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Generalized Characteristics of the Physical-Mechanical State of Materials

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Strength of Materials Aims and scope

To substantiate the criteria and arguments for the equations of limit states of materials, the invariants of their thermomechanical states are analyzed. The relationship between mechanical and macro- and microphysical characteristics of materials is shown based on the dimensionality theory’s provisions. In particular, the mechanical state is related to the modulus of elasticity (the second derivative of the energy of atomic vibrations) or heat capacity and the coefficient of thermal expansion, temperature to the coefficients of thermal influence, time to the frequency of atomic vibrations, defects to the modulus of elasticity, density and free path length of the phonon, wear to the coefficients of thermal conductivity and diffusion, etc. The physical meaning of the invariants was established, which made it possible to determine the conditions of similarity of deformation of different materials. A method for predicting the dependence of mechanical characteristics on temperature based on the choice of thermodynamically similar analog materials is proposed. The effectiveness of using thermomechanical invariants in analyzing and generalizing experimental results is shown. Practical examples of the development of reliable and correct equations of fluid and limit states under static and cyclic loading, as well as in the presence of various inclusions in the material, are given. A single parametric fatigue equation was obtained for different steels and alloys, which allows for predicting the parameters of the equation for a specific similar material based on a single experiment. For a material with an inclusion, generalized dependences of stresses in the vicinity of the inclusion on the ratio of atomic volumes were established.

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Authors and Affiliations

  1. Pisarenko Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    B. S. Karpinos

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  1. B. S. Karpinos
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Correspondence to B. S. Karpinos.

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Translated from Problemy Mitsnosti, No. 2, pp. 90 – 107, March – April, 2023.

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Karpinos, B.S. Generalized Characteristics of the Physical-Mechanical State of Materials. Strength Mater 55, 309–325 (2023). https://doi.org/10.1007/s11223-023-00526-3

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