Electron self-energy in nonlocal field theory

1977 ◽  
Vol 103 (1) ◽  
pp. 169-184 ◽  
Author(s):  
G.V Efimov ◽  
M.A Ivanov ◽  
O.A Mogilevsky
Keyword(s):  
Field Theory ◽  
Self Energy ◽  
Nonlocal Field Theory ◽  
Nonlocal Field

scholarly journals Nonlocal elastodynamics and fracture

2021 ◽  
Vol 28 (3) ◽  
Author(s):  
Robert P. Lipton ◽  
Prashant K. Jha
Keyword(s):  
Field Theory ◽  
Brittle Fracture ◽  
A Priori ◽  
Nonlocal Model ◽  
Elastic Fields ◽  
Nonlocal Field Theory ◽  
Nonlocal Field ◽  
Increasing Function ◽  
Non Locality

AbstractA nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack. We carry out our analysis for a plate subject to mode one loading. The length of the crack is prescribed a priori and is an increasing function of time.

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