Towards the solution of creep problems of thin-shelled tubular elements in isotropic nonlinear viscoelastic materials
A new approach to the creep strains analysis of thin-shelled tubular elements in isotropic nonlinear viscoelastic materials under combined loading with uniaxial tension and torsion has been proposed. The system of equations that is constructed according to the deviators proportionality hypothesis has been chosen as the creep constitutive equations the nonlinearity of viscoelastic properties in which is given with respect to the creep strain intensity and volumetric strain by the Rabotnov type models. The kernels of creep strain intensity and volumetric strain are given by the relations that establish the relationships between these kernels and one-dimensional creep kernels determined from a system of base experiments. One-dimensional tension with the measurement of longitudinal and transverse strains as well as one-dimensional tension and pure torsion with the measurement of longitudinal and shearing strains have been considered as base experiments. The functions of nonlinearity of viscoelastic properties are given by smoothing cubic splines. The problems of the analysis of longitudinal, transverse and shearing strains of thin-shelled tubular specimens made of “high density polyethylene PEHD” have been solved and experimentally approved.
Key words: nonlinear viscoelastisity, biaxial stress state, creep process.
Pages of the article in the issue: 42-45
Language of the article: Ukrainian
KOLTUNOV, A. (1969) Metod opredelenija objemnyh i sdvigovyh harakteristik uprugovjazkih nasledstvennyh sred po experimentam na odnoosnoe rastjazhenie (szhatie). Mehanіka polimerov. 4. рр. 754-758.
GOLUB, V.P., MASLOV, B.P., FERNATI, P.V. (2016) Identifikacija jader nasledstvennosti izotropnyh linejno-vjazkouprugih materialov pri slozhnom naprjazhennom sostojanii. 1. Superpozicija sdvigovoj i objemnoj polzuchesti. Prikl. Mehanika. 52 (2). рр. 78-90.
GOLUB, V.P., MASLOV, B.P., FERNATI, P.V. (2016) Identifikacija jader nasledstvennosti izotropnyh linejno-vjazkouprugih materialov pri slozhnom naprjazhennom sostojanii. 2. Sluchaj proporcional’nosti deviatorov. Prikl. Mehanika. 52 (6). рр. 111-125.
KREGERS, A.F., KILEVICH, M.R. (1985) Kompleksnoe issledovanie polietilena vysokoj plotnosti v uslovijah nelinejnoj polzuchesti i relaksacii naprjazhenij. Mechanika compozitnych materialov. 2. pp. 195-201.
How to Cite
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).