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Estimation of J-integral for a Non-local Particle Model Using Atomistic Finite Element Method and Coupling Between Non-local Particle and Finite Element Methods


Abstract In this paper, at first, analytical formulation of J-integral for a non-local particle model (VCPM) using atomic scale finite element method is proposed for fracture analysis of 2D solids. A brief review of classical continuum-based J-integral and anon-local lattice particle method is given first. Following this, detailed derivation for the J-integral in discrete particle system is given using the energy equivalence and stress-tensor mapping between the continuum mechanics and lattice-particle system.With the help of atomistic finite element method, the J-integral is expressed as a summation of the corresponding terms in the particle system.

Secondly, a coupling algorithm between a non-local particle method (VCPM) and the classical finite ... (more)
Created Date 2016
Contributor Zope, Jayesh Vishnu (Author) / Liu, Yongming (Advisor) / Oswald, Jay (Committee member) / Jiang, Hanqing (Committee member) / Arizona State University (Publisher)
Subject Mechanical engineering / coupling / finite element method / fracture / J-integral / particle method
Type Masters Thesis
Extent 46 pages
Language English
Copyright
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Note Masters Thesis Mechanical Engineering 2016
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis