Session: 01-09-01: Peridynamics and Its Applications

Paper Number: 109763

109763 - Non-Ordinary State-Based Viscoelastic Peridynamic Model 

Non-Ordinary State-Based Viscoelastic Peridynamic Model

Yakubu Kasimu Galadima¹, Selda Oterkus², Erkan Oterkus³, Islam Amin^4,5, Abdel-Hameed El-Aassar⁶ and Hosam Shawky⁷

¹University of Strathclyde, Glasgow, UK, e-mail: yakubu.galadima@strath.ac.uk

²University of Strathclyde, Glasgow, UK, e-mail: selda.oterkus@strath.ac.uk

³University of Strathclyde, Glasgow, UK, e-mail: erkan.oterkus@strath.ac.uk

⁴University of Strathclyde, Glasgow, UK, e-mail: i.amin@strath.ac.uk

⁵Port Said University, Port Said, Egypt, e-mail: islam-amin@psu.edu.eg

⁶Desert Research Center, Cairo, Egypt, e-mail: amelaassar@edrc.gov.eg

⁷Desert Research Center, Cairo, Egypt, e-mail: shawkydrc@hotmail.com

As a new continuum mechanics formulation, there has been a significant progress on peridynamics [1-3] especially during recent years. Peridynamics is a powerful technique for damage prediction in materials and structures so that different damage mechanisms such as crack initiation, crack propagation, crack branching, fragmentation, corrosion damage, hydrogen embrittlement, etc. can be accurately predicted. There are various peridynamic formulations currently available such as bond based peridynamics and state-based peridynamics. State-based peridynamic formulations have been widely used since they overcome limitations of bond-based peridynamics. Specifically, non-ordinary state-based peridynamics provides the opportunity to directly incorporate classical material models in peridynamic framework. In this presentation, the incorporation of classical viscoelastic material models in peridynamic framework will be presented and several numerical results will be shown to demonstrate the capability of the developed approach.

References

[1] Silling, S.A., 2000. Reformulation of elasticity theory for discontinuities and long-range forces. Journal of the Mechanics and Physics of Solids, 48(1), pp.175-209.

[2] Madenci, E. and Oterkus, E., 2014. Peridynamic theory and its applications. Springer, New York, NY.

[3] Oterkus, E., Oterkus, S. and Madenci, E. eds., 2021. Peridynamic modeling, numerical techniques, and applications. Elsevier.

Presenting Author: Erkan Oterkus University of Strathclyde

Presenting Author Biography: Prof. Erkan Oterkus is a professor in the department of Naval Architecture, Ocean and Marine Engineering of University of Strathclyde. He is also the director of PeriDynamics Research Centre (PDRC) and the director of Ocean Energy Research Unit (OERU). He received his PhD from University of Arizona, USA and was a researcher at NASA Langley Research Center, USA before joining University of Strathclyde. His research is mainly focused on computational mechanics of materials and structures by using some of the state-of-the-art techniques including peridynamics and inverse finite element method.

Authors:

Yakubu Kasimu Galadima University of Strathclyde
Selda Oterkus University of Strathclyde
Erkan Oterkus University of Strathclyde
Islam Amin University of Strathclyde
Abdel-Hameed El-Aassar Desert Research Center
Hosam Shawky Desert Research Center