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Relation between the vectors Э and S for a plastic material with a sequence of ray-like loading paths

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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

  1. A. F. Kregers and I. V. Knets, Mekhan. Polim., No. 1, 29 (1967).

  2. V. Ya. Sausin', Mekhan. Polim., No. 4, 597 (1969).

  3. V. Ya. Sausin', Mekhan. Polim., No. 6, 975 (1969).

  4. A. K. Malmeister, Mekhan. Polim., No. 4, 12 (1965).

  5. A. A. Il'yushin and V. S. Lenskii, Strength of Materials [in Russian], Moscow (1965).

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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

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