The Earthquake Engineering Online Archive

Large Displacement Analysis of Shells of Revolution, Including Creep, Plasticity and Viscoelasticity

Larsen, Per Kristian

UCB/SESM-1971/22, Dept. of Civil Engineering, University of California, Berkeley, 1971-12, PDF (6 MB) (500/C23/71/22)

An incremental variational formulation for the nonlinear finite element analysis of time dependent deformations in solids is developed. Both material and geometrical nonlinearities are considered. The material nonlinearities are due to creep and plasticity, and the geometrical one is caused by large displacements resulting from finite rotations. The time dependence is due to creep in metals and viscoelasticity in polymeric materials. The incremental equilibrium equations are derived in the Lagrangian mode of description using the virtual work principle. The resulting equations are linearized and solved by a step forward integration procedure.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-71-22.pdf (6 MB)