On nonlinear thermal buckling analysis of cylindrical shells

Alijani, Ali; Darvizeh, M.; Darvizeh, A.; Ansari, R.

doi:10.1016/j.tws.2015.06.013

Cited by 25 publications

(4 citation statements)

References 22 publications

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“…A literature review on the thermal post-buckling subject using the FEM shows that the solution of the nonlinear thermal equilibrium equation is performed through two techniques: A) employing a direct iterative procedure without the linearization of the equation and without the determination of the tangent stiffness matrix [31], B) the linearization of the equilibrium equation and the determination of the tangent stiffness matrix [32]. Relations and results in this research work have been represented based on the second one.…”

Section: Thermal Loadingmentioning

confidence: 99%

A Lagrange Multiplier-based Technique within the Nonlinear Finite Element Method in Cracked Columns

Salmalian

Alijani

Azarboni

2020

Period. Polytech. Civil Eng.

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In this research, two energy-based techniques, called Lagrange multiplier and conversion matrix, are applied to involve crack parameters into the non-linear finite element relations of Euler-Bernoulli beams made of functionally graded materials. The two techniques, which divide a cracked element into three parts, are implemented to enrich the secant and tangent stiffness matrices. The Lagrange multiplier technique is originally proposed according to the establishment of a modified total potential energy equation by adding continuity conditions equations of the crack point. The limitation of the conversion matrix in involving the relevant non-linear equations is the main motivation in representing the Lagrange multiplier. The presented Lagrange multiplier is a problem-solving technique in the cracked structures, where both geometrical nonlinearity and material inhomogeneity areas are considered in the analysis like the post-buckling problem of cracked functionally graded material columns. Accordingly, some case-studies regarding the post-buckling analysis of cracked functionally graded material columns under mechanical and thermal loads are used to evaluate the results.

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Section: Thermal Loadingmentioning

confidence: 99%

A Lagrange Multiplier-based Technique within the Nonlinear Finite Element Method in Cracked Columns

Salmalian

Alijani

Azarboni

2020

Period. Polytech. Civil Eng.

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“…Furthermore, it was seen that the natural frequencies of the FG shell with symmetrical distribution are higher than those of the shells with unsymmetrical or uniform distribution of CNTs. Alijani et al investigated the thermal buckling characteristics of cylindrical shells made of isotropic, composite and FGM with imperfections. The geometric imperfections were considered to develop the continuum‐based semi‐analytical model.…”

Section: Buckling and Post‐buckling Responses Of Cylindrical Shell Unmentioning

confidence: 99%

Recent developments in investigation on buckling and post buckling responses of laminated composite shells

Rajamohan

2017

Polymer Composites

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This paper presents the state of art in the field of composite shells with focus on stress analysis, buckling and post-buckling responses under mechanical and thermal loading. Many researchers have investigated the buckling and post-buckling responses of cylindrical, conical, spherical, thin and thick composite shells with single and doubly curved shells under mechanical and thermal loading. From the literature it can be inferred that hydrostatic pressure, axial compression and thermal environment influence the buckling behavior of laminated composite shell significantly. An effort is taken to review the research on buckling and postbuckling responses of cylindrical and conical shaped shells under mechanical and thermal loading and their behavior during buckling and post-buckling conditions. POLYM. COMPOS., 00:000-000,

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“…This is the reason why more efficient alternatives are often considered for practical application. For example, semi‐analytical and Ritz methods were used for post‐buckling analyses of composite plates, 49 cylinders, 50 and variable angle tow (VAT) stiffened plates 51 . If from one side such strategies provide high efficiency within a specific context, on the other hand they are not easily applied to full‐scale structures with general geometries.…”

Section: Introductionmentioning

confidence: 99%

A Koiter reduction technique for the nonlinear thermoelastic analysis of shell structures prone to buckling

Liguori

Magisano

Madeo

et al. 2021

Numerical Meth Engineering

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The multi-modal Koiter method is a reduction technique for estimating quickly the nonlinear buckling response of structures under mechanical loads requiring a fine discretization. The reduced model is based on a quadratic approximation of the full model using a few linear buckling modes and their second order corrections, followed by the projection of the equilibrium equations onto the modal subspace. In this article, the method is reformulated for geometrically nonlinear thermoelastic analyses of shell structures. The starting point is an isogeometric solid-shell discretization with an accurate modeling of thermal strains, temperature-dependent materials and general temperature distributions. The equilibrium path is defined as a displacement versus temperature amplifier curve, while mechanical loads are kept constant. The strain energy nonlinearity with respect to the temperature amplifier is the main obstacle in the definition of an accurate reduced model. This task is achieved by coherent asymptotic expansions in mixed form using independent stress variables at the integration points and accurate linear buckling modes obtained by a two-point mixed eigenvalue problem. Structures made of isotropic and multi-layered composite materials, including variable angle tow laminates, are considered to show the accuracy of the proposed method.

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On nonlinear thermal buckling analysis of cylindrical shells

Cited by 25 publications

References 22 publications

A Lagrange Multiplier-based Technique within the Nonlinear Finite Element Method in Cracked Columns

A Lagrange Multiplier-based Technique within the Nonlinear Finite Element Method in Cracked Columns

Recent developments in investigation on buckling and post buckling responses of laminated composite shells

A Koiter reduction technique for the nonlinear thermoelastic analysis of shell structures prone to buckling

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