在一定外力和边界条件下的小失效概率的渐近分析。材料的位移用一维随机椭圆微分方程来描述。微分方程允许用高斯过程描述随机系数。失效的定义是材料的最大应变超过一定水平。我们推导出应变超过趋于无穷大的高水平b的概率的渐近近似。
We provide an asymptotic analysis of the small failure probabilities for a piece of elastic random material under a certain external force and boundary conditions. The displacement of the material is described by a one dimensional stochastic elliptic differential equation. The differential equation admits random coefficients described by a Gaussian process. Failure is defined as the event that the maximum strain of the material exceeds a certain level. We derive asymptotic approximations of the probability that the strain exceeds a high level b that tends to infinity.