Numerical simulations of cracked plate using XIGA under different loads and boundary conditions

被引：35

作者：

Bhardwaj, G. ^{[1
]}

Singh, I. V. ^{[1
]}

Mishra, B. K. ^{[1
]}

Kumar, Virender ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Mech & Ind Engn, Roorkee 247667, Uttarakhand, India

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2016年 / 23卷 / 06期

关键词：

plate; first-order shear deformation theory; extended isogeometric analysis (XIGA); crack; stress intensity factor; STRESS INTENSITY FACTORS; ISOGEOMETRIC ANALYSIS; VIBRATION ANALYSIS; FINITE-ELEMENTS; MESHFREE MODEL; SHEAR-LOCKING; GROWTH; COMPUTATION; NURBS;

D O I：

10.1080/15376494.2015.1029159

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article deals with the numerical simulation of cracked plate using extended isogeometric analysis (XIGA) under different loads and boundary conditions. The plate formulation is done using first-order shear deformation theory. The crack faces are modeled by the Heaviside function, whereas the singularity in stress field at the crack tip is modeled by crack tip enrichment functions. The stress intensity factors for the cracked plate are numerically computed using a domain-based interaction integral. The results obtained by XIGA for the center and edge crack plate are compared with extended finite element method and/or literature results for different types of loads and boundary conditions.

引用

页码：704 / 714

页数：11

共 36 条

[1] Non-linear analysis of shells with arbitrary evolving cracks using XFEM [J].

Areias, PMA ;

Belytschko, T .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 62 (03) :384-415

[2] A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].

Atluri, SN ;

Zhu, T .

COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127

[3]

Belytschko T, 1999, INT J NUMER METH ENG, V45, P601, DOI 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO

[4]

2-S

[5] ELEMENT-FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256

[6] A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM [J].

Benson, D. J. ;

Bazilevs, Y. ;

De Luycker, E. ;

Hsu, M. -C. ;

Scott, M. ;

Hughes, T. J. R. ;

Belytschko, T. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 83 (06) :765-785

[7] Fatigue crack growth analysis of a homogeneous plate in the presence of multiple defects using extended isogeometric analysis [J].

Bhardwaj, G. ;

Singh, I. V. .

JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2015, 37 (04) :1065-1082

[8] Stochastic fatigue crack growth simulation of interfacial crack in bi-layered FGMs using XIGA [J].

Bhardwaj, G. ;

Singh, I. V. ;

Mishra, B. K. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 284 :186-229

[9] Buckling analysis of Reissner-Mindlin plates subjected to in-plane edge loads using a shear-locking-free and meshfree method [J].

Bui, T. Q. ;

Nguyen, M. N. ;

Zhang, Ch. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2011, 35 (09) :1038-1053

[10]

Cottrell J.A., 2009, Isogeometric Analysis: Towards Unification of Computer Aided Design and Finite Element Analysis

← 1 2 3 4 →