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Journal ArticleDOI

Buckling and free vibration of shear-flexible sandwich beams using a couple-stress-based finite element

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TLDR
In this article, the stiffness parameters of a structural web-core sandwich panel are determined by unit cell analysis and an exact general solution to the governing equations of the beam is formulated, and the static shape functions are used to derive consistent linear geometric stiffness and mass matrices.
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This article is published in Composite Structures.The article was published on 2017-04-01. It has received 37 citations till now. The article focuses on the topics: Timoshenko beam theory & Stiffness matrix.

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Journal ArticleDOI

Buckling and vibration behaviour of syntactic foam core sandwich beam with natural fiber composite facings under axial compressive loads

TL;DR: An experimental study of buckling and dynamic response of cenosphere reinforced epoxy composite (syntactic foam) core sandwich beam with sisal fabric/epoxy composite facings under compressive load is presented in this paper.
Journal ArticleDOI

Micropolar modeling approach for periodic sandwich beams

TL;DR: In this article, a micropolar Timoshenko beam formulation is developed and used to model web-core sandwich beams, where the split of the shear forces into symmetric and antisymmetric parts plays a pivotal role.
Journal ArticleDOI

Refined shear deformation theories for laminated composite arches and beams with variable thickness: Natural frequency analysis

TL;DR: In this paper, a higher-order mathematical formulation with applications for the free vibration analysis of arches and beams made of composite materials is presented, in which the displacement field is defined through the arbitrary choice of the maximum order of kinematic expansion.
Journal ArticleDOI

Nonlinear finite element analysis of lattice core sandwich plates

TL;DR: In this paper, a displacement-based, geometrically nonlinear finite element model is developed for lattice core sandwich panels modeled as 2-D equivalent single-layer (ESL), first-order shear deformation theory (FSDT) micropolar plates.
Journal ArticleDOI

Two-scale constitutive modeling of a lattice core sandwich beam

TL;DR: In this article, the constitutive equations for a 1D micropolar Timoshenko beam made of a web-core lattice material are derived assuming strain energy equivalence between the micro-scale unit cell and the macro-scale beam.
References
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Book

Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition

TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Book

Mechanics of laminated composite plates and shells : theory and analysis

J. N. Reddy
TL;DR: In this article, the authors present an analysis of the properties of composite materials using the classical and first-order theories of Laminated Composite Plates and shells, as well as a detailed analysis of their properties.
Book

An Introduction to the Finite Element Method

J. N. Reddy
TL;DR: Second-order Differential Equations in One Dimension: Finite Element Models (FEM) as discussed by the authors is a generalization of the second-order differential equation in two dimensions.
Journal ArticleDOI

Couple stress based strain gradient theory for elasticity

TL;DR: In this paper, an equilibrium relation is developed to govern the behavior of the couples, which constrained the couple stress tensor to be symmetric, and the symmetric curvature tensor became the only properly conjugated high order strain measures in the theory to have a real contribution to the total strain energy of the system.
Journal ArticleDOI

Experiments and theory in strain gradient elasticity

TL;DR: In this paper, a new set of higher-order metrics is developed to characterize strain gradient behaviors in small-scale structures and a strain gradient elastic bending theory for plane-strain beams is developed.
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