FEM modelling of the time-harmonic dynamical stress field problem for a pre-stressed plate-strip resting on a rigid foundation

AKBAROV S., Yildiz A., Eroz M.

APPLIED MATHEMATICAL MODELLING, vol.35, no.2, pp.952-964, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.1016/j.apm.2010.07.052
  • Journal Name: APPLIED MATHEMATICAL MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.952-964
  • Keywords: Plate, Elastodynamics equations, Initial stress, Time-harmonic load, Forced vibration, Finite element method, WAVE-PROPAGATION, SLAB, ELEMENT, LAYER
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, the FEM modelling of the time-harmonic dynamical stress field problem for the pre-stressed plate-strip with finite length resting on a rigid foundation is developed. The mathematical formulation of the considered problem is made by the use of the equations and relations of the Three-dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies. The proposed modelling is tested on the concrete problems as an example. The numerical results testing the validity of the developed FEM modelling are presented. Moreover, the numerical results attained for the various values of the problem parameters are also presented. (C) 2010 Elsevier Inc. All rights reserved.