The linear θ method for 2-D elastodynamic BE analysis |
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| Authors: | G Yu W J Mansur J A M Carrer |
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| Affiliation: | (1) Ocean Engineering Department of Tianjin University, Tianjin, 300072, P.R. China, CN;(2) Civil Engineering Department COPPE-Federal University of Rio de Janeiro, Caixa Postal 68506, CEP 21945-970, Rio de Janeiro, RJ, Brazil, BR |
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| Abstract: | A linear θ method is used here to solve 2-D elastodynamic problems. Linear time and space interpolation functions are used,
and expressions for the computation of stresses at internal points by means of appropriate integral equations are presented.
When compared with the standard point collocation procedure, the linear θ method is more stable for 2-D elastodynamic problems,
with an equivalent computer cost. As the linear θ method presents more numerical damping than the standard approach, special
attention is required when either θ or the time step length is large. Two examples are presented in order to verify the accuracy
of the proposed formulation.
Received 15 November 1998 |
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