TITLE

# Hybrid Analytical and MLS-Based NMM for the Determination of Generalized Stress Intensity Factors

AUTHOR(S)
Liu, Feng; Zheng, Hong; Du, Xiuli
PUB. DATE
May 2015
SOURCE
Mathematical Problems in Engineering;5/19/2015, Vol. 2015, p1
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
The numerical manifold method (NMM) is characterized by its two cover systems, the mathematical cover and the physical cover. In the standard NMM, the mathematical cover is required to cover the whole problem domain. In this study, however, around each crack tip we specify a small domain on which the displacement is taken as the truncated Williamsâ€™ displacement series. And accordingly all such small domains are not covered by the mathematical cover that only covers the rest of the problem domain. Meanwhile, the mathematical cover is constructed by designating all supports of the scattered nodes arising in the moving least squares interpolation as the mathematical patches. In this way, any physical patch contains no crack tip and can be approximated by polynomials. As a result, no blending element issue exists as in the extended finite element method and NMM. In addition to high precision, the proposed procedure is especially suitable for the situation where a crack tip is very close to other cracks, a case difficult to treat by the interaction integral procedure that is commonly used in the extraction of the stress intensity factors of mixed mode cracks.
ACCESSION #
109250426

## Related Articles

• Study on the element with the hole and crack. Xu, Qiang; Chen, Jian-yun; Li, Jing; Xu, Gang // Acta Mechanica;Jul2014, Vol. 225 Issue 7, p1915

A new element is proposed for describing a discontinuous medium, such as holes and cracks, inside the region of the element. The underlying idea is to construct numerically the base functions of the discontinuous region by capturing the results calculated by fine finite elements in small-scale...

• Study on the Constitutive Model for Jointed Rock Mass. Xu, Qiang; Chen, Jianyun; Li, Jing; Zhao, Chunfeng; Yuan, Chenyang // PLoS ONE;Apr2015, Vol. 10 Issue 4, p1

A new elasto-plastic constitutive model for jointed rock mass, which can consider the persistence ratio in different visual angle and anisotropic increase of plastic strain, is proposed. The proposed the yield strength criterion, which is anisotropic, is not only related to friction angle and...

• The Influence of Beams' Axes Shifting on the Level of Stress and Displacements. Popa, Ioan; Florea, Ion; Stanciu, Lavinia Silvia // Petroleum - Gas University of Ploiesti Bulletin, Technical Serie;2010, Vol. 62 Issue 4B, p13

In the case of metallic structures consisting of beams, there are situations where, technically, many beams can not or should not get fixed in their nodes, so that their axes intersect. In many cases, for these structures there are adopted computational models having beams with intersected axes,...

• The Stress: Intensity Factors for Three Griffith-cracks opened by Body Forces in Stress-free Isotropic Rectangle. Singh, Dharam Veer; Singh, Harendra; Kushwaha, P. S.; Kumar, Shelendra // Global Journal of Pure & Applied Mathematics;2012, Vol. 8 Issue 3, p263

The closed form expressions of stress-intensity factors and of crack shape have been obtained by using finite Fourier sine and cosine transform along with cross-linear superposition principle. A special case of point body Force has been considered.

• Analytical and numerical modeling of pullout capacity and interaction between hexagonal wire mesh and silty sand backfill under an in-soil pullout test. Bergado, Dennes T; Teerawattanasuk, Chairat; Kongkitkul, Warat // Canadian Geotechnical Journal;Oct2003, Vol. 40 Issue 5, p886

During the pullout test, the pullout clamping system was modified and installed inside the pullout box with confinement from the fill material, hereinafter called the in-soil pullout test, which significantly reduced the necking phenomenon and the displacements mobilized during the pullout test....

• Physically and Geometrically Nonlinear Static Problems for Thin-Walled Multiply Connected Shells. Guz, A. N.; Storozhuk, E. A.; Chernyshenko, I. S. // International Applied Mechanics;Jun2003, Vol. 39 Issue 6, p679

Physically and geometrically nonlinear two-dimensional problems are formulated for multiply connected thin shells (weakened by several curvilinear holes). A technique and algorithm are proposed for their solution with allowance for elastoplastic strains and finite deflections of shells under...

• Numerical investigation on stress corrosion cracking behavior of dissimilar weld joints in pressurized water reactor plants. Lingyan Zhao; He Xue; Fuqiang Yang; Yaohong Suo // Frattura e Integrita Strutturale;2014, Vol. 8, p410

There have been incidents recently where stress corrosion cracking (SCC) observed in the dissimilar metal weld (DMW) joints connecting the reactor pressure vessel (RPV) nozzle with the hot leg pipe. Due to the complex microstructure and mechanical heterogeneity in the weld region, dissimilar...

• The Investigation of the Stress State near the Crack Tip of Central Cracks Through Numerical Analysis. Hajdu, Štefan // Annals of DAAAM & Proceedings;2013, Vol. 24 Issue 1, p477

The paper deals with the fracture problematics which is solved by CAE systems. Main goal of the numerical simulation is to investigate the stress state near the crack tip through determination of stress intensity factors. The investigated component is thick plate with symmetric central crack....

• Validity of J-Q-Tz Parameter for Three Dimensional Asymptotic Crack Tip Fields in Non-Hardening Materials. Leong, K. H.; Yusof, F. // AIP Conference Proceedings;2017, Vol. 1865 Issue 1, p1

This paper outlines a framework for evaluating the asymptotic crack tip field solution incorporating Tz parameter in three-dimensional crack problems. Assessment was done based on the comparisons with analytical solutions and results from three-dimensional crack-tip finite element analysis....

Share