TITLE

Probabilistic fracture mechanics by the boundary element method

AUTHOR(S)
Huang, X.; Aliabadi, M.
PUB. DATE
September 2011
SOURCE
International Journal of Fracture;Sep2011, Vol. 171 Issue 1, p51
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, a new boundary element formulation is presented for probabilistic analysis of crack problems in context of linear elastic fracture mechanics. The method involves an implicit differentiation method for calculating fracture response derivatives with respect to random parameters and applies first-order reliability method to predicting the reliability of cracked structures. Direct differentiation is used to obtain the derivatives of fracture parameters with respect to crack size which is required for probabilistic analysis. Numerical examples are presented to illustrate the proposed method. The accuracy of the proposed method is demonstrated by comparing with either analytical solution or other established method.
ACCESSION #
66440220

 

Related Articles

  • A non-singular boundary integral formula for frequency domain analysis of the dynamic T-stress. Phan, A.-V. // International Journal of Fracture;Jan2012, Vol. 173 Issue 1, p37 

    A non-singular 2-D boundary integral equation (BIE) in the Fourier-space frequency domain for determining the dynamic T-stress (DTS) is presented in this paper. This formulation, based upon the Fourier transform of the asymptotic expansion for the stress field in the vicinity of a crack tip, can...

  • Influence of vertical fracture on the stress-strain state of the flat sheet edge area under mining. Trofimov, V. // Journal of Mining Science;Jan2014, Vol. 50 Issue 1, p50 

    Under consideration is the stress-strain state in the edge area of a bed when mine faces approach a vertical fracture. The author illustrates the stress-strain state analysis using the previously derived analytical solution for a single pillar situated symmetrically in a mined-out void....

  • Three-dimensional dynamic stress analysis on a penny-shaped crack interacting with a suddenly transformed spherical inclusion. Xiao, Z. M.; Luo, J. // International Journal of Fracture;Sep2003, Vol. 123 Issue 1/2, p29 

    In this paper, the interaction between a penny-shaped crack and a near-by suddenly transformed spherical inclusion in 3-dimensional solid is investigated to assess the dynamic effect of the transformation. To simplify the solution procedure, the current problem is divided into two sub-problems...

  • Strength and reliability of piping systems. Krasovskii, A.; Orynyak, I. // Strength of Materials;Sep2010, Vol. 42 Issue 5, p613 

    nalytical and numerical methods have been developed for the solution of stress-strain and limit state problems of piping systems (in the case of the presence of flaws in them as well). The fracture strength of pipe steels during long-term service has been studied. A methodology and a software...

  • Reliability and Sensitivity Analysis of Dendriform Structure. Hui-jun, Li; Zheng-zhong, Wang; Zhan-chao, Li // International Journal of Space Structures;Jun2013, Vol. 28 Issue 2, p75 

    Reliability, sensitivity and correlation of dendriform structure are deeply investigated, respectively. Firstly, reliability of dendriform structures is carried out. Members in the dendriform structures are classified into four types according to their layouts. Wall thickness, external radius,...

  • An effective boundary element method for analysis of crack problems in a plane elastic plate. Xiang-qiao, Yan // Applied Mathematics & Mechanics;Jun2005, Vol. 26 Issue 6, p814 

    A simple and effective boundary element method for stress intensity factor calculation for crack problems in a plane elastic plate is presented. The boundary element method consists of the constant displacement discontinuity element presented by Crouch and Starfield and the crack-tip...

  • Boundary element analysis of structures with bridged interfacial cracks. Perelmuter, M. // Computational Mechanics;Apr2013, Vol. 51 Issue 4, p523 

    The direct boundary integral equations method has been applied to analyze stresses in a fracture process zone (a crack bridged zone) and to calculate stress intensity factors module for structures with bridged interfacial cracks under mechanical loading. Bridged zones at interfacial cracks are...

  • Multiple-crack analysis with the quasi-higher-order symmetric Galerkin boundary element method. Lie, S.-T.; Xu, K.; Cen, Z. // Journal of Strain Analysis for Engineering Design (Professional ;Mar2004, Vol. 39 Issue 2, p147 

    This paper describes the application of the symmetric Galerkin boundary element method (SGBEM) for the analysis of a two-dimensional linear elastic crack problem. The direct SGBEM for the multiple-crack problem is derived using the Betti reciprocal theorem, resulting in a completely symmetric...

  • Fracture Characteristics Analysis of Pressured Pipeline with Crack Using Boundary Element Method. Huang, Han-Sung // Advances in Materials Science & Engineering;4/9/2015, Vol. 2015, p1 

    Metal materials can inevitably show deteriorated properties by the factors of stress, temperature, and environmental erosion in distinct operating environments. Without proper protection, the service life would be shortened or even deadly danger would be caused. This study aims to apply Finite...

Share

Read the Article

Courtesy of NEW JERSEY STATE LIBRARY

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics