Your interest is appreciated. For now i don't have a precise idea of a specific application case (I just started studying the problem). But i thought that the question "can you be above the elastic limit inside while being above the elastic limit on the border?", would be clearly answered by the...
i would like to optimize over elastic deformation of a body (finding the best deformation in some sens), under the constraint that we never reach the elastic limit. In the optimization procedure, i am wondering if i should go over all points of the body and check if the constraint is verified...
Chestermiller, it's almost that, just the other way around, as Nidum said. Is it possible to exceed the elastic limit at an interior point, while everywhere on the surface the elastic limite is not exeeded?
Thanks for asking. I'll try to be more precise:
-Let Omega be a homogeneous and isotropic body.
-This body occupies a part of the space R^3, its border is a surface dOmega.
-We apply forces on dOmega. We don't consider other forces.
At a point in the body when local forces are small, the local...
I am new to elastic theory. I have a question about elasticity. We assume we have a body with no internal forces. Surface forces are applied on the border. Can we leave the elastic domain (reach the yield surface) in an interior point without leaving the elastic domain on the boundary?
If no...