Symmetric-Galerkin boundary element analysis of the dynamic stress intensity factors in the frequency domain

Journal Article · Fri Jan 01 04:00:00 EST 2010 · Mechanics Research Communications

DOI:https://doi.org/10.1016/j.mechrescom.2009.11.009· OSTI ID:1004661

Phan, Anh-Vu ^[1]; Gray, Leonard J ^[1]; Salvadori, Alberto ^[1]

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1. ORNL

A two-dimensional symmetric-Galerkin boundary integral formulation for the analysis of the dynamic stress intensity factors (DSIFs) in the frequency domain is described. A quadratic element is employed, allowing the use of the modified quarter-point element at the crack tip. For singular and hypersingular integrals, this formulation is decomposed into two parts: the first part is identical to those for elastostatics while the second part, at most, contains only logarithmic singularities. The treatment of the elastostatic singular and hypersingular integrals is carried out by means of an exterior limit to the boundary, while the weakly singular integrals in the second part are handled by Gauss quadrature. Test examples are presented for the calculation of the DSIFs due to harmonic loading as well as wave scattering from a crack.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: SC USDOE - Office of Science (SC)
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1004661
• Journal Information: Mechanics Research Communications, Journal Name: Mechanics Research Communications Journal Issue: 2 Vol. 37; ISSN 0093-6413
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
97 MATHEMATICS AND COMPUTING
BOUNDARY ELEMENT METHOD
CRACKS
HARMONICS
MATERIALS
QUADRATURES
STRESS INTENSITY FACTORS
TWO-DIMENSIONAL CALCULATIONS