电邮这篇文章 Tensor nonlinear viscoelastic models by maxwell-type: vibrocreep and ratcheting
- 作者: Georgievskii D.V.1,2,3
-
隶属关系:
- Lomonosov Moscow State University
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Moscow Center of Fundamental and Applied Mathematics
- 期: 编号 3 (2024)
- 页面: 03–11
- 栏目: Articles
- URL: https://journals.rcsi.science/1026-3519/article/view/273689
- DOI: https://doi.org/10.31857/S1026351924030017
- EDN: https://elibrary.ru/uikyfm
- ID: 273689
如何引用文章
开放存取
##reader.subscriptionAccessGranted##
订阅存取
详细
Some effects of the stress-strain state, such as vibrocreep, creep acceleration and ratcheting, observed and studied in experimental mechanics of a deformable solid, are proposed to be modeled on the basis of constitutive relations implemented in tensor nonlinear viscoelastic Maxwell-type models. The apparatus of isotropic tensor functions depending on two symmetric tensor arguments is involved. Examples of a complex stress state in a tubular specimen are given, when there is a significant disproportionate increase in time of the axial component of strain under the combined action of constant axial and vibrational shear loads compared with the case of the action of only axial load. The concepts of generalized and combined ratcheting are introduced in conditions of a complex stress state.
作者简介
D. Georgievskii
Lomonosov Moscow State University; Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow Center of Fundamental and Applied Mathematics
编辑信件的主要联系方式.
Email: georgiev@mech.math.msu.su
俄罗斯联邦, Moscow; Moscow; Moscow
参考
- Ilyushin A.A., Pobedria B.E. Foundations of mathematical theory of thermoviscoelasticity. Moscow: Nauka, 1970. (In Russian)
- Lokhim V.V., Sedov L.I. Nonlinear tensor functions of several tensor variables // Journal of Applied Math. and Mech. 1963. V. 27. № 3. P. 597–629.
- Spencer A.J.M. Continuum Physics. V. 1. Part III. Theory of Invariants. N.-Y. London, 1971. P. 239–353.
- Astarita G., Marruci G. Principles of Non-Newtonian Fluid Mechanics. Maidenhead, UK: McGraw-Hill Book, 1974.
- Pukhnachev V.V. Mathematical model of an incompressible viscoelastic Maxwell medium // Journal of Applied Mech. And Technical Phys . 2010. V. 51. № 4. P. 546–554.
- Georgievskii D.V. On potential isotropic tensor functions of two tensor arguments in mechanics of solids // Mechnaics of Solids. 2010. V. 45. № 3. P. 493–496.
- Agakhi K.A., Georgievskii D.V. Tensor nonlinear constitutive relations of the isotropic theory of creep with tensor measure of damage // Proc. Tula State Univ. Ser. Natural sciences. 2013. № 2 (2). P. 10–16. (In Russian)
- Georgievskii D.V. Nonlinear tensor functions of two arguments and some “orthogonal effects” of the stress-strain state // Mechnaics of Solids. 2020. V. 55. № 5. P. 619–623.
- Vasin R.A., Georgievskii D.V., Chistyakov P.V. Trends and possible approaches to mathematical modeling of ratcheting // Elasticity and unelasticity. Moscow: Moscow State Univ. Press, 2021. P. 38–47. (In Russian)
- Lokoshchenko A.M. Vibrocreep of metals in uniaxial and complex stress states // Mechnaics of Solids. 2014. V. 49. № 4. P. 453–460.
- Lokoshchenko A.M., Shesterilov S.A. On vibrocreep // Engineering J. 1966. № 3. P. 141–143. (In Russian)
- Samarin A.P. Equations of state of materials with complex rheological properties. Kuybyshev: Kuybyshev Univ. Press, 1979. (In Russian)
- Anisimov A.B. The effect of “creep acceleration” in the theory of viscoelasticity // Moscow Univ. Mechanics Bull. 2007. V. 62. № 1. P. 21–24.
- Pobedria B.E. Mathematical theory of nonlinear viscoelasticity // Elasticity and unelasticity. Moscow: Moscow State Univ. Press, 1973. V. 3. P. 95–173. (In Russian)
- Vasin R.A., Bylya O.I., Chistyakov P.V. Some trends in ratcheting research // Moscow Univ. Mechanics Bull. 2021. V. 76. № 2. P. 61–4.
补充文件
