Analysis Of Elastic-Plastic Buckling Of Member With Residual Stresses Wrapped By Carbon Fibre Under The Axial Compressive Load And Bending Moment

Elastic-plastic buckling of member under the axial compressive load and bending moment is an old research subject. Scholars have researched Elastic-plastic buckling of member under the axial compressive load and bending moment with residual stresses, but most analyses is mainly based on finite element methods.The reinforcement method about composited materials has aroused more and more researchers' interest recently. Plenty of results by numerical analysis and experimental research have been published, but most reforced research of composited materials focus on concrete member, seldom on steel member, especially on the buckling of steel member. As the difficulties of solution in mathematics, the theoretical research about it is very little. However, analytical solution can promote the research subject of buckling in depth.Plastic region can occur in single-side or both-side of cross-section in the member under the axial compressive load and bending moment, therefore, by considering residual stresses, the thesis will discuss the two aspects in a simply supported member.All in all, the steps of research are as follows:1. Based on Jezek method of computing elastic-plastic buckling of member under the axial compressive load and bending moment, analytical expressions of calculating ultimate load of buckling about neutral axis with maximum moment of inertia for a rectangular column with residual stresses that its upper and lower surfaces are wrapped by carbon fibre are derived.2. Owing to complexity of the formulae, it can be solved by programming.3. Establish an analytic model by finite element method and solve it to prove the correctness of the formulae. 4. The thesis provides a new method of theoretical study for elastic-plastic buckling of member. Obtaining the results of the elastic-plastic buckling of member with residual stresses wrapped by carbon fiber under the axial compressive load and bending moment, analysis the results of the influence of residual stresses and the reinforcing action of carbon fibre to the ultimate load, the thickness of the elastic core, the deflection of member at the midpoint and the fibre stress on the whole structure.