Multi-scale modelling of ice-structure interactions

Student thesis: Doctoral Thesis

Abstract

The present investigation has been devoted to the modeling of the ice-structure interactions by using the state-of-the-art technique, peridynamics. Peridynamics is a new continuum mechanics formulation originally developed at Sandia National Laboratories, USA and very suitable for failure analysis of structures due to its mathematical structure. Structures can vary from thin-walled structures such as ship hulls or airplane fuselage to bridges and wind-turbines. Furthermore by using peridynamics structural failure can be observed as compressive, tensile, bending or buckling failure and materials can be classified as elastic, viscoelastic or plastic.Peridynamic equation is in integro-differential equation form rather than a partial differential equation as in the classical continuum mechanics which allows the continuous usage of these equations without specially treating the discontinuities. Although relatively new, it is successfully verified and utilized for modelling both metallic and composite structures. Hence, it is an excellent candidate to investigate complex problems such as the ice-structure interaction modelling. Furthermore, in a general sense, it may bring a new dimension to the analysis of marine structures especially in the area of arctic engineering.Furthermore, peridynamic solver was developed including 2D and 3D geometry definitions together with peridynamic mesh. Several different solvers were implemented, such as explicit solver, adaptive dynamic relaxation and direct solver. In order to reduce the computational time, several family search algorithms (such as brute-force search, region partitioning algorithm, K-d tree and R-tree algorithms) were tested and implemented together with parallelization of most time consuming parts of code. Finally, several numerical studies were considered in order to demonstrate ice-structure interaction via peridynamic analysis.Where those numerical studies range from 2D and 3D Bond Based peridynamic models used for analysis of ice splitting loads for in-plane failure and impact analysis between cylindrical (offshore structures) and conical (ship's bow) rigid bodies and ice sheet. Furthermore advanced peridynamic model for Mindlin plate resting on Winkler foundation was developed in order to test for out-of-plane failure of an ice sheet.
Date of Award28 Jul 2020
Original languageEnglish
Awarding Institution
  • University Of Strathclyde
SponsorsUniversity of Strathclyde
SupervisorErkan Oterkus (Supervisor) & Selda Oterkus (Supervisor)

Cite this

'