Peridynamics theory and its applications in isotropic and functionally graded beam and plate structures

  • Zhenghao Yang

Student thesis: Doctoral Thesis

Abstract

In recent two decades, as an alternative formulation to Classical Continuum Mechanics (CCM), peridynamics (PD) has been rapidly progressed for solid mechanics applications. Instead of expressing equations of motion in partial differential equation form as in CCM, PD equations of motion are expressed in integro-differential equation form. Moreover, PD equations do not contain any spatial derivatives, which offer certain advantages especially for the solution of problems including displacement discontinuities due to the existence of cracks. This thesis emphasizes the introduction of governing equations for currently popular beam and plate models in peridynamics framework. The formulations are derived by using Euler-Lagrange equation and Taylor series expansion and verified by considering benchmark problems with comparison against finite element analysis results. In addition, the implementation of peridynamic beam and plate formulations in finite element framework is explained. Moreover, the classical peridynamic formulations (bond based, ordinary state based and non-ordinary state based) are revisited.
Date of Award4 Mar 2021
Original languageEnglish
Awarding Institution
  • University Of Strathclyde
SponsorsUniversity of Strathclyde
SupervisorErkan Oterkus (Supervisor) & Nigel Barltrop (Supervisor)

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