Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. Thompson (1974)
Face element theory—IInternational Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 11
R. Benjumea, D. L. Sikarskie (1972)
On the solution of plane, orthotropic elasticity problems by an integral methodInt. J. Rock Mech. Min. Sci. & Geomech. Abstr., 39
A. E. Green, W. Zerna (1968)
Theoretical Elasticity
P. D. Hilton, G. C. Sih (1973)
Methods of Analysis and Solutions of Crack ProblemsProc. Cambridge Phil. Soc.
I. N. Sneddon, S. C. Das (1971)
The stress intensity factor at the tip of an edge crack, 9
W. Wilson (1973)
Finite element methods for elastic bodies containing cracks
A. M. Starfield, S. L. Crouch (1973)
New Horizons in Rock Mechanics
R. Rizzo, A. Vicario (1970)
A Finite Element Analysis of Laminated Anisotropic TubesJournal of Composite Materials, 4
M. Thompson (1974)
Face element theory—IJ. Appl. Mech., 11
R. D. Mindlin (1948)
Stress distribution around a hole near the edge of a plate under tensionInt. J. Engng. Sci., 5
H. Elliott, N. Mott (1948)
Three-dimensional stress distributions in hexagonal aeolotropic crystalsMathematical Proceedings of the Cambridge Philosophical Society, 44
D. Owen, A. Prakash (1974)
The finite element analysis of elasto-plastic materials by use of dislocation dipole systemsInternational Journal for Numerical Methods in Engineering, 8
D. S. Berry, T. W. Sales (1962)
An elastic treatment of ground movement due to mining. III. Three‐dimensional problem, transversely isotropic groundProc. Soc. Exp. Stress Anal., 10
G. C. Sih, H. Liebowitz (1968)
Fracture, an Advanced Treatise, 2
P. Hilton, G. Sih (1973)
Applications of the finite element method to the calculations of stress intensity factors
I. Sneddon, S. Das (1971)
The stress intensity factor at the tip of an edge crack in an elastic half-planeInternational Journal of Engineering Science, 9
L. Rongved, J. T. Frasier (1958)
Displacement discontinuity in the elastic half‐spaceJ. Mech. Phys. Solids, 25
F. Rizzo, D. Shippy (1970)
A Method for Stress Determination in Plane Anisotropic Elastic BodiesJournal of Composite Materials, 4
F. J. Rizzo (1967)
An integral equation approach to boundary value problems of classical elastostaticsJ. Appl. Mech., 25
S. L. Crouch, C. Fairhurst (1973)
Analysis of rock mass deformations due to excavations
M. Biot, D. Drucker (1965)
Mechanics of Incremental DeformationJournal of Applied Mechanics, 32
R. Benjumea, D. Sikarskie (1972)
On the Solution of Plane, Orthotropic Elasticity Problems by an Integral MethodJournal of Applied Mechanics, 39
W. K. Wilson (1973)
Methods of Analysis and Solutions of Crack ProblemsInt. J. num. Meth. Engng
C. E. Massonet (1965)
Stress Analysis—Recent Development in Numerical and Experimental MethodsQuart. Appl. Math.
H. Tada, P. C. Paris, G. R. Irwin (1973)
The Stress Analysis of Cracks HandbookJ. Composite Materials
F. Rizzo (1967)
An integral equation approach to boundary value problems of classical elastostaticsQuarterly of Applied Mathematics, 25
D. Berry, T. Sales (1962)
An elastic treatment of ground movement due to mining—III three dimensional problem, transversely isotropic groundJournal of The Mechanics and Physics of Solids, 10
This paper is concerned with the development of a numerical procedure for solving complex boundary value problems in plane elastostatics. This procedure—the displacement discontinuity method—consists simply of placing N displacement discontinuities of unknown magnitude along the boundaries of the region to be analyzed, then setting up and solving a system of algebraic equations to find the discontinuity values that produce prescribed boundary tractions or displacements. The displacement discontinuity method is in some respects similar to integral equation or ‘influence function’ techniques, and contrasts with finite difference and finite element procedures in that approximations are made only on the boundary contours, and not in the field. The method is illustrated by comparing computed results with the analytical solutions of two boundary value problems: a circular disc subjected to diametral compression, and a circular hole in an infinite plate under a uniaxial stress field. In both cases the numerical results are in excellent agreement with the exact solutions.
International Journal for Numerical Methods in Engineering – Wiley
Published: Jan 1, 1976
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.