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

来源：

INTERNATIONAL JOURNAL OF FRACTURE | 2002年 / 117卷 / 02期

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

页码：143 / 157

页数：15

共 22 条

[1]

[Anonymous], 1997, PARAMETRIC VARIATION

[2]

Barsoum R. S., 1976, International Journal for Numerical Methods in Engineering, V10, P25, DOI 10.1002/nme.1620100103

[3] Effective stress intensity factor and contact stress for a partially closed Griffith crack in bending [J].

Beghini, M ;

Bertini, L .

ENGINEERING FRACTURE MECHANICS, 1996, 54 (05) :667-678

[4] OVERLAPPING PROBLEM IN CRACK ANALYSIS [J].

BOWIE, OL ;

FREESE, CE .

ENGINEERING FRACTURE MECHANICS, 1976, 8 (02) :373-379

[5] FINITE ELEMENT METHOD FOR CONTACT PROBLEMS OF SOLID BODIES .1. THEORY AND VALIDATION [J].

CHAN, SK ;

TUBA, IS .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1971, 13 (07) :615-&

[6] Frictional contact analysis of multiple cracks by incremental displacement and resultant traction boundary integral equations [J].

Chen, TC ;

Chen, WH .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1998, 21 (04) :339-348

[7]

COMMINU M, 1979, ENG FRACT MECH, V12, P117

[8] CRACK SURFACE-CONTACT OF SURFACE AND INTERNAL CRACKS IN A PLATE WITH RESIDUAL-STRESSES [J].

CORDES, RD ;

JOSEPH, PF .

INTERNATIONAL JOURNAL OF FRACTURE, 1994, 66 (01) :1-17

[9]

Fredriksson B., 1976, Computers and Structures, V6, P281, DOI 10.1016/0045-7949(76)90003-1

[10] A MATHEMATICAL-PROGRAMMING APPROACH TO 3-DIMENSIONAL CONTACT PROBLEMS WITH FRICTION [J].

KLARBRING, A .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 58 (02) :175-200

← 1 2 3 →