... and perturbed Laplace equations associated with antiplane fracture in a graded material. We present the out-of-plane displacement and the shear stress solutions for a crack in exponentially and linearly graded materials by considering the gradation of the shear modulus either parallel or perpendicular...

... and supersonic by solving the Laplace equation and the Bessel function of imaginary argument, and analyze the phenomena of wrap-around fin rolling moment generation at angle of attack zero, and discuss the reason. The flow field of a projectile with wrap-around fins is solved by numerical method to check...

... greater than R ∕ h ∼ 4 . 18 05 2007 14 02 2008 14 05 2008 boundary-value problems buckling flow through porous media Laplace equations lubrication polymer foams stress-strain relations boundary value problem fluid-structure interaction foam lubrication approximation...

... 2006 Navier-Stokes equations vortices Laplace equations integration finite element analysis flow instability flow visualisation wakes external flows During the last three decades several studies appeared concerning the representation of the Navier-Stokes equations in terms of non...

... OF APPLIED MECHANICS . 14 Dec 2000 30 Oct 2001 25 08 2003 functionally graded materials heat conduction thermal conductivity boundary integral equations Green's function methods Galerkin method rotors Laplace equations Functionally graded materials (FGMs...