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Formulas for risk of failure

机译:失败风险的公式

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摘要

The concept of stress strength inference plays an important role in modeling problems with respect to engineering fracture mechanics, see, e.g. [1-21]. The risk of failure of a system can be expressed by the probability R = Pr{X_2 < X_1), where X_1 and X_2 are some random variables representing the stress and the strength experienced by the system. In this note, we derive a comprehensive collection of formulas for R by assuming the most commonly known models for X_1 and X_2. We feel that this work could serve as a useful reference for engineering fracture mechanics.
机译:应力强度推断的概念在有关工程断裂力学的建模问题中起着重要作用,例如参见[1-21]。系统发生故障的风险可以用概率R = Pr {X_2

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