Fracture mechanics analysis of bimaterial interface cracks using an enriched method of fundamental solutions: Theory and MATLAB code

This paper presents a fracture mechanics analysis in continuously non-homogeneous, isotropic, linear elastic and functionally graded materials (FGMs). A meshless boundary element method (BEM) is developed for this purpose. Young’s modulus of the FGMs is assumed to have an exponential variation, while Poisson’s ratio is taken as constant. Since no simple fundamental solutions are available for general FGMs, fundamental solutions for homogeneous, isotropic and linear elastic solids are used in the present BEM, which contains a domain-integral due to the material non-homogeneity. Normalized displacements are introduced to avoid displacement gradients in the domain-integral. The domain-integral is transformed into a boundary integral along the global boundary by using the radial integration method (RIM). To approximate the normalized displacements arising in the domain-integral, basis functions consisting of radial basis functions and polynomials in terms of global coordinates are applied. Numerical results are presented and discussed to show the accuracy and the efficiency of the present meshless BEM.

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Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems – Theory and MATLAB code

Computers & Structures ◽

10.1016/j.compstruc.2019.04.010 ◽

2019 ◽

Vol 220 ◽

pp. 144-155 ◽

Cited By ~ 12

Author(s):

Yan Gu ◽

Chia-Ming Fan ◽

WenZhen Qu ◽

Fajie Wang

Keyword(s):

Heat Conduction ◽

Large Scale ◽

Three Dimensional ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Matlab Code ◽

Scale Modelling ◽

Anisotropic Heat Conduction

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Fracture Mechanics Analysis for Short Cracks.

10.21236/ada192002 ◽

1987 ◽

Author(s):

B. S. Annigeri

Keyword(s):

Fracture Mechanics ◽

Short Cracks ◽

Mechanics Analysis

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Nonlinear Fracture Mechanics Analysis Considering Material Inhomogeneity of Welded Joints

Impact ◽

10.21820/23987073.2019.10.105 ◽

2019 ◽

Vol 2019 (10) ◽

pp. 105-107

Author(s):

Hiroshi Okada

Keyword(s):

Fracture Mechanics ◽

Solid Mechanics ◽

Crack Nucleation ◽

Intensity Factors ◽

Nonlinear Fracture Mechanics ◽

Material Inhomogeneity ◽

Computational Fracture Mechanics ◽

New Methods ◽

Nonlinear Fracture ◽

Mechanics Analysis

Professor Hiroshi Okada and his team from the Department of Mechanical Engineering, Faculty of Science and Technology, Tokyo University of Science, Japan, are engaged in the field of computational fracture mechanics. This is an area of computational engineering that refers to the creation of numerical methods to approximate the crack evolutions predicted by new classes of fracture mechanics models. For many years, it has been used to determine stress intensity factors and, more recently, has expanded into the simulation of crack nucleation and propagation. In their work, the researchers are proposing new methods for fracture mechanics analysis and solid mechanics analysis.

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