A numerical study of uniaxial compression in circular elastic-plastic columns
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The boundary value problem for a circular elastic-plastic column in uniaxial compression is posed in two ways. In one, the ends of the column are assumed to be cemented to rigid platens; while in the other they remain shear free. For the latter end condition, one solution corresponding to a state of uniform uniaxial stress is available for all values of applied compression. A class of bifurcation modes from this solution, that includes Euler strut buckling and axisymmetric bulging as special cases, is investigated by means of the finite element method. Here, it is found that the only bifurcation mode likely to be realized in elastic-plastic materials of the class considered here (for realistic values of material parameters) is Euler strut buckling. The entire deformation history of a stubby column cemented to rigid platens is also calculated. In this case, attention is confined to axisymmetric deformations. The results obtained include the overall load-strain curve for the column cemented to rigid platens and the stress and strain distributions at the mid section. © 1973.
International Journal of Solids and Structures
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