@article{oai:nagoya.repo.nii.ac.jp:00031196, author = {Ohashi, Yoshio and Kamiya, Norio}, issue = {2}, journal = {Memoirs of the Faculty of Engineering, Nagoya University}, month = {Mar}, note = {In the paper, a large deflection of a simply supported annular plate of an aluminium alloy, which has a non-linear continuous stress-strain curve, subjected to a uniform lateral load along its inner edge is analysed by taking account of the effects of compressibility of the material and membrane force induced in the plate according to its deflection. As the result of analysis, distributions of bending moment, membrane force, components of surface strain, radial displacement and deflection were obtained. The analytical values of deflection and strain components on both surfaces agreed well with the results of the corresponding experiment. Previously, a remarkable difference between the analytical and the corresponding experimental results of the surface strain, especially on radial component, appeared on the bending of annular plate made of mild steel for more than a certain value of load. The difference was attributed to the delay of yielding of the mild steel having upper and lower yield points according to the restraint of the region being still in elastic state under large gradient of stress distribution which is especially remarkable in annular plate. According to such an assumption, the difference between the corresponding two results cannot appear for the material having non-linear continuous stress-strain relation such as aluminium alloy. Therefore, to confirm the assumption in analysing the bending problem of annular plate made of an aluminium alloy is another essential intension of this paper. As mentioned above, the analytical values of surface strain components agreed well with the corresponding experimental ones. Accordingly, the above mentioned assumption was confirmed well by comparing the results of the two investigations concerning the bending of annular plates made of mild steel and aluminium alloy.}, pages = {303--316}, title = {On the large deflection of an annular plate of the material having a non-linear stress-strain relation}, volume = {21}, year = {1970} }