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Paper Count: 30067
Study on Sharp V-Notch Problem under Dynamic Loading Condition Using Symplectic Analytical Singular Element
Abstract:V-notch problem under dynamic loading condition is considered in this paper. In the time domain, the precise time domain expanding algorithm is employed, in which a self-adaptive technique is carried out to improve computing accuracy. By expanding variables in each time interval, the recursive finite element formulas are derived. In the space domain, a Symplectic Analytical Singular Element (SASE) for V-notch problem is constructed addressing the stress singularity of the notch tip. Combining with the conventional finite elements, the proposed SASE can be used to solve the dynamic stress intensity factors (DSIFs) in a simple way. Numerical results show that the proposed SASE for V-notch problem subjected to dynamic loading condition is effective and efficient.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1316692Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF
 Niu Z, Cheng C, Ye J, Recho N, “A new boundary element approach of modeling singular stress fields of plane V-notch problems,” Int. J. Solids Struct., vol. 46, no.16, pp. 2999–3008, Aug. 2009.
 Ju SH, “Finite element calculation of stress intensity factors for interface notches,” Comput. Methods Appl. Mech. Eng., vol. 199, no. 33-36, pp. 2273–2280, Jul. 2010.
 Treifi M, Oyadiji SO, Tsang DKL, “Computation of the stress intensity factors of sharp notched plates by the fractal-like finite element method,” Int. J. Numer. Meth. Eng., vol. 77, no. 4, pp. 558–580, Jan. 2009.
 Noda NA, Takase Y, “Generalized stress intensity factors of V-shaped notch in a round bar under torsion, tension, and bending,” Eng. Fract. Mech., vol. 70, no. 11, pp. 1447–1466, Jul. 2003.
 Gross B, Mendelson A, “Plane elastostatic analysis of V-notched plates,” Int. J. Fract., vol. 8, no. 3, pp. 267–276, Sept. 1972.
 Yi G, Yu T, Bui TQ, Ma C, Hirose S, “SIFs evaluation of sharp V-notched fracture by XFEM and strain energy approach,” Theor. Appl. Fract. Mec., vol. 89, pp. 35-44, Jun. 2017.
 Yao WA, Hu XF, “A singular finite element on the mixed-mode bimaterial interfacial cracks,” Int. J. Comput. Meth. Eng. Sci. Mech., vol. 13, no. 4, pp. 219-226, 2012.
 Hu XF, Yao WA, “A new enriched finite element for fatigue crack growth,” Int. J. Fatigue, vol. 48, pp. 247-256, Mar. 2013.
 Yang HT, “A precise algorithm in the time domain to solve the problem of heat transfer,” Numer. Heat Tr. B-Fund., vol. 35, no. 2, pp. 243-249, 1999.
 Yao WA, Zhong WX, Lim CW, Symplectic Elasticity, World Scientific, 2009.