Selected problems concerning determination of the buckling load of channel section beams and columns

Paszkiewicz, Maria; Kubiak, Tomasz

doi:10.1016/j.tws.2015.03.009

Cited by 97 publications

(60 citation statements)

References 28 publications

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“…6. The critical load results obtained with approximation processes by the Koiter method [5,32] in axial compression tests are given in Fig. 7.…”

Section: Resultsmentioning

confidence: 99%

“…Nonetheless, the determination of approximate critical load is based on the diagram of load in a function of square difference in strains (P-w c 2 method) or in a function of cubic difference in strains (P-w c 3 method). Regarding the discussed methods, the post-critical equilibrium paths P-w c 2 and P-w c 3 are approximated by the linear function [5]. In both methods, the critical load is defined as the point of intersection between the determined approximation line and the vertical axis of the coordinate system of the diagram P = f 2 (ε 1 -ε 2 ) 2 and P = f 3 (ε 1 -ε 2 ) 3 .…”

Section: Experimental Testsmentioning

confidence: 99%

“…The literature reports several methods for determining approximated critical forces in real structures, including Southwell's method, [29] vertical tangent [5], line intersection method [30], inflection point method [5], Tereszowski method [31], P-w c 2 and P-w c 3 methods [5], and the Koiter method [32]. In this study, the critical load of the compressed composite columns is determined by the methodology based on Koiter's theory and the methods P-w c 2 and P-w c…”

Section: Introductionmentioning

confidence: 99%

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Experimental and Numerical Study of the Buckling of Composite Profiles with Open Cross Section under Axial Compression

et al. 2017

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The object of the research are short, thin-walled columns with an open top-hat cross section made of multilayer laminate. The walls of the investigated profiles are made of plate elements. The entire columns are subjected to uniform compression. A detailed analysis allowed us to determine critical forces and post-critical equilibrium paths. It is assumed that the columns are articulately supported on the edges forming their ends. The numerical investigation is performed by the finite element method. The study involves solving the problem of eigenvalue and the non-linear problem of stability of the structure. The numerical analysis is performed by the commercial simulation software ABAQUS®. The numerical results are then validated experimentally. In the discussed cases, it is assumed that the material operates within a linearly-elastic range, and the non-linearity of the FEM model is due to large displacements.

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“…6. The critical load results obtained with approximation processes by the Koiter method [5,32] in axial compression tests are given in Fig. 7.…”

Section: Resultsmentioning

confidence: 99%

Section: Experimental Testsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental and Numerical Study of the Buckling of Composite Profiles with Open Cross Section under Axial Compression

et al. 2017

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“…The study was performed for the critical and weakly postcritical state to define the forces which cause the structure's loss of stability. There are many publications investigating the problem of critical state of thin-walled composite elements with respect to structure stability [[4]- [9], [19], [20], [25], [26], [30], [33]]. …”

Section: Introductionmentioning

confidence: 99%

“…The key aspect was to determine the value of the critical force, which could only be done using some methods of approximation. There are many approximation methods which can be applied to determine the approximate value of critical load, starting from the oldest: the Southwell method [21], the Tereszowski method [29], to the more recent ones -the method of lines intersection [20], [34], tangent vertical [20], [34], inflection point [20], [34], P-w c 2 and P-w c 3 [20], [34] and the Koiter method [20], [31]. The numerical analysis was performed for a linear eigenvalue problem using the minimum potential energy criterion to determine critical load, while the experimental tests involved the application of approximation methods.…”

Section: Introductionmentioning

confidence: 99%

Fem and Experimental Analysis of Thin-Walled Composite Elements Under Compression

Różyło

Wysmulski

Falkowicz

2017

International Journal of Applied Mechanics and Engineering

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Thin-walled steel elements in the form of openwork columns with variable geometrical parameters of holes were studied. The samples of thin-walled composite columns were modelled numerically. They were subjected to axial compression to examine their behavior in the critical and post-critical state. The numerical models were articulately supported on the upper and lower edges of the cross-section of the profiles. The numerical analysis was conducted only with respect to the non-linear stability of the structure. The FEM analysis was performed until the material achieved its yield stress. This was done to force the loss of stability by the structures. The numerical analysis was performed using the ABAQUS® software. The numerical analysis was performed only for the elastic range to ensure the operating stability of the tested thin-walled structures.

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Stability and failure of compressed thin‐walled composite columns using experimental tests and advanced numerical damage models

Różyło

2021

Numerical Meth Engineering

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The current study investigates the stability and failure analysis of thin-walled composite columns with a top-hat and channel cross section, subjected to axial compression. The analyzed structures were made of composite material (carbon fiber reinforced polymer) by autoclave technique. The study included experimental tests on actual specimens and numerical simulations on numerical models using finite element method (in ABAQUS® program).Experimental-numerical analysis was conducted over the full range of loading (until failure phenomenon). Regarding the experimental tests, postbuckling equilibrium paths as well as acoustic emission signals were registered, which directly allowed for comprehensive analysis of failure phenomenon of composite material. In case of numerical simulations, two independent numerical damage models were used. The first one constitutes the progressive failure analysis, considering the damage initiation criteria using Hashin's theory and damage evolution based on the energy criterion. The second one constitutes the cohesive zone model, which was used to simulate failure of composite material caused by delamination phenomenon. Both experimental and numerical results show high agreement. Furthermore, the obtained results reveal an interesting relationship between buckling, postbuckling, and failure phenomenon of the analyzed structures.

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Selected problems concerning determination of the buckling load of channel section beams and columns

Cited by 97 publications

References 28 publications

Experimental and Numerical Study of the Buckling of Composite Profiles with Open Cross Section under Axial Compression

Experimental and Numerical Study of the Buckling of Composite Profiles with Open Cross Section under Axial Compression

Fem and Experimental Analysis of Thin-Walled Composite Elements Under Compression

Stability and failure of compressed thin‐walled composite columns using experimental tests and advanced numerical damage models

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