Investigation of the size effect on buckling behavior of microbeams

Nowadays, technology is devoloping and evolving very fast. With current studies researchers all around the world see that micro dimension is important as macro dimension. Studies in these sizes found that micro-nano structres and materials can be more durable and at the same time can be very light. These structures and also nano materials can have supreme mechanical properties comparing to their macro sized equivalents. This is why nanotechnology is crucial research topic. In this research field studies are expensive and needs a lot of time to get great results out of them. This is why researchers prefer continuum mechanics. In this thesis study the buckling behavior of micro beams is presented. The material used is nickel. Euler-Bernoulli beam model and Reformulated strain gradient elasticity theory is used for modeling the microbeams. Also for analyzing the buckling behavior Rayleigh -Ritz method is used. For different boundry conditions clamped-free end and simple supported beams are picked. Buckling behavior and size effects are analyzed for different material length-scale parameters and different non classical theories. Different conditions like lenght and beam thickness increasing and their effects on critical buckling load and non-dimensional buckling loads are studied. Size effects with this new model specially on smaller beams are visible.