Crack propagation formula

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The boundary element method BEM is used in this paper for modelling multiple crack propagation in two-dimensional domains. The formulation adopted is based on the dual BEM, in which singular and hyper-singular integral equations are used. An iterative scheme is proposed in order to predict the crack growth path and the crack length increment at each load step. This scheme is accurate enough to simulate localisation and coalescence phenomena, which is the main contribution of this paper. The displacement correlation technique is used to evaluate the stress intensity factors and the theory of maximum circumferential stress is adopted to determine the crack propagation angle and the equivalent stress intensity factor. One application is presented in order to illustrate the robustness and applicability of the proposed model. Engineering Fracture Mechanics, 55, —, A finite element method for crack growth without remeshing. Elastic crack growth in finite elements with minimal remeshing. Three-dimensional boundary element analysis of fatigue crack growth in linear and non-linear fracture problems, Engineering Fracture Mechanics, 63, , Coupled reliability and boundary element model for probabilistic fatigue life assessment in mixed mode crack propagation, International Journal of Fatigue, 32, , Dual boundary element formulation applied to analysis of multi-fractured domains. Engineering Analysis with Boundary Elements, 34, , Probabilistic crack growth analyses using a boundary element model: Engineering Analysis with Boundary Elements, An improved boundary element formulation for calculating stress intensity factors - application to aerospace structures. Journal of Strain Analysis for Engineering Design, 22 4 , , Some applications of the boundary element method in geomechanics. Automated simulation of fatigue crack propagation for two-dimensional linear elastic fracture mechanics problems by boundary element method. Engineering Fracture Mechanics, 74, , Dual boundary element method: Efficient implementation for cracked problems. International Journal for Numerical Methods in Engineering, 33, , A brief evaluation of approximation methods for microcrack shielding problems. A new singular boundary element for crack problems. Application to bolted joints. Engineering Fracture Mechanics, 69, , Dual boundary element method modelling of aircraft structural joints with multiple site damagem. Engineering Fracture Mechanics, 73, , Strain Analysis Engineering Design, 40, —, A BEM model applied to failure analysis of multi-fractured structures. Engineering Failure Analysis Three-dimensional analysis of crack growth. In order to see related information, you need to Login. You may also Subscribe for unlimited downloads of all papers and abstracts on www. Key Engineering Materials Volume Advances in Crack Growth Modeling. Ferri Aliabadi and Pihua Wen. Oliveira , Edson Denner Leonel. Ulrich Groh, Meinhard Kuna. 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. 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. This paper presents an elastostatic crack analysis in three-dimensional 3D , isotropic, functionally graded and linear elastic solids. A boundary element method BEM based on boundary-domain integral equations is applied. A multi-domain technique and discontinuous elements at the crack-front are adopted. To show the effects of the materials gradients on the crackopening- displacements CODs and the stress intensity factors SIFs , numerical results for a pennyshaped crack are presented and discussed. This paper presents a single-domain boundary element method BEM for linear elastic fracture mechanics analysis in the two-dimensional anisotropic bi-materials. In this formulation, the displacement integral equation is applied on the outer boundary only, and the traction integral equation is applied on one side of the crack surface only. A special interfacial crack-tip element was introduced to capture exactly the oscillatory behavior. This BEM program has been verified having a good accuracy with the previous researches. Furthermore, by analyzing the different anisotropic degree of interfacial crack in an infinite domain, we found that the stress intensity factors of interfacial crack tips had apparent influence by the geometry forms of cracks and media with different anisotropic degrees. Karsten Wippler, Meinhard Kuna. A general purpose direct BEM code has been developed for three-dimensional crack problems in piezoelectric structures. Special 3D non-continuous crack tip elements and several techniques for determining crack tip parameters were implemented. The efficiency and accuracy of the technique are shown for various example problems by comparing with analytical solutions. Subscribe Back To Cart.

Crack propagation formula

Dual BEM Formulation Applied to Analysis of Multiple Crack Propagation