The method of analysis of crack problem in three-dimensional non-local elasticity

被引:0
作者
Minghao Z. [1 ]
Changjun C. [2 ]
Yuanjie L. [1 ]
Guoning L. [1 ]
Shishan Z. [1 ]
机构
[1] Zhengzhou Research Institute of Mechanical Engineering
[2] Shanghai Institute of Applied Mathematics and Mechanics, Department of Mechanics, Shanghai University
基金
中国国家自然科学基金;
关键词
Boundaryintegral equation method; Fracture mechanics; Non-local elasticity;
D O I
10.1007/BF02463742
中图分类号
学科分类号
摘要
In this paper, the displacement discontinuity fundamental solution (DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional (3D) non-local elasticity under symmetrical condition is obtained. Based on the displacement discontinuity boundary integralequation (DDBIE) and boundary-element method (DDBEM) of local (classical) elasticity, a method of analysis of crack in 3D non-local elasticity with wide application is proposed with the DDFS. Through the method, several important problems of fracture mechanics are analysed.
引用
收藏
页码:469 / 475
页数:6
相关论文
共 50 条
[31]   Surface effects on static bending of nanowires based on non-local elasticity theory [J].
Quan Wu ;
Alex A.Volinsky ;
Lijie Qiao ;
Yanjing Su .
Progress in Natural Science:Materials International, 2015, 25 (05) :520-524
[32]   The mechanically based non-local elasticity: an overview of main results and future challenges [J].
Di Paola, Mario ;
Failla, Giuseppe ;
Pirrotta, Antonina ;
Sofi, Alba ;
Zingales, Massimiliano .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 371 (1993)
[33]   A fast hierarchical dual boundary element method for three-dimensional elastodynamic crack problems [J].
Benedetti, I. ;
Aliabadi, M. H. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 84 (09) :1038-1067
[34]   Surface effects on static bending of nanowires based on non-local elasticity theory [J].
Wu, Quan ;
Volinsky, Alex A. ;
Qiao, Lijie ;
Su, Yanjing .
PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL, 2015, 25 (05) :520-524
[35]   Three-dimensional closed-form solution to elliptical crack problem in magneto-electro-elasticity: Electrically and magnetically induced Maxwell stress boundary condition [J].
Wu, Tai-Hong ;
Li, Xiang-Yu ;
Chen, Xiao-Han .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2020, 202 (202) :729-744
[36]   Evaluating diversion effectiveness in a non-local elasticity based PKN fracturing model [J].
Luo, Bo ;
Wong, George K. .
ENGINEERING FRACTURE MECHANICS, 2025, 319
[37]   Three-dimensional simulation of fretting crack nucleation and growth [J].
Carter, B. J. ;
Schenck, E. C. ;
Wawrzynek, P. A. ;
Ingraffea, A. R. ;
Barlow, K. W. .
ENGINEERING FRACTURE MECHANICS, 2012, 96 :447-460
[38]   On three-dimensional nonlocal elasticity: Free vibration of rectangular nanoplate [J].
Shahrbabaki, Ehsan Abdollahzadeh .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2018, 71 :122-133
[39]   Influence of out-of-plane defects on vibration analysis of graphene: Molecular Dynamics and Non-local Elasticity approaches [J].
Jalali, S. K. ;
Jomehzadeh, E. ;
Pugno, N. M. .
SUPERLATTICES AND MICROSTRUCTURES, 2016, 91 :331-344
[40]   Modelling non-local elasticity in 1D vibrating rods using Corrected Smoothed Particle Hydrodynamics method [J].
Deptulski, Rafael C. ;
Dymitrowska, Magdalena ;
Kondo, Djimedo .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2022, 91