Hi all, I am currently beginning research as a graduate student on meshfree methods, focusing on RKPM right now. I have not been able to find an exact definition of what exactly a reproducing kernel means. Could someone kindly define a reproducing kernel? According to W.K Liu et al, a good example of a reproducing kernel is a Fourier transform, but I can't grasp why is that so.

I have a question regarding simple torsion of a circular shaft with a uniform cross section. Given a hollow circular shaft with inner radius R1 and outer radius R2, length L, shear modulus G, fixed-free boundary conditions and applied torque T about the central axis, the equation for the rotation angle at the end of the beam is

 phi = T*L/(J*G)

where J = pi/4*(R2^4-R1^4)

which software is use for simulate ultrasonic turning process.is it possible in ansys?

Hi,

I am working on delaminated composite materials. For analysis I was trying to use ansys or lusas but not able to model proerly . I need help to model the following problem.

32 layer laminated plate length 300mm

width 250mm

delaminated between 8th and 9th layer from the top and location is  100mm from left eadge and delaminated width 50mm. Simply supported in all four eadges.

lay ups are symmetric and assume any material property (E11, E12, E22, nu, G12 etc)

Problem : buckling load and mode shape to be determined.