INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2004; 61:2205–2238 Published online 18 October 2004 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/nme.1142 Constitutive model for quasi-static deformation of metallic sandwich cores Zhenyu Xue and John W. Hutchinson ∗, † Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, U.S.A. SUMMARY All-metal sandwich construction holds promise for significant improvements in stiffness, strength and blast resistance for built-up plate structures. Analysis of the performance of sandwich plates under various loads, static and dynamic, requires modelling of face sheets and core with some fidelity. While it is possible to model full geometric details of the core for a few selected problems, this is unnecessary and unrealistic for larger complex structures under general loadings. In this paper, a continuum constitutive model is proposed as an alternative means of modelling the core. The constitutive model falls within the framework of a compressible rate-independent, anisotropic elastic– plastic solid. The general form of the model is presented, along with algorithmic aspects of its implementation in a finite element code, and selected problems are solved which benchmark the code against existing codes for limiting cases and which illustrate features specific to compress- ible cores. Three core geometries (pyramidal truss, folded plate, and square honeycomb) are con- sidered in some detail. The validity of the approach is established by comparing numerical finite element simulations using the model with those obtained by a full three-dimensional meshing of the core geometry for each of the three types of cores for a clamped sandwich plate subject to uniform pressure load. Limitations of the model are also discussed. Copyright 2004 John Wiley & Sons, Ltd. KEY WORDS: sandwich plate; sandwich core; constitutive model; finite element method; plasticity 1. INTRODUCTION Metallic sandwich structures, comprised of stiff face sheets and low-densitycore configurations, are now used as weight efficient structures [1, 2]. Recent attention has focused on the design of sandwich plate structures that are stiff, strong and effective against blast-type loads [3–5]. ∗ Correspondence to: J. W. Hutchinson, Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, U.S.A. † E-mail: [email protected] Contract/grant sponsor: ONR; contract/grant numbers: GG 10376-114934 and N00014-02-1-0700 Contract/grant sponsor: Division of Engineering and Applied Sciences, Harvard University Received 24 October 2003 Revised 26 March 2004 Copyright 2004 John Wiley & Sons, Ltd. Accepted 19 April 2004
Constitutive model for quasi-static deformation of metallic sandwich cores
May 19, 2023
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