Development of a non-ordinary state-based peridynamics solver
Author(s)
Advisor
Javili, Ali,Date
2019-09Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
Damage prediction is crucial in the design process of engineering structures to ensure structural
integrity. The limitations of empirical methods and the high costs associated with
experimental analyses have prompted the development of numerical methods to predict the
initiation and/or propagation of cracks under prescribed loading conditions. While various
methods exist for failure prediction, their formulations rely on partial differential equations
with spatial derivatives. As a result, these methods require special treatments in order to
accurately capture the underlying failure mechanisms. To overcome these limitations, the
peridynamic theory has been introduced as a novel, nonlocal continuum formulation. In
contrast to the other methods, it is expressed as an integro-differential equation devoid of
spatial derivatives, hence applicable to structural analyses involving discontinuities. This
project aims to elaborate on the development of a solver based on a specific variant of the
peridynamic formulation to investigate the behavior of two- and three-dimensional structures
under certain loading conditions. The current code is developed to solve quasi-static problems
related to damage initiation and propagation. In addition, it is aimed to show that
peridynamics can capture local, hyperelastic deformations. The overall structure of the code
is reviewed and the potential extensions of the current work are discussed.