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首页> 外文会议>International conference on applications of statistics and probability;ICASP8 >Parametric study of the reliability of a cracked pipe using non-linear finite element analysis
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Parametric study of the reliability of a cracked pipe using non-linear finite element analysis

机译：基于非线性有限元分析的裂管可靠性参数化研究

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Reliability analyses of structural components aim at estimating the probability that the external loading exceeds the structures resistance. In some industrial cases, the failure of the structure cannot be defined by an explicit function of the random variables and only an implicit definition of the limit state function is available. It is the case when finite element calculations are used. This paper deals with the calculation of the failure probability of an axisymmetrically cracked pipe under pressure and tension using a finite element code with incremental non linear plasticity. The failure criteria corresponds to the crack initiation that is to say when the Rice's integral reaches the material fracture toughness. Six random variables are considered: the crack size, the material frature toughness and the parameters describing the material stress strain curve (the Young's modulus, the yield strength, the strain hardening exponent and the Ramberg-Osgood coefficient alpha). The different reliability codes and finite element codes combined using different methods (Direct method and quadratic response surface method) give very similar results on this problem.
机译：结构部件的可靠性分析旨在估计外部载荷超过结构阻力的概率。在某些工业情况下，无法通过随机变量的显式函数定义结构的故障，并且只能使用极限状态函数的隐式定义。使用有限元计算时就是这种情况。本文使用具有增量非线性可塑性的有限元代码来计算轴对称裂纹管在压力和张力下的失效概率。破坏准则对应于裂纹萌生，也就是说，当莱斯的积分达到材料的断裂韧性时。考虑六个随机变量：裂纹尺寸，材料韧性和描述材料应力应变曲线的参数（杨氏模量，屈服强度，应变硬化指数和Ramberg-Osgood系数α）。使用不同方法（直接方法和二次响应面方法）组合的不同可靠性代码和有限元代码在此问题上得出的结果非常相似。

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