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Buckling of shear-deformable orthotropic laminated plates with elastic restraints
https://orcid.org/0000-0002-3400-0506
Abstract This paper presents solutions for the buckling load of rectangular shear-deformable orthotropic laminated plates under uniaxial compression within the framework of Reddy's third-order shear deformation theory (TSDT). The supporting effect of the surrounding structure is represented by laterally attached rotational restraints. First, an analysis approach is presented that uses a simple energy-based formulation in the form of a Rayleigh-quotient for which specific and rather straightforward shape functions for the out-of-plane buckling deformations as well as for the rotational degrees of freedom are employed. Second, a Lévy-type solution is derived for the plate buckling problem in the framework of the TSDT. A comparison of the results with the Lévy-type solution and reference results shows that the analysis approach works with satisfying accuracy, thus making it suitable for engineering analysis of plates with arbitrary thickness especially when computational time and effort are essential factors.
Highlights Buckling analysis of composite plates with elastic restraints in the framework of third-order shear deformation theory. Presentation of an analytical closed-form solution for laminates with asymmetrical boundary conditions at the unloaded edges. Highly efficient computation method for composite plates with arbitrary thickness and pronounced transverse shear deformation.
Buckling of shear-deformable orthotropic laminated plates with elastic restraints
https://orcid.org/0000-0002-3400-0506
Abstract This paper presents solutions for the buckling load of rectangular shear-deformable orthotropic laminated plates under uniaxial compression within the framework of Reddy's third-order shear deformation theory (TSDT). The supporting effect of the surrounding structure is represented by laterally attached rotational restraints. First, an analysis approach is presented that uses a simple energy-based formulation in the form of a Rayleigh-quotient for which specific and rather straightforward shape functions for the out-of-plane buckling deformations as well as for the rotational degrees of freedom are employed. Second, a Lévy-type solution is derived for the plate buckling problem in the framework of the TSDT. A comparison of the results with the Lévy-type solution and reference results shows that the analysis approach works with satisfying accuracy, thus making it suitable for engineering analysis of plates with arbitrary thickness especially when computational time and effort are essential factors.
Highlights Buckling analysis of composite plates with elastic restraints in the framework of third-order shear deformation theory. Presentation of an analytical closed-form solution for laminates with asymmetrical boundary conditions at the unloaded edges. Highly efficient computation method for composite plates with arbitrary thickness and pronounced transverse shear deformation.
Buckling of shear-deformable orthotropic laminated plates with elastic restraints
https://orcid.org/0000-0002-3400-0506
Abstract This paper presents solutions for the buckling load of rectangular shear-deformable orthotropic laminated plates under uniaxial compression within the framework of Reddy's third-order shear deformation theory (TSDT). The supporting effect of the surrounding structure is represented by laterally attached rotational restraints. First, an analysis approach is presented that uses a simple energy-based formulation in the form of a Rayleigh-quotient for which specific and rather straightforward shape functions for the out-of-plane buckling deformations as well as for the rotational degrees of freedom are employed. Second, a Lévy-type solution is derived for the plate buckling problem in the framework of the TSDT. A comparison of the results with the Lévy-type solution and reference results shows that the analysis approach works with satisfying accuracy, thus making it suitable for engineering analysis of plates with arbitrary thickness especially when computational time and effort are essential factors.
Highlights Buckling analysis of composite plates with elastic restraints in the framework of third-order shear deformation theory. Presentation of an analytical closed-form solution for laminates with asymmetrical boundary conditions at the unloaded edges. Highly efficient computation method for composite plates with arbitrary thickness and pronounced transverse shear deformation.
Buckling of shear-deformable orthotropic laminated plates with elastic restraints
Schreiber, Philip (author) / Mittelstedt, Christian (author) / Beerhorst, Matthias (author)
Thin-Walled Structures ; 157
2020-08-11
Article (Journal)
Electronic Resource
English
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