Peridynamic-based multiscale frameworks for continuous and discontinuous material response

Student thesis: Doctoral Thesis

Abstract

This PhD thesis aimed to develop two broad classes of multiscale frameworks for peridynamic theory to address two pressing needs: first is increased computational efficiency and the second is characterisation of heterogeneous media. To achieve these goals, two multiscale frameworks were proposed: model order reduction methodologies and homogenization frameworks. The model order reduction schemes were designed to improve computational efficiency, while the homogenization methodology aimed to provide frameworks for characterisation of heterogeneous materials within the peridynamic theory. Two specific model order reduction schemes were proposed, including a coarsening methodology and a model order reduction method based on static condensation. These schemes were applied to benchmark problems and shown to be effective in reducing the computational requirement of peridynamic models without compromising the fidelity of the simulation results. Additionally, a first-order nonlocal computational homogenization framework was proposed to characterise heterogeneous systems in the framework of peridynamics. This framework was utilised to characterise the behaviour of elastic and viscoelastic materials and materials with evolving microstructures. The results from these studies agreed with published results. The thesis achieved the goal of contributing to the development of efficient and accurate multiscale frameworks for peridynamic theory, which have potential applications in a wide range of fields, including materials science and engineering.
Date of Award11 Aug 2023
Original languageEnglish
Awarding Institution
  • University Of Strathclyde
SupervisorErkan Oterkus (Supervisor) & Selda Oterkus (Supervisor)

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