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A stochastic scaled boundary finite element method

机译：随机标度边界有限元方法

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摘要

By extending the existing scaled boundary finite element method (SBFEM) into the random field problem, a stochastic scaled boundary finite element method (SSBFEM) is developed in this paper to predict the structural responses with randomly distributed material properties. The analyzed domain is discretized into a number of polygons modeled as sub-domains of the SBFEM so that the non-homogeneous material properties are possible to be considered in establishment of the constitutive equation. The random field represented by the Karhunen-Loeve (KL) expansion is then directly incorporated into both the equilibrium equation of the SBFEM and its sensitivity analysis formulation. The perturbation method is employed to calculate the statistical moments of the structural responses and a semi-analytical sensitivity analysis method is used to efficiently calculate the gradients involved. Particularly, the proposed method is successfully applied to the stochastic fracture analysis with spatially varying random material properties. Four numerical examples are investigated to demonstrate the validity of the proposed method. (C) 2016 Elsevier B.V. All rights reserved.
机译：通过将现有的比例边界有限元方法（SBFEM）扩展到随机场问题中，本文开发了一种随机比例边界有限元方法（SSBFEM）来预测具有随机分布材料特性的结构响应。将被分析的区域离散化为多个建模为SBFEM子域的多边形，以便在建立本构方程时可以考虑非均匀材料特性。然后，将由Karhunen-Loeve（KL）展开表示的随机场直接合并到SBFEM的平衡方程及其灵敏度分析公式中。摄动法用于计算结构响应的统计矩，半解析灵敏度分析法用于有效地计算所涉及的梯度。特别地，所提出的方法成功地应用于具有随机变化的材料性质的随机断裂分析。研究了四个数值例子，以证明该方法的有效性。 （C）2016 Elsevier B.V.保留所有权利。

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  • 作者

    Long X. Y.; Jiang C.; Yang C.; Han X.; Gao W.; Liu J.;

  • 作者单位

    Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China;

    Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China;

    Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China;

    Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China;

    Univ New S Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia;

    Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Stochastic scaled boundary finite element method; Random field; Perturbation method; Sensitivity analysis; Stochastic fracture mechanics;

    机译：随机标度边界有限元法;随机场;摄动法;灵敏度分析;随机断裂力学;

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