scholarly journals Microarchitecture-dependent nonlinear bending analysis for cellular plates with prismatic corrugated cores via an anisotropic strain gradient plate theory of first-order shear deformation

2021 ◽  
Vol 236 ◽  
pp. 112117
Author(s):  
Jalal Torabi ◽  
Jarkko Niiranen
Keyword(s):  
Shear Deformation ◽  
Strain Gradient ◽  
Plate Theory ◽  
Nonlinear Bending ◽  
Bending Analysis ◽  
First Order ◽  
Anisotropic Strain ◽  
Gradient Plate

Enhanced First-Order Shear Deformation Theory for Laminated and Sandwich Plates

2005 ◽  
Vol 72 (6) ◽  
pp. 809-817 ◽  
Author(s):  
Jun-Sik Kim ◽  
Maenghyo Cho
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Plate Theory ◽  
Three Dimensional ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Laminated Plates ◽  
Sandwich Plates ◽  
First Order ◽  
Transverse Shear Strains

A new first-order shear deformation theory (FSDT) has been developed and verified for laminated plates and sandwich plates. Based on the definition of Reissener–Mindlin’s plate theory, the average transverse shear strains, which are constant through the thickness, are improved to vary through the thickness. It is assumed that the displacement and in-plane strain fields of FSDT can approximate, in an average sense, those of three-dimensional theory. Relationship between FSDT and three-dimensional theory has been systematically established in the averaged least-square sense. This relationship provides the closed-form recovering relations for three-dimensional variables expressed in terms of FSDT variables as well as the improved transverse shear strains. This paper makes two main contributions. First an enhanced first-order shear deformation theory (EFSDT) has been developed using an available higher-order plate theory. Second, it is shown that the displacement fields of any higher-order plate theories can be recovered by EFSDT variables. The present approach is applied to an efficient higher-order plate theory. Comparisons of deflection and stresses of the laminated plates and sandwich plates using present theory are made with the original FSDT and three-dimensional exact solutions.

Dynamic Deformation of Orthotropic Cylinders

1989 ◽  
Vol 111 (2) ◽  
pp. 97-101 ◽  
Author(s):  
G. Cederbaum ◽  
R. A. Heller
Keyword(s):  
Shear Deformation ◽  
Dynamic Deformation ◽  
Plate Theory ◽  
Longitudinal Direction ◽  
Sine Wave ◽  
Inertia Effects ◽  
First Order ◽  
Dependent Part ◽  
Orthotropic Shells ◽  
Line Loads

The theory of thick orthotropic shells is used here to analyze a cylinder subjected to dynamic loads. The formulation includes shear deformation and rotatory inertia effects similarly to the first-order, shear deformation, laminated plate theory. Dynamic line loads (along the longitudinal direction) and patch loads are considered. The time-dependent part of the load is a step pulse or a half-sine wave.

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