Abstract
Two different complex loading paths are investigated in stress space — longitudinal tension with subsequent total unloading and reloading in transverse tension or compression. For these loading paths the local strains theory [4] is used to determine the values of the components of the strain vector Э{Э1, Э2} in five-dimensional space for nonlinearities n=3 and n=5 together with the components of the stress vector S{S1, S2}. A relation between the vectors Э and S is established in terms of the given loading parameter k.
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Literature cited
A. F. Kregers and I. V. Knets, Mekhan. Polim., No. 1, 29 (1967).
V. Ya. Sausin', Mekhan. Polim., No. 4, 597 (1969).
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A. A. Il'yushin and V. S. Lenskii, Strength of Materials [in Russian], Moscow (1965).
Additional information
Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 2, pp. 241–245, March–April, 1970.
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Sausin', V.Y. Relation between the vectors Э and S for a plastic material with a sequence of ray-like loading paths. Polymer Mechanics 6, 216–219 (1970). https://doi.org/10.1007/BF00859192
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DOI: https://doi.org/10.1007/BF00859192