The boundary element (BE) analysis is formulated by a symmetric (Galerkin weightedresidual, double-integration) approach, rather than by a traditional collocation or by a nonsymmetric-Galerkin approach. The internal variable associative elastoplastic material model is discretized in time by a stepwise-holonomic, backward-difference integration scheme: it is then enforced in a weighted-average sense over cells and reformulated in terms of cell generalized variables. In the above context the following results are established under suitable constitutive hypotheses; • (a) a minimum characterization of the solution to the discretized step-problem in finite increments; • (b) a convergence theorem concerning a conventional iterative algorithm for solving this problem; • (c) a proof of the stability of the marching solution method, in the sense of non-amplification of errors along a finite step sequence. An illustrative example corroborates the theoretical results.

Extremum, convergence and stability properties of the finite-increment problem in elastic-plastic boundary element analysis.

COMI, CLAUDIA;MAIER, GIULIO
1992

Abstract

The boundary element (BE) analysis is formulated by a symmetric (Galerkin weightedresidual, double-integration) approach, rather than by a traditional collocation or by a nonsymmetric-Galerkin approach. The internal variable associative elastoplastic material model is discretized in time by a stepwise-holonomic, backward-difference integration scheme: it is then enforced in a weighted-average sense over cells and reformulated in terms of cell generalized variables. In the above context the following results are established under suitable constitutive hypotheses; • (a) a minimum characterization of the solution to the discretized step-problem in finite increments; • (b) a convergence theorem concerning a conventional iterative algorithm for solving this problem; • (c) a proof of the stability of the marching solution method, in the sense of non-amplification of errors along a finite step sequence. An illustrative example corroborates the theoretical results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/652945
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