Free-vibration analysis of laminated shells via refined MITC9 elements

Cinefra, Maria

doi:10.1080/15376494.2015.1121556

Cited by 28 publications

(3 citation statements)

References 62 publications

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“…To contrast the membrane and shear locking of thin shells, a specific interpolation strategy according to MITC method is used to derive the strain components on the nine-node shell element, and the corresponding interpolation points (tying points) are illustrated in previous authors' works related to the use of the MITC9 element based on the CUF [57][58][59][60].…”

Section: Refined Lw Models Based On Legendre Polynomialsmentioning

confidence: 99%

Variable kinematic shell elements for composite laminates accounting for hygrothermal effects

Cinefra

Petrolo

et al. 2017

Journal of Thermal Stresses

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This paper presents advanced shell models for the steady state hygrothermal analysis of composite laminates. The Carrera Unified Formulation is used to derive refined models that include both Layer-Wise (LW) and Equivalent Single Layer (ESL) models. The governing equations are derived from the Principle of Virtual Displacement (PVD) taking into account thermal and hygroscopic effects. The geometrical relations for the exact cylindrical geometry are here considered. Through-the-thickness variations of temperature and moisture concentration are calculated by solving the Fourier equation and the Fick law, respectively. The Mixed Interpolation of Tensorial Component (MITC) method is applied to a ninenode shell element to contrast the membrane and shear locking phenomena. Simply-supported cross-ply cylindrical shells with anti-symmetrical lamination subjected to bisinusoidal thermal/hygroscopic loads are analyzed considering various thickness/curvature ratios. Results obtained with assumed linear and calculated temperature/hygroscopic profiles are presented. Variable kinematics are compared regarding both accuracy and computational costs. The results show that all the kinematics can approximate the transverse shear stress distribution through the thickness with satisfactory accuracy when sufficient expansion terms are adopted. In some cases, miscellaneous expansions can lead to significant reductions in computational costs. The results here presented can be used as benchmark solutions for future works.

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Section: Refined Lw Models Based On Legendre Polynomialsmentioning

confidence: 99%

Variable kinematic shell elements for composite laminates accounting for hygrothermal effects

Cinefra

Petrolo

et al. 2017

Journal of Thermal Stresses

Self Cite

View full text Add to dashboard Cite

show abstract

“…To contrast the shear locking of thin plates, a specific interpolation strategy according to MITC method is used to derive the strain components on the nine-node element, and the corresponding interpolation points (tying points) are illustrated in previous authors' works related to the use of the MITC9 element based on the CUF [49][50][51][52].…”

Section: Mitc9 Finite Element and Governing Equationsmentioning

confidence: 99%

Hygrothermal analysis of multilayered composite plates by variable kinematic finite elements

Cinefra

Petrolo

et al. 2017

Journal of Thermal Stresses

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Advanced plate models with variable kinematics for steady state hygrothermal analysis of composite laminates are proposed. The refined models discussed include both Layer-Wise (LW) and Equivalent Single Layer (ESL) models, and the Carrera Unified Formulation (CUF) is used. The Mixed Interpolation of Tensorial Component (MITC) method is applied to a nine-node element to contrast the shear locking phenomena. The governing equations are derived from the Principle of Virtual Displacement (PVD) taking into account elastic mechanical, thermal and hygroscopic effects. Through-the-thickness variations of temperature and moisture concentration are calculated by solving the Fourier equation and the Fick law, respectively. Cross-ply plates with symmetrical lamination and simply supported edges subjected to bisinusoidal thermal/hygroscopic loads are analyzed considering various thickness ratios. Results obtained with assumed linear and calculated temperature/hygroscopic profiles are compared. Variable kinematics with a variety of thickness functions are compared regarding both accuracy and computational costs. The results show that all the kinematics proposed can approximate the transverse shear stress distribution through the thickness with satisfactory accuracy when sufficient expansion terms are adopted. In some cases, miscellaneous expansions can lead to significant reductions in computational costs. The results here presented can be used as benchmark solutions for future works.

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“…Thus, it provides accuracy and calculation efficiency in obtaining linear and nonlinear structural analysis. In the literature, CUF is used to solve many structural problems with different linear and nonlinear material properties [30][31][32][33][34][35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions

2021

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In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite element method to determine the mechanical effect. The Carrera-Unified formulation (CUF) is used to solve nonlinear, low or high order kinematic refined structure theories for finite beam elements. In the study, displacement area and stress distributions of composite structures with different angles and functionally graded (FG) structures are presented for Lagrange polynomial expansions. The results show the accuracy and computational efficiency of the method used and give confidence for new research.

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Free-vibration analysis of laminated shells via refined MITC9 elements

Cited by 28 publications

References 62 publications

Variable kinematic shell elements for composite laminates accounting for hygrothermal effects

Variable kinematic shell elements for composite laminates accounting for hygrothermal effects

Hygrothermal analysis of multilayered composite plates by variable kinematic finite elements

Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions

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