T-Stress Evaluation Based Cracking of Pipes Using an Extended Isogeometric Analysis (X-IGA)

Abstract

The aim of this study is to investigate the problem of pipe cracking based on T-stress analysis and the influence of other parameters, using a numerical computation performed by extended isogeometric analysis (X-IGA). This article examines the T-stress, which defines the second term of the Williams’ series expansion. T-stress provides effective elastic modeling at the crack tip. Using the extended iso-geometric analysis (X-IGA), we determined the distribution of T-stress at the crack tip in a pipe under internal pressure as a function of internal pressure, crack size, and Poisson’s ratio. To validate the promising findings, the results are expanded with a comparison to the extended finite element (X-FEM) method and existing research in this field, and we obtained an error between 0.2% and 4.6%. This work demonstrated the significance of T-stress in fracture description, the effect of Poisson’s ratio and size on T-stress, and that X-IGA provided accurate numerical results by precisely describing the geometry of the crack and enriching it.

Symmetry in Applied Continuous Mechanics 2022

“…The statistics for this Special Issue related to published or rejected items were as follows [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]: 25 total submissions, 15 published papers (60%), and 10 rejected papers (40%). The geographical distribution of the authors of published papers is shown in Table 1, in which it can be seen that 50 authors are from seven different countries.…”

High-Precision Isogeometric Static Bending Analysis of Functionally Graded Plates Using a New Quasi-3D Spectral Displacement Formulation

“…A non-uniform rational B-splines (NURBS)-based isogeometric analysis (IGA) method [36] is implemented to satisfy the in-plane C 1 -continuity requirement of the SDF and further enhance the present method's applicability to complex plate geometries. In view of the remarkable precision and versatility, the SDF-based IGA method has significant potential in various applications, e.g., strain-based or stress-based reliability analysis, optimization design, fatigue analysis, and fracture analysis [37,38].…”