The Earthquake Engineering Online Archive

Global analysis methods for the solution of the elastoplastic and viscoplastic dynamic problems

Ortiz, Miguel; Pinsky, Peter M.

UCB/SESM-1981/08, Dept. of Civil Engineering, University of California, Berkeley, 1981-12, 19 pages (500/C23/81/08)

The elastoplastic dynamic problem is first formulated in a functional form that facilitates the application of the techniques of nonlinear semigroup theory. Existence and uniqueness of the solution is then proved by showing that the equations of motion define a contraction semigroup in an adequate Hilbert space. Product formulas are discussed that are seen to result in computationally efficient algorithms. Finally, the approximation of solutions by means of linear and nonlinear viscoplastic models is studied.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-81-08.pdf (8 MB)