The length-scale effect in the buckling of thin periodic plates resting on a periodic Winkler foundation

Meccanica

Volumn 38, Issue 4, 2003, Pages 435-451

  Jȩdrysiak, Jarosław ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Buckling; Length scale effect; Periodic plate; Winkler foundation

Indexed keywords

BUCKLING; FITS AND TOLERANCES; MATHEMATICAL MODELS; PROBLEM SOLVING; STIFFNESS;

LENGTH-SCALE EFFECTS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0042342519     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024608123649     Document Type: Article

References (18)

1. Caillerie, D., 'Thin elastic and periodic plates', Math. Meth. Appl. Sci. 6 (1984) 159-191.
2. Cielecka, I., Woźniak, C. and Woźniak, M., 'Elastodynamics behaviour of honeycomb cellular media', J. Elasticity 60 (2000), 1-17.
3. Dell'Isola, F., Rosa, L. and Woźniak, C., 'A micro-structural continuum modelling compacting fluid-saturated grounds', Acta Mech. 127 (1998) 165-182.
4. Duvaut, G. and Metellus, A.M., 'Homogéneisation d'une plaque mince en flexion des structure périodique et symmetrique', C.R. Acad, Sci. Paris. 283(A) (1976) 947-950.
5. Jȩdrysiak, J., 'Dynamics of thin periodic plates resting on a periodically inhomogeneous Winkler foundation', Arch. Appl. Mech. 69 (1999) 345-356.
6. Jȩdrysiak, J., 'On vibrations of thin plates with one-dimensional periodic structure', Int. J. Eng. Sci. 38(18) (2000) 2023-2043.
7. Jȩdrysiak, J. and Woźniak, C., 'On the elastodynamics of thin microperiodic plates', J. Theor. Appl. Mech. 33 (1995) 337-349.
8. Ka̧czkowski, Z., 'Orthotropic rectangular plates with arbitrary boundary conditions', Arch. Mech. 8(2) (1956) 179-196.
9. Kohn, R.V. and Vogelius, M., 'A new model for thin plates with rapidly varying thickness', Int. J. Solids Struct. 20 (1984) 333-350.
10. Mazurkiewicz, Z., 'Buckling, vibration and bending of a rectangular orthotropic plate resting on a non-homogeneous foundation', Bull. Acad. Polon. Sci. Ser. Sci. Technol. 8(3) (1960) 129-133.
11. Michalak, B., 'Stability of elastic slightly wrinkled plates', Acta Mech. 130 (1998) 111-119.
12. Timoshenko, S. and Woinowky-Krieger, S., Theory of Plates and Shells, McGraw-Hill, New York, 1959.
13. Vlasov, W.Z. and Leontiev, N.N., Balki, Plity i Obolocki na Uprugom Osnovanii, Gos. Izd. Fiz.-Mat. Lit., Moskva, 1960.
14. Wa̧growska, M. and Woźniak, C., 'Macro-modelling of dynamic problems for viscoelastic composite materials', Int. J. Eng. Sci. 35 (1996) 923-932.
15. Wierzbicki, E., 'Nonlinear macro-micro dynamics of laminated structures', J. Theor. Appl. Mech. 33 (1995) 291-307.
16. Wierzbicki, E., Woźniak, C. and Woźniak, M., 'Thermal stresses in elastodynamics of composite materials', Int. J. Eng. Sci. 35 (1996) 187-196.
17. Woźniak, C., 'Macro-dynamics of elastic and visco-elastic microperiodic composites', J. Theor. Appl. Mech. 31 (1993) 763-770.
18. Woźniak, C. and Wierzbicki, E., Averaging Techniques in Thermomechanics of Composite Solids, Wydawnictwo Politechniki Czȩstochowskiej, Czȩstochowa, 2000.