Effects of Transverse Shear deformation on thermo-mechanical instabilities in patched structures with edge damage
PEINAN GE (Rutgers University), William Bottega (Rutgers University)
Instability in Solids and Structures
Tue 4:20 - 5:40
Barus-Holley 190
The problem of a patched structure under uniform thermal loading is studied, where geometric nonlinearity and shear deformation are considered. The formulation is based on the calculus of variations with propagating boundaries, and yields the governing equations, boundary conditions, matching conditions and transversality condition. Closed form analytical solutions are obtained in terms of (unknown) membrane force and the angle of rotation and results of numerical simulations based on those solutions are presented. Critical phenomena of the composite structure are unveiled. Results of the current work are compared with previously published results where transverse shear deformation was neglected. It is seen that shear deformation plays an important role in certain situations. The effects of shear deformation on the phenomena of “sling-shot buckling” and “buckle trapping” are demonstrated and discussed. The influence of the relative size of the detached region and of the difference between the material properties of the base plate and of the patch on the thermo-mechanical instabilities are presented.