On the role of large cross-sectional deformations in the nonlinear analysis of composite thin-walled structures

Carrera, Erasmo; Pagani, Alfonso; Augello, R.

doi:10.1007/s00419-020-01843-8

Cited by 9 publications

(3 citation statements)

References 45 publications

(49 reference statements)

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“…This geometrical nonlinear solution was validated for isotropic and composite materials [40,41] and, then, further extended to the dynamic [42,43] and 2D plate [44] and shell cases [45,46]. A deep analysis of the role of cross-sectional deformations in the geometrical nonlinear field is proposed in [47,48], for isotropic and composite structures, respectively. In [49], the capability of the NDK approach in the CUF framework was tested for the geometrical nonlinear analysis of thin-walled isotropic structures.…”

Section: Introductionmentioning

confidence: 97%

Large deflection of composite beams by finite elements with node-dependent kinematics

2022

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In this paper, the use of the node-dependent kinematics concept for the geometrical nonlinear analysis of composite one-dimensional structures is proposed With the present approach, the kinematics can be independent in each element node. Therefore the theory of structures changes continuously over the structural domain, describing remarkable cross-section deformation with higher-order kinematics and giving a lower-order kinematic to those portion of the structure which does not require a refinement. In this way, the reliability of the simulation is ensured, keeping a reasonable computational cost. This is possible by Carrera unified formulation, which allows writing finite element nonlinear equilibrium and incremental equations in compact and recursive form. Compact and thin-walled composite structures are analyzed, with symmetric and unsymmetric loading conditions, to test the present approach when dealing with warping and torsion phenomena. Results show how finite element models with node-dependent behave as well as ones with uniform highly refined kinematic. In particular, zones which undergo remarkable deformations demand high-order theories of structures, whereas a lower-order theory can be employed if no local phenomena occur: this is easily accomplished by node-dependent kinematics analysis.

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Section: Introductionmentioning

confidence: 97%

Large deflection of composite beams by finite elements with node-dependent kinematics

2022

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“…In recent years, many studies have been done for large displacements with this approach. For example, the vibration of isotopic and anisotropic structures in studies [43][44][45], and the nonlinear bending and buckling behaviour of anisotropic beams and crust structures in studies [46][47][48] are investigated.…”

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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“…Carrera comprehensively discussed the details of the CUF. 25,26 Carrera et al 27 perused the nonlinear investigation of thin-walled composite structures utilizing CUF. They deduced that the geometrical nonlinear effects are significant, generally when higher-order models are employed.…”

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confidence: 99%

Large deflection of functionally graded carbon nanotube reinforced composite cylindrical shell exposed to internal pressure and thermal gradient

Golmakani

Rahimi

Sadeghian

2021

Math Methods in App Sciences

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In this paper, the nonlinear bending of functionally graded carbon nanotubereinforced composite (FG-CNTRC) shell exposed to thermomechanical loading is perused. It is assumed that the composite shell is reinforced in the longitudinal axis and is also made from a polymeric matrix. Mechanical features of the constituents are obtained based on the modified rule of mixture, and they are considered to be temperature dependent (TD). Using the first-order shear deformation shell theory (FSDT) as well as von K arm an type of geometrical nonlinearity, the equilibrium mathematical relations are derived. Utilizing the dynamic relaxation (DR) procedure combined with the central finite difference method, these mathematical relations are solved in diverse boundary conditions. Finally, roles of carbon nanotube (CNT) distributions, boundary conditions, shell radius, thickness-to-radius ratios, volume fraction of CNTs, mechanical loads, thermal gradient, and temperature dependency are examined on the results. From the numerical results, it can be inferred that in the shell with the CC boundary condition, the FG-O distribution of nanotubes has the maximum deflection, and the lowest deflection belongs to the uniform distribution. However, in the SS boundary condition, the highest and lowest values of deflections are related to V and uniform distributions, respectively.

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On the role of large cross-sectional deformations in the nonlinear analysis of composite thin-walled structures

Cited by 9 publications

References 45 publications

Large deflection of composite beams by finite elements with node-dependent kinematics

Large deflection of composite beams by finite elements with node-dependent kinematics

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

Large deflection of functionally graded carbon nanotube reinforced composite cylindrical shell exposed to internal pressure and thermal gradient

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