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On the Plasticity Conditions of an Isotropic Body

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Theory of Elasticity and Plasticity

Abstract

It is known that solid bodies remain elastic to specific limits when loaded. These limits define the moment when plastic strains occur. Conditions satisfied by stresses at this moment are usually called plasticity conditions. Here we consider plasticity conditions that have been widely proved by experiments. This chapter also describes methods and means of elastic–plastic tests of materials.

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Notes

  1. 1.

    Condition (14.10) is also called the Coulomb–Tresca condition; it can be expressed also through stress deviator invariants.

References

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Molotnikov, V., Molotnikova, A. (2021). On the Plasticity Conditions of an Isotropic Body. In: Theory of Elasticity and Plasticity. Springer, Cham. https://doi.org/10.1007/978-3-030-66622-4_14

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  • DOI: https://doi.org/10.1007/978-3-030-66622-4_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-66621-7

  • Online ISBN: 978-3-030-66622-4

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