Bending of cross-ply laminated composites: An accurate and efficient plate theory based upon models of Lekhnitskii and Ren

Stürzenbecher, Reinhard; Hofstetter, Karin

doi:10.1016/j.compstruct.2010.09.020

Cited by 23 publications

(26 citation statements)

References 23 publications

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“…From the theoretical viewpoint, Sturzenbecher and Hofstetter [2] and Sturzenbecher et al [4] applied 2D and quasi-3D approaches to several CLT laminate lay-ups of three to seven layers and different thickness to width ratios from 0.25 to 0.025 under various transverse loading conditions, comparing the accuracy of each. 2D theories such as CPT, First order Shear Deformation Theory (FSDT) and more advanced theories as outlined in Ren [14] were applied.…”

Section: Experimental and Theoretical Investigations For Cltmentioning

confidence: 99%

“…However, the focussed 2D approaches had limitations: for example, the effect of the transverse normal stress (s z ) is neglected and the deflection (w) is assumed constant across the thickness of the plate. Although in [2,4], the Pagano solution was defined as an exact solution, it is still considered as a quasi-3D solution as it did not include the normal transverse stress in the equilibrium equation. Note here that the term 'exact solution' refers to a solution that captures the entire physics of the problem within the context of an idealised, perfectly elastic material [16].…”

Section: Experimental and Theoretical Investigations For Cltmentioning

confidence: 99%

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Structural behaviour of cross-laminated timber panels by the state space approach

Albostami¹,

Cunningham

2017

Int. J. CMEM

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Over the last few years, Cross-Laminated Timber (CLT) panels have become increasingly popular in many structural applications. The growth in CLT uptake by the construction sector is likely to continue in line with the pressing need for sustainable construction. Although current design methods exist for CLT, often these have limits of applicability. In order to gain upmost efficiency, there is a need for improved analytical methods to fully determine the structural behaviour of CLT. In this article, CLT panels will be investigated as a novel application of the State Space Approach (SSA). As CLT is a laminated composite panel, the 3D analytical approach provided by the SSA is highly applicable. Comparison with existing experimental results for different CLT panels are explored for simply supported orthotropic CLT panels under different types of loading. The effect of the plate thickness on displacements and stresses is described quantitatively. The results demonstrate the capability of the SSA method to capture the nonlinear distribution of the stresses through the depth of the plates over a range of thicknesses, thus offering an improved understanding of CLT structural behaviour.

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Section: Experimental and Theoretical Investigations For Cltmentioning

confidence: 99%

Section: Experimental and Theoretical Investigations For Cltmentioning

confidence: 99%

Structural behaviour of cross-laminated timber panels by the state space approach

Albostami¹,

Cunningham

2017

Int. J. CMEM

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“…In the last decades, composite structures and materials have received an increased interest in many industries such as the aerospace, automotive, biomedical, architectural, mechanical, and civil sectors [1], due to their high mechanical performances. In particular, micro/nano-scale mechanical structures usually feature a characteristic size of micron or submicron order, e.g., micro/nano-beams, and micro-nano-cylinders, largely used in micro-and nano-electromechanical devices (MEMS and NEMS).…”

Section: Introductionmentioning

confidence: 99%

A Modified Couple Stress Elasticity for Non-Uniform Composite Laminated Beams Based on the Ritz Formulation

et al. 2020

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Due to the large application of tapered beams in smart devices, such as scanning tunneling microscopes (STM), nano/micro electromechanical systems (NEMS/MEMS), atomic force microscopes (AFM), as well as in military aircraft applications, this study deals with the vibration behavior of laminated composite non-uniform nanobeams subjected to different boundary conditions. The micro-structural size-dependent free vibration response of composite laminated Euler–Bernoulli beams is here analyzed based on a modified couple stress elasticity, which accounts for the presence of a length scale parameter. The governing equations and boundary conditions of the problem are developed using the Hamilton’s principle, and solved by means of the Rayleigh–Ritz method. The accuracy and stability of the proposed formulation is checked through a convergence and comparative study with respect to the available literature. A large parametric study is conducted to investigate the effect of the length-scale parameter, non-uniformity parameter, size dimension and boundary conditions on the natural frequencies of laminated composite tapered beams, as useful for design and optimization purposes of small-scale devices, due to their structural tailoring capabilities, damage tolerance, and their potential for creating reduction in weight.

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“…The continuity conditions of transverse shear stresses at interfaces and the conditions of zero transverse shear stresses on the upper and lower surfaces were also considered. The bending analysis of laminated composite plates under bisinusoidal loading was done by Stürzenbecher and Hofstetter (2011). In their theory, by using an equivalent single layer plate theory, the transverse shear strains jumped at the layer interfaces, but transverse shear stresses were continuous and the normal stress was ignored.…”

Section: Introductionmentioning

confidence: 99%

Improved high-order bending analysis of double curved sandwich panels subjected to multiple loading conditions

Fard

Livani

Veisi

et al. 2014

Lat. Am. j. solids struct.

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For the first time, the bending analysis of a double curved sandwich panel was presented which was subjected to point load, uniform distributed load on a patch, and harmonic distributed loads and was based on a new improved higher order sandwich panel theory. Since the cross-sectional warping was accurately modeled by this theory, it did not require any shear correction factor. Also, the present analysis incorporated trapezoidal shape factor (the 1+z/R terms) of a curved panel element. Geometry was used for the consideration of different radii curvatures of the face sheets, while the core was unique. Unlike most of other reference works, the core can have non-uniform thickness. The governing equations were derived by the principle of minimum potential energy. The effects of types of boundary conditions, types of applied loads, core to panel, and radii curvatures ratios on the bending response were also studied.

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Bending of cross-ply laminated composites: An accurate and efficient plate theory based upon models of Lekhnitskii and Ren

Cited by 23 publications

References 23 publications

Structural behaviour of cross-laminated timber panels by the state space approach

Structural behaviour of cross-laminated timber panels by the state space approach

A Modified Couple Stress Elasticity for Non-Uniform Composite Laminated Beams Based on the Ritz Formulation

Improved high-order bending analysis of double curved sandwich panels subjected to multiple loading conditions

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