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A higher‐order shear deformation approach to the mixed‐mode buckling problem in composite laminated beams
Author(s) -
Mittelstedt Siham,
Mittelstedt Christian
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900064
Subject(s) - buckling , structural engineering , finite element method , composite number , shear (geology) , ritz method , materials science , degrees of freedom (physics and chemistry) , mathematics , mathematical analysis , composite material , engineering , physics , boundary value problem , quantum mechanics
This paper presents a semi‐analytical method for the mixed‐mode buckling problem of composite beams, i.e. the interaction between the local buckling modes of the segments of shear deformable symmetrically laminated composite I‐beams. The buckling analysis employs Reddy's third‐order shear deformation theory and the Ritz‐method in conjunction with adequate series expansions for the buckling degrees of freedom wherein the webs and flanges are considered separately and are later on unified by employing Lagrangian multipliers. The results are compared with the buckling loads as obtained by finite element computations, and a very satisfying agreement is found.