A new constitutive model for bimodular laminated structures: Application to free vibrations of conical/cylindrical panels

Patel, B.P.; Khan, Kallol; Nath, Y.

doi:10.1016/j.compstruct.2013.11.008

Cited by 36 publications

(9 citation statements)

References 24 publications

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“…The material properties are given below. In tension: E 1t = 0.617 GPa, E 2t = E 3t = 0.008 GPa, G 12t = G 13t = 0.00262 GPa, G 23t = 0.00223 GPa, ν 12t = ν 23t = ν 13t = 0.475, ρ=970 kg/m 3 In compression: E 1c = 0.0369 GPa, E 2c =E 3c = 0.0106 GPa, G 12c = G 13c =0.0267 GPa, G 23c = 0.00475 GPa, ν 12c = ν 23c = ν 13c = 0.185, ρ=970 kg/m 3 In Table I…”

Section: Resultsmentioning

confidence: 99%

“…Jones bilinear model has been used by all the research work related to analyses of bimodular composite structures. Available literature [1][2][3] developed various material models to assign tensile and compression properties to a bimodular composite laminate; among all the material models, Bert's fiber direction strain governed model has been used by most of the researchers due to it's simplicity.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Equivalent Stiffness Methods for Free Vibration and Bending of Bimodular Composite Laminated Thick Curved Beam

Kumar¹,

Sk²,

Khan³

2019

IJITEE

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In this research work an attempt has been made to analyzed the bending and free vibration behavior of bimodular composite material laminated thick curved beam based on first order shear deformation theory (FSDT). The effect of coupling parameter is more severe in bimodular laminated beam as compare to unimodular laminated beam. Therefore, equivalent stiffness methods (VS and RC) are used to incorporate the effect of all the coupling parameters. In the present analysis uniformly distributed load in transverse direction is considered. Hamilton’s principle is applied to elaborate governing equations from energy functional, and the equations are solved by analytical method. The position of neutral axis, transverse deflection, through the thickness strain distribution and frequencies for positive and negative side bending are presented for different bimodular composite material laminated curved beam. The results are presented for different stacking sequence and geometric parameter of the beam. The non-dimensional neutral surface location, positive and negative side bending deflections and positive and negative half cycle frequencies are having same magnitude for [00 ]4 or [00 /900 ]s laminated curved beam of Material 1 (Aramid Rubber), and for Material 2 (Polyester Rubber) they are not same

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Equivalent Stiffness Methods for Free Vibration and Bending of Bimodular Composite Laminated Thick Curved Beam

Kumar¹,

Sk²,

Khan³

2019

IJITEE

View full text Add to dashboard Cite

show abstract

“…Some materials, such as concrete, polymer and composites, usually exhibit different mechanical responses in tension and compression in that they have different tensile and compressive moduli [1][2][3]. This kind of material is usually called bi-modulus material which has been reported in a lot of literature and monograph.…”

Section: Introductionmentioning

confidence: 98%

A 3D PVP co-rotational formulation for large-displacement and small-strain analysis of bi-modulus materials

Zhang

Dong

Zhang

et al. 2016

Finite Elements in Analysis and Design

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“…When the difference between the tensile and compression moduli of the material is large, it is inappropriate to use a single modulus to calculate and analyze the mechanical response [5]. Reference [6,7] studied the constitutive relations of materials with different tensile and compressive elastic moduli and the fracture mechanical responses thereof. Reference [8][9][10][11] discussed and analyzed the application of the elastic theory of different moduli like tensile and compression moduli in the theories of beam, shell and plate, established elasticity solutions to beams, shells and plates with different tensile and compression moduli under different loads, and proposed a static equilibrium equation and calculation methods for stress and displacement under external force.…”

Section: Introductionmentioning

confidence: 99%

Research on differences and correlation between tensile, compression and flexural moduli of cement stabilized macadam

Yang¹,

Zheng²

2017

Frattura Ed Integrità Strutturale

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In order to reveal the differences and conversion relations between the tensile, compressive and flexural moduli of cement stabilized macadam, in this paper, we develop a new test method for measuring three moduli simultaneously. By using the materials testing system, we test three moduli of the cement stabilized macadam under different loading rates, propose a flexural modulus calculation formula which considers the shearing effect, reveal the change rules of the tensile, compression and flexural moduli with the loading rate and establish the conversion relationships between the three moduli. The results indicate that: three moduli become larger with the increase of the loading rate, showing a power function pattern; with the shear effect considered, the flexural modulus is increased by 47% approximately over that in the current test method; the tensile and compression moduli of cement stabilized macadam are significantly different. Therefore, if only the compression modulus is used as the structural design parameter of asphalt pavement, there will be a great deviation in the analysis of the load response. In order to achieve scientific design and calculation, the appropriate design parameters should be chosen based on the actual stress state at each point inside the pavement structure.

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A new constitutive model for bimodular laminated structures: Application to free vibrations of conical/cylindrical panels

Cited by 36 publications

References 24 publications

Equivalent Stiffness Methods for Free Vibration and Bending of Bimodular Composite Laminated Thick Curved Beam

Equivalent Stiffness Methods for Free Vibration and Bending of Bimodular Composite Laminated Thick Curved Beam

A 3D PVP co-rotational formulation for large-displacement and small-strain analysis of bi-modulus materials

Research on differences and correlation between tensile, compression and flexural moduli of cement stabilized macadam

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