Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 73, Issue -, Pages 306-317Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2018.09.009
Keywords
Periodic penny-shaped cracks; Elastic wave reflection and transmission; Boundary integral equation method
Categories
Funding
- Science and Technology Center in Ukraine
- National Academy of Sciences of Ukraine [6247]
- German Academic Exchange Service
Ask authors/readers for more resources
Improved boundary integral equation method for the investigation of time-harmonic longitudinal elastic wave penetration through a plane of penny-shaped cracks with a periodic square or rectangular lattice in 3D infinite elastic solid is proposed. Under the assumption of normal incidence of wave, the corresponding symmetric wave scattering problem is reduced to a boundary integral equation for the displacement jump across the crack surfaces in a unit-cell by means of a 3D double-periodic Green's function in terms of the exponentially convergent Fourier integrals. A regularization technique for this Green's function involving special lattice sums in closed forms is adopted, which allows its effective calculation in a wide range of wave numbers. A collocation method is used for the solution of boundary integral equation. The reflected and transmitted far-field displacements are shown to be a superposition of a finite number of propagating wave modes and expressed by the obtained solution. The crack-opening-displacements, wave reflection and transmission coefficients in dependence on the wave number, lattice and crack sizes are computed and analyzed.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available