Explicit expression of derivatives of elastic Green’s functions for general anisotropic materials

2003 ◽  
Vol 30 (3) ◽  
pp. 241-249 ◽  
Author(s):  
Ven-Gen Lee
Keyword(s):  
Explicit Expression ◽  
Green's Functions ◽  
Green’S Functions ◽  
Anisotropic Materials ◽  
Derivatives Of

ON THE EFFECTIVE ACTION IN FIELD THEORIES WITH DYNAMICAL SYMMETRY BREAKING

1991 ◽  
Vol 06 (26) ◽  
pp. 2443-2452 ◽  
Author(s):  
V. P. GUSYNIN ◽  
V. A. MIRANSKY
Keyword(s):  
Symmetry Breaking ◽  
Effective Action ◽  
Green's Functions ◽  
Green’S Functions ◽  
Dynamical Symmetry ◽  
Low Energy ◽  
Field Theories ◽  
Dynamical Symmetry Breaking ◽  
Derivatives Of

An approach to the low energy effective action based on the formalism of Green's functions of composite is developed in field theories with dynamical symmetry breaking. The effective action of the gauged Nambu-Jona-Lasinio model is derived as a series in powers of the derivatives of composite fields. The mechanism of scale symmetry breaking in this model is discussed.

Implementation of Different Formulas for Special Green’s Functions in a 3D Half-Space BEM

2019 ◽  
Vol 27 (01) ◽  
pp. 1850051 ◽  
Author(s):  
Rafael Piscoya ◽  
Martin Ochmann
Keyword(s):  
Green’S Function ◽  
Boundary Element ◽  
Half Space ◽  
Green's Function ◽  
Numerical Stability ◽  
Green's Functions ◽  
Green’S Functions ◽  
Correction Term ◽  
Second Derivatives ◽  
Derivatives Of

The numerical stability of different formulas for the correction term of the half-space Green’s function is investigated. The formula with complex monopoles is taken as a reference. The expressions of Koh and Yook, tested in a previous publication [R. Piscoya and M. Ochmann, Acoustical Green’s function and boundary element techniques for 3D half-space problems, J. Comput. Acoust. (2017), https://doi.org/10.1142/S0218396X17300018 ], are rewritten to improve their range of application. The formulas of Sommerfeld and Thomasson are analyzed and its suitability for a BEM implementation is evaluated by comparing their accuracy against our reference. For the sake of completeness, the first and second derivatives of the formulas are explicitly written.

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