The performance of isoparametric finite elements in stress intensity factor determination
โ Scribed by B. B. Sabir
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 824 KB
- Volume
- 72
- Category
- Article
- ISSN
- 1573-2673
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โฆ Synopsis
Analysis of a compact compression specimen used for fracture toughness evaluation of cementitious materials is carried out by the finite element method using isoparametric elements. Both triangular and rectangular elements were used with those surrounding the crack lip being of the quarter point type. Solutions were obtained for different mesh subdivisions and convergence curves for the stress intensity factor were obtained by several methods based on extrapolation and energy techniques. It is found that monotonic convergence was obtained for all cases considered. Employing uniformly graded rectangular element representations converged solutions for the stress intensity factor (assuming a 1 percent convergence criterion) were obtained by the energy methods using a total of 720 degrees of freedom for solving half the structure.
Tests on modified 100 mm cubes with symmetrical notches were conducted to determine the fracture toughness. The fracture toughness was calculated from the stress intensity factor and the maximum load obtained from the tests which were conducted in a stiff Instron testing machine. The fracture toughness is found to be independent of the size of the notch.
๐ SIMILAR VOLUMES
A simple, yet accurate, approach for the determination of the stress ihtensity factors (SIFs) in three-dimensional (3-D) cracked anisotropic bodies modeled with quadratic isoparametric elements is presented. The main advantage of this formulation is that it does not require any code modification and
A new type of finite element is introduced which embodies the inverse square root singularity present near a crack in an elastic medium. Using this element near the tip in two typical cracked configurations, stress intensity factors within 5 per cent of accepted values were obtained with meshes havi
A~tract--The isoparametric finite elements are applied to determine the stress intensity factors for a pressurized crack perpendicular to and terminating at the interface of two bonded dissimilar materials. A proper definition for the stress intensity factors of a crack perpendicular to a bimaterial