Gr. Liu et al., A strip element method for analyzing wave scattering by a crack in an immersed composite laminate, J APPL MECH, 66(4), 1999, pp. 898-903
Citations number
27
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
A strip element method is presented for analyzing wave scattering by a crac
k in a composite laminate submerged in a fluid. In this method, the fluid a
nd laminated plate are modeled using two-nodal-line and three-nodal-line st
rip elements, respectively. A system of governing equations of the fluid an
d solid strip elements in frequency domain are derived using a variational
method and the Hamilton principle, which are converted as a set of characte
ristic equations in wave number domain by applying Fourier transform techni
ques. A particular solution to the equations is obtained using a modal anal
ysis method in conjunction with inverse Fourier transform techniques. A com
plementary solution to the equations is found employing horizontal boundary
conditions on cross sections at the crack tips. The addition of the partic
ular and complementary solutions yields a general solution. Numerical examp
les are presented for immersed steel and composite plates with either a hor
izontal or a vertical crack. Computed results indicate that the fluid has c
onsiderable influence on the wave fields scattered by a crack in a composit
e laminate.