Remarks on Mixed and Singular Finite Elements and on the Field Boundary Element Method

1988 ◽  
pp. 176-198
Author(s):  
Satya N. Atluri
Keyword(s):  
Boundary Element Method ◽  
Finite Elements ◽  
Boundary Element ◽  
Field Boundary ◽  
Element Method

Simulation of Axisymmetric Forming Processes, With Friction, Coupling Finite Elements and Boundary Elements

2006 ◽  
Author(s):  
Dominique Bigot ◽  
Hocine Kebir ◽  
Jean-Marc Roelandt
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Element Method ◽  
Finite Elements ◽  
Boundary Element ◽  
Symmetric Part ◽  
Forming Process ◽  
Optimal Shapes ◽  
Numerical Software ◽  
Element Method

Nowadays, the simulation of forming processes is rather well integrated in the industrial numerical codes. However, to take into account the possible modifications of the tool during cycle of working, we develop dedicated numerical software. This one more particularly will allow the identification of the fatigue criteria of the tool. With the view to conceiving the optimal shapes of tool allowing increasing their lifespan while ensuring a quality required of the part thus manufactured. This latter uses coupling with friction finite element method — for modelling the axi-symmetric part — and boundary element method — for modelling the tool. For the validation, we modeled forming process.

scholarly journals Functionally Graded Plate Fracture by Field Boundary Element

2021 ◽  
Author(s):  
Simone Palladino ◽  
Luca Esposito ◽  
Paolo Ferla ◽  
Renato Zona ◽  
Vincenzo Minutolo
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Boundary Element Method ◽  
Intensity Factor ◽  
Boundary Element ◽  
Scalar Function ◽  
Functionally Graded ◽  
Field Boundary ◽  
Plane Plate ◽  
Element Method

The paper describes the Field Boundary Element Method applied to the fracture analysis of a 2D rectangular plate made of Functionally Graded Material to calculate Mode I Stress Intensity Factor. The object of the Field Boundary Element Method is the transversely isotropic plane plate. Its material presents an exponential variation of the elasticity tensor depending on a scalar function of position, i.e., the elastic tensor results from multiplying a scalar function by a constant taken as a reference. Several examples using a parametric representation of the structural response show the suitability of the method that constitutes a sight of Stress Intensity Factor evaluation of Functionally Graded Materials plane plates even in the case of more complex geometries.

scholarly journals Functionally Graded Plate Fracture Analysis Using the Field Boundary Element Method

2021 ◽  
Vol 11 (18) ◽  
pp. 8465
Author(s):  
Simone Palladino ◽  
Luca Esposito ◽  
Paolo Ferla ◽  
Renato Zona ◽  
Vincenzo Minutolo
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Boundary Element Method ◽  
Intensity Factor ◽  
Boundary Element ◽  
Fracture Analysis ◽  
Scalar Function ◽  
Functionally Graded ◽  
Field Boundary ◽  
Element Method

This paper describes the Field Boundary Element Method (FBEM) applied to the fracture analysis of a 2D rectangular plate made of Functionally Graded Material (FGM) to calculate Mode I Stress Intensity Factor (SIF). The case study of this Field Boundary Element Method is the transversely isotropic plane plate. Its material presents an exponential variation of the elasticity tensor depending on a scalar function of position, i.e., the elastic tensor results from multiplying a scalar function by a constant taken as a reference. Several examples using a parametric representation of the structural response show the suitability of the method that constitutes a Stress Intensity Factor evaluation of Functionally Graded Materials plane plates even in the case of more complex geometries.

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