Couple stress theory of curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
V.V. Zozulya (2017)
Curved and Layered Structures
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New models for plane curved rods based on linear couple stress theory of elasticity have been developed.2-D theory is developed from general 2-D equations of linear couple stress elasticity using a special curvilinear system of coordinates related to the middle line of the rod as well as special hypothesis based on assumptions that take into account the fact that the rod is thin. High order theory is based on the expansion of the equations of the theory of elasticity into Fourier series...