A direct homogenisation approach for determination of the stiffness matrix for microheterogeneous plates with application to sandwich panels

Composites Part B: Engineering

Volumn 34, Issue 7, 2003, Pages 615-626

  Hohe, Jörg ^a  

^a UNIVERSITY OF SIEGEN   (Germany)

Author keywords

A. Layered structures; A. Plates; B. Mechanical properties; C. Computational modelling

Indexed keywords

ELASTICITY; SANDWICH STRUCTURES; STIFFNESS MATRIX; STRUCTURAL PANELS; TENSORS;

SANDWICH PANELS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0041728744     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-8368(03)00063-5     Document Type: Article

References (18)

1. Gibson L.J., Ashby M.F. Cellular solids - structure and properties. 1999;Cambridge University Press, Cambridge.
2. Chang C.C., Ebcioglu I.K. Effect of cell geometry on the shear modulus and on density of sandwich panel cores. J Basic Engng. 83:1961;513-518.
3. Kelsey S., Gellatley R.A., Clark B.W. The shear modulus of foil honeycomb cores. Aircraft Engng. 30:1985;294-302.
4. Christensen R.M. Mechanics of cellular and other low-density materials. Int J Solids Struct. 37:2000;93-104.
5. Hohe J., Becker W. An energetic homogenisation procedure for the elastic properties of general cellular sandwich cores. Composites B. 32:2001;185-197.
6. Warren W.E., Kraynik A.M. Foam mechanics: the linear elastic response of two-dimensional spatially periodic cellular materials. Mech Mater. 6:1987;27-37.
7. Burton W.S., Noor A.K. Assessment of computational models for sandwich panels and shells. Comput Meth Appl Mech Engng. 124:1995;125-151.
8. Librescu L., Hause T. Recent developments in the modeling and behavior of advanced sandwich constructions: a survey. Compos Struct. 48:2000;1-17.
9. Vinson J.R. The behavior of sandwich structures of isotropic and composite materials. 1999;Technomic, Lancaster.
10. Caillerie D. Thin elastic and periodic plates. Math Meth Appl Sci. 6:1984;159-191.
11. Kohn R.V., Vogelius M. A new model for thin plates with rapidly varying thickness. Int J Solids Struct. 20:1984;333-350.
12. Lewiński T. Effective stiffnesses of transversely non-homogeneous plates with unidirectional periodic structure. Int J Solids Struct. 32:1995;3261-3287.
13. Grediac M. A finite element study of the transverse shear in honeycomb cores. Int J Solids Struct. 30:1993;1777-1788.
14. Hohe J., Becker W. A refined analysis of the effective elasticity tensor for general cellular sandwich cores. Int J Solids Struct. 38:2001;3673-3687.
15. Chen H.J., Tsai S.W. Analysis and optimum design of composite grid structures. J Compos Mater. 30:1996;503-534.
16. Kalamkarov A.L., Kolpakov A.G. Numerical design of thin-walled structural members on account of their strength. Int J Num Meth Engng. 36:1993;3441-3449.
17. Bishop J.F.W., Hill R. A theory of the plastic distortion of a polycrystalline aggregate under combined stress. Phil Mag. 42:1951;414-427.
18. Hughes T.J.R., Tezduyar T.E. Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. J Appl Mech. 48:1981;587-596.