Generalized Magneto-Thermo-Viscoelastic Problems of Rotating Functionally Graded Anisotropic Plates by the Dual Reciprocity Boundary 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.

Download Full-text

Functionally Graded Plate Fracture Analysis Using the Field Boundary Element Method

Applied Sciences ◽

10.3390/app11188465 ◽

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.

Download Full-text

Failure Analysis of Anisotropic Plates by the Boundary Element Method

Journal of Mechanics ◽

10.1017/jmech.2014.65 ◽

2014 ◽

Vol 30 (6) ◽

pp. 561-570 ◽

Cited By ~ 2

Author(s):

A. Sahli ◽

S. Boufeldja ◽

S. Kebdani ◽

O. Rahmani

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Time Integration ◽

Fundamental Solutions ◽

Thin Plates ◽

Anisotropic Plates ◽

Second Derivatives ◽

Dynamic Formulation ◽

Derivatives Of ◽

Element Method

AbstractThis paper presents a dynamic formulation of the boundary element method for stress and failure criterion analyses of anisotropic thin plates. The elastostatic fundamental solutions are used in the formulations and inertia terms are treated as body forces. The radial integration method (RIM) is used to obtain a boundary element formulationithout any domain integral for general anisotropic plate problems. In the RIM, the augmented thin plate spline is used as the approximation function. A formulation for transient analysis is implemented. The time integration is carried out using the Houbolt method. Integral equations for the second derivatives of deflection are developed and all derivatives of fundamental solutions are computed analytically. Only the boundary is discretized in the formulation. Numerical results show good agreement with results available in literature as well as finite element results.

Download Full-text