Longitudinal Fracture of Inhomogeneous Viscoelastic Beams Subjected to Combined Time-Dependent Loading: A Parametric Study
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.
Keywords
Cross-section shape Continuously inhomogeneous beam Longitudinal fracture Viscoelastic behavior
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.
Details
| Primary Language | English |
|---|---|
| Subjects | Classical Physics (Other) |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | August 1, 2025 |
| Publication Date | August 1, 2025 |
| Submission Date | March 1, 2025 |
| Acceptance Date | April 9, 2025 |
| Published in Issue | Year 2025 Volume: 34 |
