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Longitudinal Fracture of Inhomogeneous Viscoelastic Beams Subjected to Combined Time-Dependent Loading: A Parametric Study

Year 2025, Volume: 34, 182 - 194

Abstract

A parametric study of longitudinal fracture in continuously inhomogeneous viscoelastic beam structures subjected to combined time-dependent loadings is described in this paper. The beams are under angle of twist and vertical displacement which change continuously with time. Beams with different cross-sections (T-shape, I-shape, trapezium, and rightangled triangle) are considered in order to assess the influence of the beam cross-section on the longitudinal fracture. The viscoelastic behaviour under bending and torsion is treated by using time-dependent modulus of elasticity and shear modulus, respectively. A viscoelastic mechanical model with two springs and a dashpot under time-dependent strains is used in order to derive the time-dependent moduli. These moduli are applied when obtaining solution of the strain energy release rate. The compliances of the beam configuration under time-dependent angle of twist and vertical displacement are analyzed in order to derive the strain energy release rate for verification. The parametric study is carried-out by using the solution of the strain energy release rate.

References

  • Rizov, V. (2025). Longitudinal fracture of inhomogeneous viscoelastic beams subjected to combined time-dependent loading: A parametric study. The Eurasia Proceedings of Science, Technology, Engineering and Mathematics (EPSTEM), 34, 182-194.
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Details

Primary Language English
Subjects Classical Physics (Other)
Journal Section Articles
Authors

Victor Rizov

Early Pub Date August 1, 2025
Publication Date
Submission Date March 1, 2025
Acceptance Date April 9, 2025
Published in Issue Year 2025Volume: 34

Cite

APA Rizov, V. (2025). Longitudinal Fracture of Inhomogeneous Viscoelastic Beams Subjected to Combined Time-Dependent Loading: A Parametric Study. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 34, 182-194.