Abstract
In the previous papers[2,3], relationships between the stress rates and the tangent stiffness’ with the special orthogonal group SO(3) for finite element formulation were derived. These stress rates were Truesdell stress rate, Jaumann stress rate, Neo-Green stress rate and linear stress rate. And Euler-buckling problems[1] by beam elements using these stress rates were analyzed and the buckling loads were compared with the theoretical solutions[4]. Then, in order to compare with those theoretical solutions[4], theoretical buckling loads using these stress rates are obtained in this research. At first, tangent stiffness’ of beams using four kinds of stress rates are obtained in last paper[5]. Next, equilibrium equations of these beams will be obtained and these equations of Euler-buckling loads will be obtained in the this paper.
