Transient analysis of stationary interface cracks in orthotropic bi-materials using oscillatory crack tip enrichments

Afshar, Arman; Ardakani, Saeed Hatefi; Mohammadi, Soheil

doi:10.1016/j.compstruct.2016.01.086

Cited by 12 publications

(2 citation statements)

References 32 publications

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“…It is important to highlight that the auxiliary functions ϕI, ϕIx, ϕIy have to be developed for each type of elements [11,12], which is actually not a trivial task. Fortunately, a general formulation to determine auxiliary functions for a wide range of finite elements from one to three dimensions has been recently proposed by [9], resolving the bottleneck. For the sake of completeness, the general formulation of auxiliary functions is shown in the followings.…”

Section: Brief On Formulation Of the Consecutive -Interpolation 4-nodmentioning

confidence: 99%

“…Usually, the enriched functions are proposed based on knowledge of closed form asymptotic fields at crack tip, see [4] for isotropic material and [5] for orthotropic materials. Although the enriched functions proposed by [5] for orthotropic materials have been later employed by many authors [6,7,8,9], they are not sufficient in the special case of isotropic materials. In the last few years, a new type of enriched functions, namely ramp functions, was proposed [10], which is not based on analytical solution.…”

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confidence: 99%

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A novel numerical approach for fracture analysis in orthotropic media

Nguyen

Bui

et al. 2017

Sci. Tech. Dev. J.

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This paper presents a novel approach for fracture analysis in two-dimensional orthotropic domain. The proposed method is based on consecutive-interpolation procedure (CIP) and enrichment functions. The CIP were recently introduced as an improvement for standard Finite Element method, such that higher-accurate and higher-continuous solution can be obtained without smoothing operation and without increasing the number of degrees of freedom. To avoid re-meshing, the enrichment functions are employed to mathematically describe the jump in displacement fields and the singularity of stress near crack tip. The accuracy of the method for analysis of cracked body made of orthotropic materials is studied. For that purpose, various examples with different geometries and boundary conditions are considered. The results of stress intensity factors, a key quantity in fracture analysis, are validated by comparing with analytical solutions and numerical solutions available in literatures.

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Section: Brief On Formulation Of the Consecutive -Interpolation 4-nodmentioning

confidence: 99%