Localised formulations for thick sandwich laminated and composite structures

• Published in: Computational mechanics Vol. 22; no. 3; pp. 211 - 224
• Main Authors: DA SILVA, L. A. P. S, SANTOS, J. M. C
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer 01.09.1998; Berlin Springer Nature B.V
• Subjects: Amplitude modulation; Amplitudes; Buckling; Composite structures; Differential equations; Elastic foundations; Elasticity; Exact sciences and technology; Formulations; Fundamental areas of phenomenology (including applications); Perturbation methods; Physics; Postbuckling; Potential energy; Sandwich panels; Sandwich structures; Solid mechanics; Static buckling and instability; Structural and continuum mechanics; Energy method; Mode coupling; Stratified material; Sandwich structure; Potential function; Thick shell; Modeling; Composite material; Postbuckling; Beam(mechanics); Perturbation method; Multiscale method; Variational calculus; Non linear effect; Buckling; Elastic foundations
• ISSN: 0178-7675; 1432-0924
• DOI: 10.1007/s004660050355

A “sandwich” panel under axial compressive loading is studied over its post-buckling range. Alternative formulations were developed to cover solutions other than the deflection shape given by the classical Rayleigh-Ritz analysis. General elasticity principles are used to derive the total potential energy function in terms of the displacement field. Given a constant modal amplitude displacement field, which is introduced in the total potential energy function, the results are discussed having as background models studied earlier. Techniques for the analysis of localized solutions are presented with reference to the study of the beam on nonlinear elastic foundation. The concepts of localization are introduced by using dynamical analogy and the double scale perturbation method and applied to the sandwich panel, to derive the governing amplitude modulation equations. The resulting formulations are discussed using some examples, and by solving analytical and numerically the amplitude differential equations.