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A Homogenization Based Theory for Laminated and Sandwich Beams

Hansen, Jorn S. / Kennedy, Graeme / Almeida, Sergio F.M.

Abstract A theory for laminated and sandwich beams is developed based on far-field stress and strain solutions called Fundamental State Solutions. Through-thickness stress and strain moments of the Fundamental Solutions are used to obtain homogenized axial, flexural and shear stiffness as well as a shear-strain moment correction. A sequence of beam models with similarity to the Timoshenko model are obtained. Excellent agreement is shown for all stress and strain components when compared to accurate two-dimensional finite element results.

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A Homogenization Based Theory for Laminated and Sandwich Beams

Hansen, Jorn S. / Kennedy, Graeme / Almeida, Sergio F.M.

Abstract A theory for laminated and sandwich beams is developed based on far-field stress and strain solutions called Fundamental State Solutions. Through-thickness stress and strain moments of the Fundamental Solutions are used to obtain homogenized axial, flexural and shear stiffness as well as a shear-strain moment correction. A sequence of beam models with similarity to the Timoshenko model are obtained. Excellent agreement is shown for all stress and strain components when compared to accurate two-dimensional finite element results.

A Homogenization Based Theory for Laminated and Sandwich Beams

Hansen, Jorn S. / Kennedy, Graeme / Almeida, Sergio F.M.

Abstract A theory for laminated and sandwich beams is developed based on far-field stress and strain solutions called Fundamental State Solutions. Through-thickness stress and strain moments of the Fundamental Solutions are used to obtain homogenized axial, flexural and shear stiffness as well as a shear-strain moment correction. A sequence of beam models with similarity to the Timoshenko model are obtained. Excellent agreement is shown for all stress and strain components when compared to accurate two-dimensional finite element results.

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Title:

A Homogenization Based Theory for Laminated and Sandwich Beams

Contributors:

Hansen, Jorn S. (author) / Kennedy, Graeme (author) / Almeida, Sergio F.M. (author)

Published in:

Sandwich Structures 7: Advancing with Sandwich Structures and Materials ; 221-230

Publication date:

2005-01-01

Size:

10 pages

ISBN:

978-1-4020-3848-8 , 978-1-4020-3444-2

DOI:

https://doi.org/10.1007/1-4020-3848-8_22

Type of media:

Article/Chapter (Book)

Type of material:

Electronic Resource

Language:

English

Keywords:

sandwich beams , homogenization , beam theory Engineering , Building Construction , Engineering, general , Engine Technology , Computational Intelligence , Theoretical and Applied Mechanics , Continuum Mechanics and Mechanics of Materials

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