Abstract
It is shown that a simple tensile load produces a simple extension provided the empirical inequalities (Truesdell and Noll [1], eqn. 51.27) hold.
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References
Truesdell, C. and W. Noll,The Non-Linear Field Theories of Mechanics, Handbuch der Physik III/3, Berlin-Heidelberg-New York, Springer 1965.
Truesdell, C. and T. A. Toupin,The Classical Field Theories, Handbuch der Physik III/1, Berlin-Heidelberg-New York, Springer 1960.
Truesdell, C., The Mechanical Foundations of Elasticity and Fluid dynamics,J. Rational Mech. Anal., 1 (1952) 125–300; Corrections and additions,ibid, 2. (1953) 593–616 and 3 (1954) 801. Reprint containing these and further corrections, with a new preface and appendices (1962), published asContinuum Mechanics I. New York, Gordon and Breach 1966.
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Batra, R.C. Deformation produced by a simple tensile load in an isotropic elastic body. J Elasticity 6, 109–111 (1976). https://doi.org/10.1007/BF00135183
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DOI: https://doi.org/10.1007/BF00135183