ALTERNATIVE PROCEDURE FOR VISCOELASTIC ANALYSIS OF PLATES BY THE BOUNDARY ELEMENT METHOD

Resumo

This study presents an alternative Boundary Element formulation for the analysis of viscoelastic plate in bending without using convolution processes with internal cells, Laplace transforms or special fundamental solutions. Two different constitutive models are considered. The first and simplest one is the Kelvin-Voigt model that does not take into account instantaneous response. The second, Boltzmann model, considers instantaneous and time dependent behavior of materials. An appropriate kinematical relation is combined with differential viscoelastic constitutive representations in order to generate the time marching scheme. Spatial approximations are used for boundary elements before any time solution. The proposed technique results in a time marching process that does not use relaxation functions to recover viscous behavior. Some examples are shown in order to demonstrate the accuracy and stability of the technique.

Keywords: Viscoelasticity. Boundary Elements. Numerical time integration.

COSTA, R. C.; CODA, H. B.; VENTURINI, W. S. Alternative procedure for viscoelastic analysis of plates by the Boundary Element Method. Cadernos de Engenharia de Estruturas, São Carlos, v. 12, n. 57, p. 13-38, 2010. ISSN: 1809-5860.