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Computational Mechanics
Erschienen in: Computational Mechanics 5/2019

03.01.2019 | Original Paper

A stochastic material point method for probabilistic dynamics and reliability

verfasst von: Weidong Chen, Yaqin Shi, Han Yan, Jingxin Ma, Yuzhuo Yang, Chunlong Xu

Erschienen in: Computational Mechanics | Ausgabe 5/2019

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Abstract

A stochastic material point method is proposed for reliability analysis of nonlinear structure subjected to explosions involving spatially varying random material properties. A random field representing material properties is discretized into a set of random variables with statistical properties of the random field. According to the failure criterion of nonlinear structure, the limit state function of a material point is established. The first-order reliability method is employed to predict the full probabilistic characteristics of material points. Besides, taking ship protection structure as an example, the failure mode of nonlinear structure is established and the model is implemented into the reliability analysis of ship protection structure subjected to underwater explosions. Numerical examples are presented to examine the accuracy and convergence of the stochastic material point method. Monte Carlo simulation is used as a validation tool, and good agreement is obtained between the results of the proposed method and Monte Carlo simulation.
Vorheriger Artikel Identification of fracture models based on phase field for crack propagation in heterogeneous lattices in a context of non-separated scales

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Metadaten
Titel
A stochastic material point method for probabilistic dynamics and reliability
verfasst von
Weidong Chen
Yaqin Shi
Han Yan
Jingxin Ma
Yuzhuo Yang
Chunlong Xu
Publikationsdatum
03.01.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 5/2019
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1667-5

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