scholarly journals Analytical integration of the tractions induced by non-singular dislocations on an arbitrary shaped triangular quadratic element

2020 ◽  
Vol 28 (7) ◽  
pp. 075001
Author(s):  
Sylvain Queyreau ◽  
Khiem Hoang ◽  
Xiangjun Shi ◽  
Sylvie Aubry ◽  
Athanasios Arsenlis
Keyword(s):  
Analytical Integration ◽  
Quadratic Element

BEM for Static and Dynamic Fracture Analysis in Thin Piezoelectric Structures

2013 ◽  
Vol 816-817 ◽  
pp. 149-152
Author(s):  
Hong Jun Zhong ◽  
Hong Yan Wang ◽  
Jun Lei ◽  
Wei Dong Gu
Keyword(s):  
Singular Integrals ◽  
Integration Method ◽  
Domain Boundary ◽  
Fracture Analysis ◽  
Thin Structures ◽  
Analytical Integration ◽  
Piezoelectric Structure ◽  
Nearly Singular Integrals ◽  
Quadratic Element ◽  
Piezoelectric Structures

A 2D time-domain boundary element method (BEM) is developed to study the fracture problems in thin piezoelectric structure. The nearly singular integrals arisen in thin structures are calculated in two ways. One is based on a nonlinear coordinate transformation for curve-quadratic element, and the other one is an analytical integration method for straight quadratic element. Numerical examples are presented to verify the effectiveness and stability of the present BEM in thin piezoelectric structure.

EXPRESS rack analytical integration

2001 ◽  
Author(s):  
Walter Schneider ◽  
Carole McLemore ◽  
Thomas Danford
Keyword(s):  
Analytical Integration

scholarly journals CALCULATION OF GRAVITY EFFECTS OF TRIDIMENSIONAL STRUCTURES BY ANALYTICAL INTEGRATION OF A POLYHEDRIC APPROXIMATIN AND APPLICATIN TO THE INVERSE PROBLEM

1987 ◽  
Vol 26 (3) ◽  
pp. 407-428
Author(s):  
F. GUSPI ◽  
A. INTROCASO ◽  
E. HUERTA
Keyword(s):  
Inverse Problem ◽  
Analytical Integration ◽  
Gravity Effects

Se deducen expresiones analíticas de rápido procesamiento en máquina, para el cálculo de la anomalía gravimétrica producida en un punto exterior por un modelo de cuero tridimensional homogéneo, definido al dar varias secciones verticales paralelas de contorno poligonal vinculadas lateralmente por caras triangulares. Se emplea luego este tipo de cuerpo en el modelado de soluciones del problema gravimétrico inverso, efectuándose algunas sugerencias respecto de la convergencia. Se presentan también ejemplos de cálculos directos e inversos.

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