References
Allen, M., & J.A. Ellis, Stress and Strain Distribution in the Vicinity of Interference Fit Fasteners. Tech. Report, AFFDL-TR-72–153, Jan. 1973.
Brezis, H., Multiplicateur de Lagrange en torsion élasto-plastique. Arch. Rational Mech. Anal. 49, 32–40 (1972).
Brombolich, L.J., Elastic-Plastic Analysis of Stresses Near Fastener Holes, MDC A1769, June 1972; Elastic-Plastic Analysis of Stress Near Fastener Holes, McAir-73-002, Jan. 1973.
Coddington, E.A., & N. Levinson, Theory of Ordinary Differential Equation, New York: McGraw-Hill 1955.
Duvaut, G., & J.L. Lions, Les Inéquations en Mécanique et en Physique. Paris: Dunod 1972.
Fichera, G., Existence Theorems in Elasticity, Handbuch der Physik, VI a/2, pp. 347–389. Berlin Heidelberg New York: Springer 1972.
Grandt, A.F., A General Stress Intensity Factor Solution for Fastener Holes. AFML/LLP-73-7, June 1973.
Grandt, A.F., & J.P. Gallagher, Developing an Infinite Life Design Procedure for Fastener Holes Utilizing Fracture Mechanics. AFML/LLP-72-3, Sept. 1972.
Griffs, C.A., Finite Element Analysis of Notched Tensile Specimen in Plane Stress. NRL Report 7278, Sept. 1971.
Harries, H.G., I.U. Ojalvo & R.E. Hooson, Stress and Deflection Analysis of Mechanically Fastened Joints. AFDL-TR-70-49, May 1970.
Hoffman, O., Stress in Infinite Sheet due to Expansion of a Cylindrical Hole. Research Report, Lockheed-Georgia, Jan. 1972.
Koiter, W.T., General Theorems for Elastic-Plastic Solids, Progress in Solid Mechanics, Vol. 1, pp. 165–221. Amsterdam: North-Holland 1960
Lanchon, H., Torsion Élasto-Plastique d'un arbre Cylindrique de Section Simplement ou Multiplement Connexe. Thesis, Université Paris VI, 1972.
Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity, 4th Ed. Cambridge Univ. Press, 1934.
Luenberger, D.G., Optimization by Vector Space Methods, p. 149. New York: John Wiley & Sons 1969.
Nadai, A., Theory of Flow and Fracture of Solids, Chap. 33. New York: McGraw-Hill 1950.
Prager, W., & P.G. Hodge, Jr., Theory of Perfectly Plastic Solids, Chap. 4. New York: John Wiley & Sons 1951.
Petrovski, I.G., Ordinary Differential Equations, pp. 61–65. Englewood, N.J.: Prentice Hall 1966.
Rockafellar, R.T., Convex Analysis. Princeton, N.J.: Princeton University Press 1970.
Siegel, A.E., Stress Patterns in a Sheet Containing an Interference Fastener, McAir, 231-4-359, Dec. 1966; Residual Stress Produced by Mandrel Hole Enlargement, McAir 237-33, May 1969.
Tiffany, C.F., T.K. Stewart & T.K. Moore, Fatigue and Stress-Corrosion Test of Selected Fastener/Hole Process. ASD-TR-72-111, Jan. 1973.
Ting, T.W., Elastic-plastic torsion of simply connected cylindrical bars. Indiana Univ. Math. J. 20, 1047–1076 (1971).
Ting, T.W., Torsional rigidities of solid bars under elastic-plastic torsion. Pacific J. Math. 46, 257–267 (1973).
Ting, T.W., Torsional rigidities of bars under fully plastic torsion. Siam J. Appl. Math. 25, 54–68 (1973).
Ting, T.W., St. Venant's compatibility conditions. Tensor, N.S. 28, 5–12 (1974).
Truesdell, C., & W. Noll, The Non-Linear Field Theories of Mechanics, Handbuch der Physik, III/3. Berlin Heidelberg New York: Springer 1965.
Yamada, Y., N. Yoshimura & T. Sakurai, Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method. Int. J. Mech. Sci. 10, 343–354 (1968).
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Potter, R.M., Ting, T.W. The problem of forced fittings. Arch. Rational Mech. Anal. 58, 77–94 (1975). https://doi.org/10.1007/BF00280155
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DOI: https://doi.org/10.1007/BF00280155