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It does not use any discrete crack elements and therefore there is no need to generate discrete crack elements to follow the crack propagation.
The regular crack elements away from the crack tip use the quadratic polynomial interpolation for the CODs.
On the other hand, the discrete crack models are difficult to apply because of the need to adaptively generate discrete crack elements to follow the crack formation.
Herein, a new finite element method for discrete crack analysis, which does not require the use of discrete crack elements, is developed.
Comparisons were made between the new technique welded T-joint and conventional T-joint mainly on microstructure, hot crack, elements distribution features and mechanical properties within weld.
Each curvilinear crack is represented by a collection of straight crack elements and the crack opening displacement (COD) by the continuous distribution of the dislocation dipoles.
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Figure 4 shows a simple typical procedure for subdividing a crack element and a crack tip element; a larger number of triangles may be required to achieve sufficient accuracy.
Fracture mechanics and Lagrange equation were used to obtain crack element stiffness matrix and p-version finite element model respectively in the analysis.
Accordingly, depending on the instantaneous state of forces acting on the crack element, the SIF is influenced, which influences the stiffness coefficients.
The hybrid crack element (HCE) is one of the most accurate and convenient finite elements (FEs) for the direct calculation of the stress intensity factor (SIF) and coefficients of the higher order terms of the Williams expansion.
The crack element located next to the crack tip is called the crack tip singular element (CTSE), where the known r crack tip opening displacement and the 1/r stress singularity is mathematically built in the interpolation of the COD using the Chebyshev polynomials.
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