Scaled boundary finite element method for calculating the J-integral based on LEFM

被引：3
|
作者：
Yazdani, Mahdi [1 ]
Yavari, Ali [1 ]
机构：
[1] Arak Univ, Fac Engn, Dept Civil Engn, Arak, Iran
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2024年 / 31卷 / 16期
关键词：
Scaled boundary finite element method (SBFEM); linear elastic fracture mechanics (LEFM); J-Integral; two-dimensional (2D) problems; rectangular contour; path-independent integrals; FRACTURE-MECHANICS PROBLEMS; TIP ASYMPTOTIC FIELDS; PROPAGATION; COEFFICIENTS; COMPOSITE; PRIMER;
D O I：
10.1080/15376494.2023.2185707
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The present study develops the scaled boundary finite element method (SBFEM) to derive the J-integral directly based on defining the rectangular contour. To achieve this, firstly the J-integral is calculated for each element with different path integrals of radial direction in an arbitrary subdomain. Then, the computed values of elements are summed in the entire domain. Finally, to validate and displaying the efficiency of the SBFEM solution, three two-dimensional (2D) numerical examples are solved for different integration paths. The results indicate path-independent property and fast convergency of this semi-analytical method in the term of J-integral computation.
引用
收藏
页码：3817 / 3828
页数：12
相关论文
共 50 条
  • [21] A study of the convergence of the scaled boundary finite element method
    Deeks, AJ
    Costello, C
    MECHANICS OF STRUCTURES AND MATERIALS, 1999, : 35 - 40
  • [22] Advantages of the J-integral approach for calculating stress intensity factors when using the commercial finite element software ABAQUS
    Courtin, S
    Gardin, C
    Bézine, G
    Hamouda, HB
    ENGINEERING FRACTURE MECHANICS, 2005, 72 (14) : 2174 - 2185
  • [23] Investigation of the J-integral and SIFs by block-based Galerkin free element method
    Xu, Bing-Bing
    Gao, Xiao-Wei
    Feng, Wei-Zhe
    Cui, Miao
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2020, 109
  • [24] Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics
    Chidgzey, S. R.
    Trevelyan, J.
    Deeks, A. J.
    COMPUTERS & STRUCTURES, 2008, 86 (11-12) : 1198 - 1203
  • [25] CALCULATION OF THE J-INTEGRAL FOR 3D CRACK PROBLEMS USING THE BOUNDARY-ELEMENT METHOD
    HUBER, O
    KUHN, G
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1994, 74 (04): : T182 - T184
  • [26] An adaptive polytree approach to the scaled boundary boundary finite element method
    Aladurthi, L. N. Pramod
    Kamdi, Krishna
    Nguyen-Xuan Hung
    Natarajan, S.
    INTERNATIONAL JOURNAL OF ADVANCES IN ENGINEERING SCIENCES AND APPLIED MATHEMATICS, 2020, 12 (3-4) : 171 - 182
  • [27] USE OF J-INTEGRAL IN DYNAMIC ANALYSIS OF CRACKED LINEAR VISCOELASTIC SOLIDS BY FINITE-ELEMENT METHOD
    KISHIMOTO, K
    AOKI, S
    SAKATA, M
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1982, 49 (01): : 75 - 80
  • [28] An adaptive polytree approach to the scaled boundary boundary finite element method
    L. N. Pramod Aladurthi
    Krishna Kamdi
    Nguyen-Xuan Hung
    S. Natarajan
    International Journal of Advances in Engineering Sciences and Applied Mathematics, 2020, 12 : 171 - 182
  • [29] A Hamiltonian-based derivation of scaled boundary finite element method for elasticity
    Hu, Zhi-Qiang
    Lin, Gao
    Wang, Yi
    Liu, Jun
    Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2011, 28 (04): : 510 - 516
  • [30] Finite element calculation of applied J-integral for cracked ship structural details
    Xiao, DY
    Dexter, RJ
    ENGINEERING FRACTURE MECHANICS, 1998, 60 (01) : 59 - 82
12345