Details

Autor(en) / Beteiligte

• Maslov, Borys
• Nazarenko, Vladimir M
• Bogdanov, Viacheslav
• Altenbach, Holm
• Guz, Aleksander N
• Guz, Aleksander N.
• Nazarenko, Vladimir M.

Titel

Nonlinear Hereditary Creep of Transversely Isotropic Composites of Random Structure

Ist Teil von

• Advances in Mechanics, 2023, Vol.191, p.367-390

Ort / Verlag

Switzerland: Springer

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• A nonlinear hereditary creep problem of the composites of random structure is solved within the framework of a second-order nonlinear theory. The hereditary functionals are used to construct the general constitutive relations of the complex stress state. Schapery’s correspondence principle is generalized for the quasi-linear viscoelastic media as applied to hereditary creep problems. A solution to the stochastic boundary problem of determining the stress concentration and stress relaxation in the metal matrix composite (MMC) is obtained. The successive approximation method is used to obtain the full system of the viscoelastic equations of the second order. The creep functions, which are averaged locally in the case of the viscoelastic matrix and elastic inclusions, are found. Also, the stress concentration parameters are determined. The given examples show the importance of the mutual influence of nonlinear elastic and viscous properties of the composite components on the stress redistribution near the inclusions in the MMC. A practical result is a possibility of predicting the long-term strength when the field of viscoelastic stresses is known as the result of computer modeling in the neighborhood of inclusions.