Accurate prediction of three-dimensional free edge stress field in composite laminates using mixed-field multiterm extended Kantorovich method

Dhanesh, N.; Kapuria, S.; Achary, G.G.S.

doi:10.1007/s00707-015-1522-0

Cited by 22 publications

(10 citation statements)

References 55 publications

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“…Becker found closed-form solutions for free-edge effects in cross-ply laminates [72] and Becker and Kress [73] considered the stiffness reduction in laminate coupons due to the free-edge effect. More recent research is due to Mittelstedt and Becker [74], Dhanesh et al [75], and Hajikazemi and Paepegem [76]. We mention this research on flat laminates as an introductory analogy because we did not find a systematic study on free-edge effects of corrugated laminates.…”

Section: Free-edge Effectsmentioning

confidence: 95%

Free-edge effects of corrugated laminates

Filipovic

Kress

2020

Curved and Layered Structures

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Due to their high numerical efficiency, homogenization models are often employed in the analysis of corrugated laminates. They are usually derived assuming periodic behavior in the corrugated direction and generalized plane strain in the out-of-plane direction, which corresponds to the assumption of infinite dimensions of the structure. As a consequence, any influences of edge effects are not mapped, although they can have a significant impact on the mechanical behavior of a given structure. The objective of this manuscript is to investigate the influence of boundary conditions - a combination of free-edges and clamping - on the structural stiffness of corrugated laminates. A total of six load cases are investigated which correspond to the line loads considered in the classical theory of laminated plates. The results of this parameter study allow the identification of several critical loading situations, where free edges can significantly alter structural stiffness. The given investigations hence contribute to the investigation of the validity range of homogenization models.

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Section: Free-edge Effectsmentioning

confidence: 95%

Free-edge effects of corrugated laminates

Filipovic

Kress

2020

Curved and Layered Structures

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“…Dhanesh et al. 17 extended this iterative analytical method to solve free-edge laminate problems, while this approach satisfies all the boundary and interfacial continuity conditions. Wu et al.…”

Section: Introductionmentioning

confidence: 99%

“…Andakhshideh and Tahani 16 developed a 3D elasticity-based solution using the iterative analytical method for determining the free edge stress field in laminates under uniaxial extension, bending, twisting, and thermal loading. Dhanesh et al 17 extended this iterative analytical method to solve freeedge laminate problems, while this approach satisfies all the boundary and interfacial continuity conditions. Wu et al 18 presented a hybrid analysis of the interfacial stresses near the free edges of piezoelectric laminated plates under uniform extension using a state space equation for cross-ply asymmetric piezoelectric laminates.…”

Section: Introductionmentioning

confidence: 99%

Analytic solution of angle-ply laminated plates under extension, bending, and torsion

Hsu

et al. 2019

Journal of Composite Materials

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This paper develops a Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered monoclinic angle-ply laminates under the combined action of extension, bending, and torsion. The present solution satisfies the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the four edge surfaces of the rectangular section, and the interfacial continuity conditions in multilayered laminates. The proposed method only requires the solutions of matrix and eigen equations, regardless of the number or lamination of the layers. The finite element analyses are used to validate the accuracy of the analysis. The analytical solution and the numerical solutions are in excellent agreement.

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“…The limitations of 2D models have resulted in the use of 3D models. The application of 3D Elasticity equations to arbitrary problems is a complex issue, the truth being that no closed form solutions exist for obtaining the stresses at the free edge in general cases [17]. Several analytic approaches to solving the 3D equations of the problem have been proposed and the stress-function-based solution first proposed by Lekhnitskii has been applied on occasion [18,19].…”

Section: Introductionmentioning

confidence: 99%