Parametric quadratic programming method for elastic contact fracture analysis

被引:14
作者
Su, RKL
Zhu, Y
Leung, AYT
机构
[1] Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China
[2] City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
关键词
quadratic programming; frictional contact; stress intensity factors; finite element method;
D O I
10.1023/A:1020925903552
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A solution procedure for elastic contact fracture mechanics has been proposed in this paper. The procedure is based on the quadratic programming and finite element method (FEM). In this paper, parametric quadratic programming method for two-dimensional contact mechanics analysis is applied to the crack problems involving the crack surfaces in frictional contact. Based on a linear complementary contact condition, the parametric variational principle and FEM, a linear complementary method is extended to analyze contact fracture mechanics. The near-tip fields are properly modeled in the analysis using special crack rip elements with quarter-point nodes. Stress intensity factor solutions are presented for some frictional contact fracture problems and are compared with known results where available.
引用
收藏
页码:143 / 157
页数:15
相关论文
共 50 条
[31]   Soft inequality constraints in gradient method and fast gradient method for quadratic programming [J].
Matija Perne ;
Samo Gerkšič ;
Boštjan Pregelj .
Optimization and Engineering, 2019, 20 :749-767
[32]   An Augmented Lagrangian Method for a Class of Inverse Quadratic Programming Problems [J].
Zhang, Jianzhong ;
Zhang, Liwei .
APPLIED MATHEMATICS AND OPTIMIZATION, 2010, 61 (01) :57-83
[33]   Simulation of superconducting tapes and coils with convex quadratic programming method [J].
Zhang, Yan ;
Song, Yuntao ;
Wang, Lei ;
Liu, Xufeng .
SUPERCONDUCTOR SCIENCE & TECHNOLOGY, 2015, 28 (08)
[34]   Source optimization method of lithography tools based on quadratic programming [J].
Yan, Guanyong ;
Li, Sikun ;
Wang, Xiangzhao .
Guangxue Xuebao/Acta Optica Sinica, 2014, 34 (10)
[35]   An Augmented Lagrangian Method for a Class of Inverse Quadratic Programming Problems [J].
Jianzhong Zhang ;
Liwei Zhang .
Applied Mathematics and Optimization, 2010, 61
[36]   A sequential method for a class of box constrained quadratic programming problems [J].
Cambini, Riccardo ;
Sodini, Claudio .
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2008, 67 (02) :223-243
[37]   Soft inequality constraints in gradient method and fast gradient method for quadratic programming [J].
Perne, Matija ;
Gerksic, Samo ;
Pregelj, Bostjan .
OPTIMIZATION AND ENGINEERING, 2019, 20 (03) :749-767
[38]   Elastic plastic dynamic fracture analysis for stationary curved cracks [J].
Khan, Debashis ;
Bhushan, A. ;
Panda, S. K. ;
Biswas, K. .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2013, 73 :55-64
[39]   ON NITSCHE'S METHOD FOR ELASTIC CONTACT PROBLEMS [J].
Gustafsson, Tom ;
Stenberg, Rolf ;
Videman, Juha .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 42 (02) :B425-B446
[40]   Contact pressure analysis at multi-contact on elastic bodies [J].
Siminiati, D .
STROJARSTVO, 2000, 42 (5-6) :231-242