Access the full text.
Sign up today, get DeepDyve free for 14 days.
Yuzhou Sun, Shufeng Yang, Yin-bang Wang (2003)
A new formulation of boundary element method for cracked anisotropic bodies under anti-plane shearComputer Methods in Applied Mechanics and Engineering, 192
X. Zhang (1987)
The general solution of an edge crack off the center line of a rectangular sheet for mode IIIEngineering Fracture Mechanics, 31
J. Jiroušek, A. Zieliński (1997)
Survey of Trefftz-type element formulationsComputers & Structures, 63
O. Zienkiewicz, R. Taylor, J. Zhu, Elsevier Bl, Ttfrworth Hhintalann (1977)
The finite element method
T. Broadbent, Solomon Mikhlin, T. Boddington (1965)
Variational Methods in Mathematical PhysicsPhysics Today, 18
V. Leitão (1998)
Applications of multi-region Trefftz-collocation to fracture mechanicsEngineering Analysis With Boundary Elements, 22
T.E. Trefftz (1926)
Ein Gegenstück zum Ritzschen Verfahren. In: Proceedings 2nd International Congress of Applied mechanicsProceedings 2nd International Congress of Applied mechanics
M. Isida (1970)
Analysis of stress intensity factors for plates containing a random array of cracksBull JSME, 13
J. Jirousek (1996)
Survey of Trefftz-type element formulations. In: First International Workshop on Trefftz Method—Recent Development and Perspectives. Cracow University of TechnologyFirst International Workshop on Trefftz Method—Recent Development and Perspectives
(1926)
Ein Gegenstück zum Ritzschen Verfahren
M. Isida (1970)
Analysis of Stress Intensity Factors for Plates Containing Random Array of CracksJsme International Journal Series B-fluids and Thermal Engineering, 13
Q. Qin, VD Radulescu (2000)
The Trefftz Finite and Boundary Element Method
J. Jiroušek, P. Teodorescu (1982)
Large finite elements method for the solution of problems in the theory of elasticityComputers & Structures, 15
Akshay Venkatesh, J. Jiroušek (1995)
Accurate representation of local effects due to concentrated and discontinuous loads in hybrid-Trefftz plate bending elementsComputers & Structures, 57
O.C. Zienkiewicz (1996)
Trefftz type of approximation and the finite element method—history and development. In: First International Workshop on Trefftz Method—Recent Development and Perspectives. Cracow University of TechnologyFirst International Workshop on Trefftz Method—Recent Development and Perspectives
S. Silling (1986)
Singularities and Phase Transitions in Elastic Solids: Numerical Studies and Stability Analysis
D. Rooke, D. Cartwright (1978)
The compendium of stress intensity factorsInternational Journal of Fracture, 14
V.D. Kupradze (1979)
Three Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity. North Holland
R. Piltner (1995)
Recent developments in the Trefftz method for finite element and boundary element applicationsAdvances in Engineering Software, 24
(2006)
Discussion on anti-plane crack problems by hybrid Trefftz finite element approach
S. Huang, R. Shaw (1995)
The Trefftz method as an integral equationAdvances in Engineering Software, 24
J. Jiroušek, Akshay Venkatesh (1992)
Hybrid trefftz plane elasticity elements with p ‐method capabilitiesInternational Journal for Numerical Methods in Engineering, 35
C. Horgan, S. Silling (1987)
Stress concentration factors in finite anti-plane shear: numerical calculations and analytical estimatesJournal of Elasticity, 18
G. Sih (1973)
Handbook of stress-intensity factors : stress-intensity factor solutions and formulas for reference
C.G. Sih (1973)
Handbook of Stress Intensity Factors
(1987)
Boundary Element Method for Regions with Thin Interal Cavities
J. Domingues, A. Portela, P. Castro (1999)
Trefftz boundary element method applied to fracture mechanicsEngineering Fracture Mechanics, 64
A. Portela, A. Charafi (1997)
Programming Trefftz boundary elementsAdvances in Engineering Software, 28
J. Freitas, Z.-Y. Ji (1996)
HYBRID‐TREFFTZ EQUILIBRIUM MODEL FOR CRACK PROBLEMSInternational Journal for Numerical Methods in Engineering, 39
(2006)
Application of HT finite element approach on mode I, II and III complex problems
R. Piltner (1985)
Special finite elements with holes and internal cracksInternational Journal for Numerical Methods in Engineering, 21
A. Portela, M. Aliabadi, D. Rooke (1992)
The dual boundary element method: Effective implementation for crack problemsInternational Journal for Numerical Methods in Engineering, 33
V. Kupradze, T. Gegelia, M. Basheleishvili, T. Burchuladze, E. Sternberg (1980)
Three-Dimensional Problems of the Mathematical Theory of Elasticity and ThermoelasticityJournal of Applied Mechanics, 47
A. Zieliński, O. Zienkiewicz (1985)
Generalized finite element analysis with T-complete boundary solution functionsInternational Journal for Numerical Methods in Engineering, 21
Abstract This paper presents a hybrid Trefftz (HT) boundary element method (BEM) by using two indirect techniques for mode III fracture problems. Two Trefftz complete functions of Laplace equation for normal elements and a special purpose Trefftz function for crack elements are proposed in deriving the Galerkin and the collocation techniques of HT BEM. Then two auxiliary functions are introduced to improve the accuracy of the displacement field near the crack tips, and stress intensity factor (SIF) is evaluated by local crack elements as well. Furthermore, numerical examples are given, including comparisons of the present results with the analytical solution and the other numerical methods, to demonstrate the efficiency for different boundary conditions and to illustrate the convergence influenced by several parameters. It shows that HT BEM by using the Galerkin and the collocation techniques is effective for mode III fracture problems.
"Acta Mechanica Sinica" – Springer Journals
Published: Apr 1, 2007
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.