In an effort to learn COMSOL, I decided to model the two-dimensional elasticity equations using the weak form. I was surprised looking through the documentation that there are very few example problems, so I didn't have much to go on. I think I'm deriving these correctly, but I could use another pair of eyes:
-(lamb+2*mu)*test(ux)*ux-mu*test(uy)*uy-(lamb+mu)*test(ux)*vy
-(lamb+2*mu)*test(vy)*vy-mu*test(vx)*vx-(lamb+mu)*test(vy)*ux
lamb and mu are the lame coefficients. u=u(x,y) and v=v(x,y) are the displacement fields.
One question that I can't figure out is how to apply stress boundary conditions. Can anyone help with that?
-(lamb+2*mu)*test(ux)*ux-mu*test(uy)*uy-(lamb+mu)*test(ux)*vy
-(lamb+2*mu)*test(vy)*vy-mu*test(vx)*vx-(lamb+mu)*test(vy)*ux
lamb and mu are the lame coefficients. u=u(x,y) and v=v(x,y) are the displacement fields.
One question that I can't figure out is how to apply stress boundary conditions. Can anyone help with that?