A high precision triangular laminated anisotropic cylindrical shell finite element

Lakshminarayana, HV; Viswanath, S

doi:10.1016/0045-7949(78)90101-3

Cited by 12 publications

(2 citation statements)

References 10 publications

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“…A brief account of the scope, effectiveness and limitations in practice of the present method provides a better introduction to the present paper. Lakshminarayana and co-workers [3,4] applied a high precision triangular laminated composite cylindrical shell element to study the combined effect of curvature and material orthotropy on the stress field around a circular hole in a cylindrical shell under axial tension. A thorough study of the effect of material orthotropy on the state of stress around a circular cutout in a filament wound fibre reinforced plastic pres-sure vessel was also carried out [5].…”

Section: Introductionmentioning

confidence: 99%

An Improved Finite Element Model to Study Stress Concentration Around an Elliptical Cutout in Pressure Vessel : Application- Part II

R. Vijayakumar,

G. Ramamurthy,

K.M. Rao

et al. 2023

joast

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The application of finite element method (FEM) to the solution of cutout and inclusion problems in Filament Wound Fibre Reinforced Plastic (FWFRP) pressure vessel is considered. The analysis of pressurised laminated composite shell, which can be regarded as a heterogeneous body consisting of a finite number of orthotropic layers bonded together, with an elliptical hole is carried out. The influence of uniform shear force distribution along the hole boundary is studied. The numerical results of pressurised laminated composite shell with transverse elliptical hole filled by edge bonded elastic cover are also presented. Predicted stress distribution through the thickness of composite shell with cutout/inclusion at critical locations on the hole boundary is presented in graphical form and discussed.

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Section: Introductionmentioning

confidence: 99%

An Improved Finite Element Model to Study Stress Concentration Around an Elliptical Cutout in Pressure Vessel : Application- Part II

R. Vijayakumar,

G. Ramamurthy,

K.M. Rao

et al. 2023

joast

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“…As noted in [1], the first finite element application to laminated anisotropic shells of arbitrary geometry was given by Thompson [2] and dealt with the free vibration of laminated anisotropic shells. Other finite element analyses of laminated anisotropic shells were given by Panda and Natarajan [3], [4], Shivakumar and Krishna Murty [5], Rao [6], Siede and Chang [7] and Lakshminarayana and Viswanath [8]. One of the latest (1986) finite element analysis of multilayered anisotropic shells found in the literature is by Natarajan, Hoa and Sankar [9].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Plate Formulation Including Transverse Shear Effects for Representing Composite Shell Structures

Hamdallah

Engblom

1990

Journal of Reinforced Plastics and Composites

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A finite element formulation for the analysis of thin to moderately thick laminated composite shell structures is presented. A plate type element is developed with shear effects included by relaxing the Kirchhoff-Love hypothesis and prescribing the neutral surface displacements independently from the rotations. The in-plane layer stresses are calculated using the constitutive equations. Once the in-plane stress variation has been obtained, the equilibrium equations are integrated to obtain the transverse shear and normal stresses. Two example problems are considered herein. For symmetric angle-plied or unidirectional winding it has been found that a pressurized cylinder, in addition to expanding radially, also rotates about its axis. This contradicts the assumption that a symmetrically wound cylinder under pressure exhibits axisymmetric deformation; thus a full cylinder model must be analyzed to produce the actual deformation. Laminated circular cylindrical shells are also analyzed with both clamped and simply supported ends in order to observe the action of transverse interlaminar shear and normal stresses. It is confirmed that near a load or structural discontinuity (restrained end), interlaminar stresses of considerable magnitude occur and thus must be taken into account if delamination is to be avoided.

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Anisotropic cylindrical shell element based on discrete Kirchhoff theory

Murthy

Gallagher

1983

Numerical Meth Engineering

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A triangular cylindrical shell element based on discrete Kirchhoff theory is developed. It is a three-node, 27-degrees-of-freedom element using cubic polynomials for the tangential and normal displacement interpolations. The normal rotations are independently interpolated by quadratic polynomials. The formulation is capable of modelling general anisotropy representative of multi-layered, multi-directionally oriented composite construction. The numerical results indicate that the solution for 'displacements and stresses of cylindrical shells converge monotonically and rapidly to those based on deep shell theory.

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A high precision triangular laminated anisotropic cylindrical shell finite element

Cited by 12 publications

References 10 publications

An Improved Finite Element Model to Study Stress Concentration Around an Elliptical Cutout in Pressure Vessel : Application- Part II

An Improved Finite Element Model to Study Stress Concentration Around an Elliptical Cutout in Pressure Vessel : Application- Part II

Finite Element Plate Formulation Including Transverse Shear Effects for Representing Composite Shell Structures

Anisotropic cylindrical shell element based on discrete Kirchhoff theory

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