A hybrid analytical-numerical solution for 3D notched plates

被引:5
作者
Ju, S. H. [1 ]
机构
[1] Natl Cheng Kung Univ, Dept Civil Engn, Tainan 70101, Taiwan
关键词
Anisotropic material; Finite elements; Fracture mechanisms; Notch; Stress intensity factors; Three-dimensional; STRESS INTENSITY FACTORS; SHARP NOTCHES; FINITE THICKNESS; SINGULARITIES; DOMAINS; FIELDS; CORNER; STATE;
D O I
10.1016/j.ijsolstr.2014.08.004
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This study used a hybrid analytical and numerical method to analyze three-dimensional (3D) elastic bodies with sharp-V notches. The proposed method separates the 3D equilibrium equation into primary and shadow parts, where the solution of the primary part is the analytical solution under the generalized plane-strain theory, and the shadow part is solved numerically using a weak form based on the finite element theory. A least-squares method is then used to find the multiplication factors of these primary and shadow modes using 3D finite element results. Numerical simulations indicate that the proposed method can accurately simulate the singularities near a sharp V-notch. The major advantage of this method is that a 3D whole displacement field with the singular effect based on the theoretical solution near the notch can be obtained for anisotropic materials under arbitrary loads. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4113 / 4121
页数:9
相关论文
共 26 条
[1]  
BAZANT ZP, 1977, FRACTURE 1977, V3, P371
[2]   On a coupled mode at sharp notches subjected to anti-plane loading [J].
Berto, Filippo ;
Kotousov, Andrei ;
Lazzarin, Paolo ;
Pegorin, Fabio .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2013, 38 :70-78
[3]   Three-dimensional asymptotic stress field in the vicinity of an adhesively bonded scarf joint interface [J].
Chaudhuri, Reaz A. ;
Chiu, Sou-Hsiung Jack .
COMPOSITE STRUCTURES, 2009, 89 (03) :475-483
[4]   A quasi-dual function method for extracting edge stress intensity functions [J].
Costabel, M ;
Dauge, M ;
Yosibash, Z .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2004, 35 (05) :1177-1202
[5]  
Flannery B., 1986, Numerical Recipes
[6]   An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals [J].
Gao, Xiao-Wei .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (45-48) :2856-2864
[7]   Three-dimensional analyses of stress singularities at the vertex of a piezoelectric wedge [J].
Huang, C. S. ;
Hu, C. N. .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (06) :4517-4537
[8]   Corner stress singularities in a high-order plate theory [J].
Huang, CS .
COMPUTERS & STRUCTURES, 2004, 82 (20-21) :1657-1669
[9]   Finite element calculation of stress intensity factors for interface notches [J].
Ju, S. H. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (33-36) :2273-2280
[10]  
Ju S.H., 1997, NSC862213E006063