Non-linear Viscoelastic Beams Under Periodic Strains: An Approach for Analyzing of Longitudinal Fracture

Abstract

This work describes a longitudinal fracture analysis of beam structure of circular cross-section under periodic strains. The material whose properties vary in radial direction has non-linear viscoelastic behaviour. The beam is loaded in torsion so that the twist angle represents a periodical function. Time-dependent behaviour under periodic strains is dealt with a model having a non-linear spring and a linear dashpot. The complementary strain energy in the beam is considered to determine the strain energy release rate. The balance of energy is examined to verify the strain energy release rate. The ascendency of various parameters over strain energy release rate is assessed.

Keywords

• Non-linear viscoelastic beam
• Longitudinal fracture
• Periodic strain

References

1. Dias, C. M. R., Savastano, Jr. H., & John, V. M. (2010). Exploring the potential of functionally graded materials concept for the development of fiber cement. Construction and Building Materials, 24, 140-146.
2. Fanani, E.W.A., Surojo, E., Prabowo, A. R., & Akbar, H. I. (2021). Recent progress in hybrid aluminum composite: Manufacturing and application. Metals, 11, 1919-1929.
3. Gandra, J., Miranda, R., Vilaca, P., Velhinho, A., & Teixeira, J.P. (2011). Functionally graded materials produced by friction stir processing. Journal of Materials Processing Technology, 211, 1659-1668.
4. Gururaja U., Shrikantha Rao S., & Rao Gangadharan, K. (2014). Functionally graded composite materials: An overview. Procedia Materals Science, 5, 1291-1299.