Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations

Mansouri, M.H.; Shariyat, M.

doi:10.1016/j.compositesb.2015.08.030

Cited by 53 publications

(11 citation statements)

References 59 publications

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“…While the early and subsequent years of auxetic research has been performed on micromechanical modeling to understand the structure–property‐processing relationships that give rise to auxetic behavior in bulk solids, there has been an increasing trend toward effort to comprehend the effect of auxeticity on membranes, rods, beams, shells, and plates . In the case of plates, the effect of material auxeticity has been investigated on problems of the following mechanical nature: a) static, b) dynamic, c) thermoelasticity and/or thermal stresses, d) instability, e) first‐order and higher‐order shear deformation, as well as f) plates of unconventional shapes …”

Section: Introductionmentioning

confidence: 99%

An Accurate Design Equation for the Maximum Deflection in a Class of Auxetic Sectorial Plates

Lim

2017

Physica Status Solidi (b)

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Auxetic materials are solids that exhibit negative Poisson's ratio. The effect of material auxeticity (i.e., negativity of Poisson's ratio) is investigated herein on the maximum deflection of sectorial plates with Simply‐Supported straight edges and Free curve edge (SSF). To aid the designer, an accurate and conveniently executable semi‐empirical model has been developed herein, which is valid for the entire range of Poisson's ratio of isotropic solids and for the plate's sectorial angle from 30 to 90 degrees. Results from exact solution reveal that the maximum deflection reduces sharply with the reduction of Poisson's ratio from positive to mildly negative, but deflection reduction is marginal when the sectorial plate's Poisson's ratio changes from moderately negative to highly negative value. It is therefore suggested that (a) the use of auxetic materials is useful to limit the extent of SSF sectorial plate deflection, and that (b) the use of the developed semi‐empirical model herein as a design equation gives greatly simplified but highly accurate maximum deflection prediction for SSF plates made from both conventional (positive Poisson's ratio) and auxetic (negative Poisson's ratio) materials.

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Section: Introductionmentioning

confidence: 99%

An Accurate Design Equation for the Maximum Deflection in a Class of Auxetic Sectorial Plates

Lim

2017

Physica Status Solidi (b)

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“…On the other hand, with the growing applications of auxetic materials in different industries, developing multi-scale models for design and capturing the non-linear static and dynamic responses of the auxetic laminates under various loading scenarios is critical, when related to the structural design. A series of work has been dedicated to the study of composite beams, in particular, investigations have been carried out on their static and dynamic behavior [ 23 , 24 , 25 , 26 ]. However, the value of NPRs (ranging from −0.2 to −1) is not for any particular composite material in real engineering, but is a hypothetical value in a model analysis.…”

Section: Introductionmentioning

confidence: 99%

Geometric Non-Linear Analysis of Auxetic Hybrid Laminated Beams Containing CNT Reinforced Composite Materials

et al. 2020

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In the current work, a novel hybrid laminate with negative Poisson’s ratio (NPR) is developed by considering auxetic laminate which is composed of carbon nanotube-reinforced composite (CNTRC) and fiber-reinforced composite (FRC) materials. The maximum magnitude of out-of-plane NPR is identified in the case of (20 F/20 C/−20 C/20 C) S laminate as well. Meanwhile, a method for the geometric non-linear analysis of hybrid laminated beam with NPR including the non-linear bending, free, and forced vibrations is proposed. The beam deformation is modeled by combining higher-order shear-deformation theory (HSDT) and large deflection theory. Based on a two-step perturbation approach, the asymptotic solutions of the governing equations are obtained to capture the linear and non-linear frequencies and load-deflection curves. Moreover, a two-step perturbation methodology in conjunction with fourth-order Runge–Kutta method is employed to solve the forced-vibration problem. Several key factors, such as CNT distribution, variations in the elastic foundation, and thermal stress, are considered in the exhaustive analysis. Theoretical results for some particular cases are given to examine the geometric non-linearity behavior of hybrid beam with NPR as well as positive Poisson’s ratio (PPR).

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“…[ 65 ] Where structural elements are concerned, investigations have been made on auxetic materials in the form of rods, [ 66–73 ] shells, [ 74–76 ] and especially on plates. [ 77–107 ] However, understanding on the effect of auxeticity on membranes is very few. An early work by Hencky [ 108 ] on the large deflection of circular membranes adopted series summation up to the seventh term but unfortunately the last coefficient was found to contain an error by Campbell, [ 109 ] who then gave the corrected solution.…”

Section: Introductionmentioning

confidence: 99%

Maximum Stresses in Rectangular Auxetic Membranes

Lim

2020

Physica Status Solidi (b)

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Auxetic materials exhibit a negative Poisson's ratio. Herein, the performance of rectangular auxetic membranes, under uniform load, is evaluated in terms of the maximum stress encountered. To facilitate convenient calculation, empirical modeling is conducted on the exact solution to reproduce displacement coefficients that are sufficiently accurate. A dimensionless maximum stress is then introduced to allow the effect from the membrane's Poisson's ratio and aspect ratio to be directly observed. Results reveal that 1) the dimensionless maximum stress reduces monotonically and nonmonotonically for conventional and auxetic membranes, respectively, 2) for the same Poisson's ratio magnitude the stresses in auxetic membranes are lower than those from conventional ones, 3) the optimal Poisson's ratio, on the basis of dimensionless maximum stress minimization, falls within the negative range, and 4) the dimensionless maximum stress minimization is especially effective for square membranes as well as very long and narrow membranes. It is therefore recommended that material auxeticity be taken into account-alongside geometrical and other material properties-in designing membranes and highly compliant very thin plates.

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Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations

Cited by 53 publications

References 59 publications

An Accurate Design Equation for the Maximum Deflection in a Class of Auxetic Sectorial Plates

An Accurate Design Equation for the Maximum Deflection in a Class of Auxetic Sectorial Plates

Geometric Non-Linear Analysis of Auxetic Hybrid Laminated Beams Containing CNT Reinforced Composite Materials

Maximum Stresses in Rectangular Auxetic Membranes

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