Analysis and Design for the Moderately Deep Postbuckling Behavior of Composite Plates

Wu, Zhangming; Raju, Gangadharan

doi:10.2514/1.c033875

Cited by 9 publications

(2 citation statements)

References 33 publications

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“…The evaluation of such the geometrically nonlinear response of thin‐walled structures under thermal–mechanical effects requires general, efficient, and robust numerical methods. The closed‐form and/or analytical methods are cumbersome to such problems, 18‐22 while the discretization technique, generally the nonlinear finite element (FE) method, is the most common tool for geometrically nonlinear problems 23 . The nonlinear systems of equations are solved in an incremental‐iterative manner using the Newton–Raphson method and its variants 24‐26 .…”

Section: Introductionmentioning

confidence: 99%

The reformulated Koiter–Newton method for thermal–mechanical buckling and postbuckling analysis of thin‐walled structures

Liang

2022

Numerical Meth Engineering

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The reduced-order modeling method, termed as the Koiter-Newton method, is reformulated to be applicable for geometrically nonlinear thermal-mechanical analysis of thin-walled structures. The thermal load is treated as the independently unchanged load corresponding to the initial temperature field. The internal force space is expanded using the mechanical load, the thermal load, and the predefined perturbation loads. The thermal-mechanical reduced-order model is constructed using the first to fourth-order derivatives of strain energy with thermal effects in terms of the degrees of freedom (DOFs). An additional DOF related to the thermal load appears in the construction of reduced-order model based on the novel Koiter theory. The path-following scheme is proposed to make the method able to trace the entire geometrically nonlinear thermoelastic response.A much larger step size can be achieved benefiting from the favorable prediction of the reduced-order model, compared to the classical Newton-like methods. Both the temperature-independent and temperature-dependent material properties are considered. The thermal-mechanical buckling and postbuckling behaviors obtained by the proposed method are validated and discussed using various numerical examples.

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Section: Introductionmentioning

confidence: 99%

The reformulated Koiter–Newton method for thermal–mechanical buckling and postbuckling analysis of thin‐walled structures

Liang

2022

Numerical Meth Engineering

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“…Pandey and Sherbourne 36 deduced an analytical formula to calculate the nonlinear performance of compressed composite plate and found that only optimizing the postbuckling performance would lead to the decrease of buckling load. The approximate solution of the initial postbuckling response was achieved by Wu et al, 37 followed by a two‐stage optimization strategy using the lamination parameters as the design variables. An asymptotic numerical method (ANM) based on the perturbation theory was applied by Raju et al 38 to achieve the nonlinear buckling optimization for variable stiffness composite laminates under axial compression.…”

Section: Introductionmentioning

confidence: 99%

A novel reduced‐order modeling method for nonlinear buckling analysis and optimization of geometrically imperfect cylinders

Liang

Hao

Wang

et al. 2021

Numerical Meth Engineering

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A novel reduced-order modeling method with two-step strategy is proposed for nonlinear buckling analysis of axially compressed thin-walled cylinder. The nonlinear response analysis up until the buckling point is achieved quickly by solving the small-scale reduced-order model, accounting for the geometrically nonlinear behavior. The buckling point is determined accurately using an efficient buckling detection algorithm, where the stiffness information of the reduced-order model is extrapolated based on an eigenvalue analysis until a singular tangent stiffness is obtained. Then, the nonlinear buckling fiber angle optimization scheme of laminated composite cylinders is constructed in the MATLAB's MultiStart scheme with gradient-based algorithms. The proposed two-step reduced-order modeling strategy is adopted to calculate the nonlinear buckling objection function at a much lower cost. Numerical results for axially compressed cylinders with various geometric imperfection fields demonstrate the good performance of the proposed strategy in both nonlinear buckling analyses and lamination optimizations.

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Designing of Smooth Composite Panels Providing Stability and Strength at Postbuckling Behavior

Mitrofanov

Osman

2022

Mech Compos Mater

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Analysis and Design for the Moderately Deep Postbuckling Behavior of Composite Plates

Abstract: General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms

Cited by 9 publications

References 33 publications

The reformulated Koiter–Newton method for thermal–mechanical buckling and postbuckling analysis of thin‐walled structures

The reformulated Koiter–Newton method for thermal–mechanical buckling and postbuckling analysis of thin‐walled structures

A novel reduced‐order modeling method for nonlinear buckling analysis and optimization of geometrically imperfect cylinders

Designing of Smooth Composite Panels Providing Stability and Strength at Postbuckling Behavior

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