A penalty finite element approach for couple stress elasticity

摘要: There is mounting evidence for size dependent elastic deformation at micron and submicron length scales. Material formulations incorporating higher order gradients in displacements have been successful modeling such behavior. A couple stress theory without micro-rotation considered here as micro-rotations increase complexity necessitate parameters that are difficult to determine. Higher gradient theories require continuity both their derivatives direct approaches with nodal variables results a large number of degrees freedom. Here rotations applied along obtain simpler finite element formulation fewer The difference rotation determined minimized by penalty term. To assess the suggested approach simulations presented discussed, where material obtained from experiments epoxy microbeams literature.