An efficient higher-order plate theory for laminated composites

Cho, Maenghyo; Parmerter, R. R.

doi:10.1016/0263-8223(92)90067-m

Cited by 203 publications

(76 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mathematical involvement in these plate theories is quite heavy and the solution becomes quite expensive in a multilayered plate, as the unknowns are dependent on number of layers. There is another class of layer wise plate theories [1,6,7,9,14,15,22] where the unknowns of different planes are expressed in terms of those of a particular plane using the condition of shear stress continuity at the layer interfaces. The number of unknowns is reduced in these plate theories considerably [1,6,7,9,14,15,22] .…”

Section: Introductionmentioning

confidence: 99%

“…The unknowns at the different interfaces are subsequently expressed in terms of those at the reference plane through satisfaction of transverse shear stress continuity at the layer interfaces. A further improvement in this direction is due to Di Sciuva [15], Bhaskar et al [1], Cho et al [6,7] and some other investigators who considered the variation of in-plane displacements to be a superposition of a piecewise linearly varying field on an overall higher order variation. Carrera [2] and Demasi [11] considered higher order terms in the displacement field, using Mukarmi's [21] zig-zag function and assumptions for transverse stresses brings about a large number of solution variables.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An efficient C0 FE model for the analysis of composites and sandwich laminates with general layup

Singh

Chakrabarti

Bera

et al. 2011

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

A C0 continuous finite element model is developed to model the refined higher order shear deformation theory. The proposed element is an upgraded version of an element based on higher order shear deformation theory. The C 0 continuity of the present element is compensated in the stiffness matrix calculations. The computational efficiency is achieved by the C 0 continuous finite element model by satisfying the inter-laminar shear stress continuity at the interfaces and zero transverse shear stress conditions at plate top and bottom. The performance of the upgraded element is illustrated with many numerical examples.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An efficient C0 FE model for the analysis of composites and sandwich laminates with general layup

Singh

Chakrabarti

Bera

et al. 2011

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

show abstract

“…A further improvement in this direction is due to Cho and Parmerter (1992), Di Sciuva (1992), Bhaskar and Varadan (1989), and some other investigators who considered the variation of in-plane displacements to be a superposition of a piecewise linearly varying field on an overall globally higher order variation. Carrera (2004) and Demasi (2005) considered higher order terms in the displacement field, using Mukarmi's (Mukarmi, 1986) zigzag function and the assumptions for interlaminar continuity of transverse stresses.…”

Section: Introductionmentioning

confidence: 99%

A New C0 2D Fe Model Based on Improved Higher Order Zigzag Theory for the Analysis of Soft Core Sandwich Plate

Khandelwal¹,

Chakrabarti²,

Bhargava³

2013

International Journal of Applied Mechanics and Engineering

View full text Add to dashboard Cite

An efficient C 0 continuous finite element (FE) model is developed based on a combined theory (refine higher order shear deformation theory (RHSDT) and least square error (LSE) method) for the static analysis of a soft core sandwich plate. In this (RHSDT) theory, the in-plane displacement field for the face sheets and the core is obtained by superposing a global cubically varying displacement field on a zig-zag linearly varying displacement field with a different slope in each layer. The transverse displacement assumes to have a quadratic variation within the core and it remains constant in the faces beyond the core. The proposed model satisfies the condition of transverse shear stress continuity at the layer interfaces and the zero transverse shear stress condition at the top and bottom of the sandwich plate. The nodal field variables are chosen in an efficient manner to circumvent the problem of C 1 continuity requirement of the transverse displacements. In order to calculate the accurate through thickness transverse stresses variation, the Least Square Error (LSE) method has been used at the post processing stage. The proposed combined model (RHSDT and LSE) is implemented to analyze the laminated composites and sandwich plates. Many new results are also presented which should be useful for future research.

show abstract

“…The third-order shear deformation theories produce discontinuous transverse shear stresses at the interfaces of layers. To overcome this discontinuity, several researchers developed zigzag plate theories (e.g., Di Sciuva, 7) Murakami, 8) Toledano and Murakami, 9) and Cho and Parmerter 10,11) ). Their results are fairly improved as compared to exact three-dimensional elasticity solutions.…”

Section: Introductionmentioning

confidence: 99%

A New Exponential Plate Theory for Laminated Composites under Cylindrical Bending

Park

Lee

2003

Trans. Japan Soc. Aero. S Sci.

View full text Add to dashboard Cite

This paper presents a new laminated plate theory for cylindrical bending of laminated plates. The new theory assumes that inplane displacements vary exponentially through plate thickness. The accuracy of the new theory is examined for symmetric/antisymmetric cross-ply, angle-ply and unsymmetric laminates under cylindrical bending. The numerical results show that the new theory provides displacements and stresses very accurately as compared to three-dimensional elasticity solutions. In particular, transverse shear stresses obtained from constitutive equations are predicted very accurately. The results are compared with those obtained from the first-order shear deformation plate theory and the classical laminated plate theory.

show abstract

An efficient higher-order plate theory for laminated composites

Cited by 203 publications

References 17 publications

An efficient C0 FE model for the analysis of composites and sandwich laminates with general layup

An efficient C0 FE model for the analysis of composites and sandwich laminates with general layup

A New C0 2D Fe Model Based on Improved Higher Order Zigzag Theory for the Analysis of Soft Core Sandwich Plate

A New Exponential Plate Theory for Laminated Composites under Cylindrical Bending

Contact Info

Product

Resources

About