Romil Tanov and Ala Tabiei
Center of Excellence in DYNA3D Analysis
Department of Aerospace Engineering and Engineering Mechanics
University of Cincinnati, OH 45221-0070, USA
Abstract
A new homogenization procedure for Finite Element (FE) analysis of sandwich shells was recently developed and presented by the authors. To the authors’ knowledge all present FE approaches to sandwich structures are incorporated into the FE formulation on the element formulation level. Unlike other formulations the present approach works on the constitutive level. A homogenization of the sandwich shell is performed at each call of the corresponding constitutive subroutine. Thus the sandwich nature of the problem is hidden from the main FE program. As a consequence there is no need to develop a new shell element formulation, but instead all available homogeneous shell elements in the utilized FE code can be used for the analysis of sandwich shells. This would provide versatility of the FE analysis and potentials to trade off between the level of accuracy and computational efficiency by using more accurate or simpler shell elements. Furthermore, the sandwich homogenization procedure (SHOP) can be easily coupled with a composite homogenization model to enable analysis of sandwich shells with composite faces. To validate the present approach and check its accuracy, efficiency and overall performance it is implemented in a finite element package and combined with existing first order shear deformable shell elements for homogeneous materials. Results are obtained and herein presented for problems previously investigated experimentally and by different theoretical and numerical techniques. The presented results show good agreement with published results from far more complicated and computationally intensive analyses, which builds confidence in the approach and motives its future elaboration and development.
Keywords: sandwich shells, finite element analysis, sandwich homogenization, shell elements, composite faces, plate deformations
REFERENCE: Tanov, R. and Tabiei, A., "Finite Element Implementation of a New Sandwich Homogenization Procedure" , International Journal for Numerical Methods in Engineering, submitted for publication, 1999.