journal article·1975-06Open access

Three-dimensional elastic stress and displacement analysis of finite geometry solids containing cracks

John P. Gyekenyesi, Alexander Mendelson

International Journal of Fracture· Volume 11· Issue 3

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Probabilistic and Robust Engineering Design

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (18)

Show source-provided references
1. Paul C. Paris and George C. Sih, Stress Analysis of Cracks. Fracture Toughness Testing and Its Applications, Spec. Tech. Publ. No. 381, ASTM (1965) 30–83.10.1520/STP26584S ↗
2. I. N., Sneddon, The Distribution of Stress in the Neighborhood of a Crack in an Elastic Solid, Proc. Roy. Soc. (London), Ser. A, 187, 1009 (1946) 229–260.
3. Frederick W. Smith, Stresses Near a Semi-Circular Edge Crack, Ph.D. Thesis, Univ. of Washington (1966).
4. M. K., Kassir and G. C., Sih, Three-Dimensional Stress Distribution Around an Elliptical Crack Under Arbitrary Loadings, J. Appl. Mech., 33 (1966) 601–611.10.1115/1.3625127 ↗
5. David J. Ayres, A Numerical Procedure for Calculating Stress and Deformation Near a Slit in a Three-Dimensional Elastic-Plastic Solid, NASA TM X-52440 (1968).
6. Olgierd C. Zienkiewicz, The Finite Element Method in Engineering Science, Second ed., McGraw-Hill Book Co., Inc. (1971).
7. T. A., Cruse and W.Van, Buren, Three-Dimensional Elastic Stress Analysis of a Fracture Specimen with an Edge Crack, Int. J. Fracture Mech., 7 (1971) 1–15.10.1007/BF00236479 ↗
8. R. J., Hartranft and G. C., Sih, The Use of Eigenfunction Expansions in the General Solution of Three-Dimensional Crack Problems, J. Math. Mech., 19, 2 (1969) 123–138.
9. John P. Gyekenyesi, Solution of Some Mixed Boundary Value Problems of Three-Dimensional Elasticity by the Method of Lines, Ph.D. Thesis, Michigan State Univ., (1972).
10. John P. Gyekenyesi, A. Mendelson and Jon Kring, Three-Dimensional Elastic Stress and Displacement Analysis of Tensile Fracture Specimens Containing Cracks, NASA TN D-7213 (1973).
11. John P. Gyekenyesi, A. Mendelson and Jon Kring, Three-Dimensional Elastic Stress and Displacement Analysis of Finite Circular Geometry Solids Containing Cracks, NASA TN D-7266 (1973).
12. V. N., Faddeva, The Method of Lines Applied to Some Boundary Problems, Trudy Mat. Inst. Steklov., 28 (1949) 73–103.
13. Makoto Irobe, Method of Numerical Analysis for Three-Dimensional Elastic Problems, Proceedings of the 16th Japan National Congress for Applied Mechanics, Central Scientific Publ. (1968) 1–7.
14. R. A. Frazer, W. J. Duncan and A. R. Collar, Elementary Matrices and Some Applications to Dynamics and Differential Equations, Cambridge University Press (1938).
15. I. N., Sneddon, The Distribution of Stress in the Neighborhood of a Crack in an Elastic Solid, Proc. Roy. Soc. (London), Ser. A, 187, 1009 (1946) 229–260.
16. I. N., Sneddon and J. T., Welch, A Note on the Distribution of Stress in a Cylinder Containing a Penny-Shaped Crack, Int. J. Eng. Sci., 1 (1963) 411–419.10.1016/0020-7225(63)90017-X ↗
17. W. F. Brown Jr. and J. E. Srawley, Plane Strain Crack Toughness Testing of High Strength Metallic Materials, Spec. Tech. Publ. No. 410, ASTM (1967).
18. A. Mendelson, B. Gross and John E. Srawley, Evaluation of the Use of a Singularity Element in Finite-Element Analysis of Center-Cracked Plates, NASA TN D-6703 (1972).