Theory of plasticity and creep taking account of microstrains.

*(English. Russian original)*Zbl 0626.73023
J. Appl. Math. Mech. 50, 690-696 (1986); translation from Prikl. Mat. Mekh. 50, 890-897 (1986).

A relationship between the theories of plasticity and creep of the type shown e.g. (*) by the first two authors, ibid. 32, 908-922 (1968; Zbl 0182.590) and theories based on the concept of slip is set up. A most logical structure is proposed for the constitutive equations of the theory which is convenient for engineering calculations. It has been shown that the theory of slip results from the theories (*). However, it remains unclear whether a deeper connection exists between these theories. Moreover, the connection between creep theories constructed using the approach (*) and creep theories based on the slip concept was not generally examined. A survey of the development of polycrystalline strain theory yields a complete representation of the state of matters in plasticity and creep theories.

##### MSC:

74C99 | Plastic materials, materials of stress-rate and internal-variable type |

74A60 | Micromechanical theories |

74M25 | Micromechanics of solids |

##### Keywords:

polycrystalline strain theory
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\textit{Yu. I. Kadashevich} et al., J. Appl. Math. Mech. 50, 690--696 (1986; Zbl 0626.73023); translation from Prikl. Mat. Mekh. 50, 890--897 (1986)

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##### References:

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