Publication Date


Document Type


First Advisor

Gau, Jenn-Terng

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mechanical Engineering


A relatively new fracture theory known as peridynamics has been developed which uses a nonlocal theory to describe crack growth, resolving many of the issues associated to the classical continuum theory. Internal material interactions are described via a family of ‘bonds’, capable of exerting force over a macro-scale region of influence known as the horizon. Bond damage accumulates naturally due to repeated cyclic or critical loading and damage precipitates as a growing crack as bonds reach a critical damage and are severed. In the present work a modified compact tension specimen subjected to cyclic loading is modeled with the 2D peridynamic theory implemented in FEM software. A bond-based fatigue damage model is incorporated via user subroutine to model bond damage and crack growth. A constant stress intensity factor (SIF) at the crack tip is maintained via a feedback loop which evaluates the SIF via the nonlocal J-integral. Results of the crack path spatial position and damage accumulation rate will be validated against empirical data. The method and subroutines established will provide a basis for further validation of the theory and its applications.


101 pages




Northern Illinois University

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