Gradients, Singularities and Interatomic Potentials
Parisis K, Aifantis K (2021)
Publication Type: Conference contribution
Publication year: 2021
Publisher: Springer Science and Business Media Deutschland GmbH
Book Volume: 5
Pages Range: 793-800
Conference Proceedings Title: Minerals, Metals and Materials Series
Event location: Pittsburgh, PA
ISBN: 9783030652609
DOI: 10.1007/978-3-030-65261-6_71
Abstract
After a brief review on the ability of continuum gradient elasticity (GradEla) to eliminate singularities from dislocation lines and crack tips, we present an extension to its fractional counterpart by replacing the classical Laplacian in the gradient-enhanced Hooke’s Law by a fractional one. Then, a discussion on implications of fractional gradient elasticity to eliminate stress/strain singularities from a screw dislocation is given, followed by the derivation of the fundamental solution of the governing fractional Helmholtz equation, for addressing more general problems. Finally, an elaboration is provided on using these ideas to revisit interatomic potentials used in materials science simulations.
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APA:
Parisis, K., & Aifantis, K. (2021). Gradients, Singularities and Interatomic Potentials. In Minerals, Metals and Materials Series (pp. 793-800). Pittsburgh, PA, US: Springer Science and Business Media Deutschland GmbH.
MLA:
Parisis, K., and Katerina Aifantis. "Gradients, Singularities and Interatomic Potentials." Proceedings of the 150th Annual Meeting and Exhibition of The Minerals, Metals and Materials Society, TMS 2021, Pittsburgh, PA Springer Science and Business Media Deutschland GmbH, 2021. 793-800.
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