Coupled dynamic buckling of thin-walled composite columns with open cross-sections

Teter, Andrzej; Kołakowski, Zbigniew

doi:10.1016/j.compstruct.2012.08.006

Cited by 11 publications

(6 citation statements)

References 26 publications

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“…They are mainly used in thin-walled shell stiffeners, which are usually designed as open and closed profiles with complex cross-sectional profiles. The scientifically proven beneficial mechanical properties of these materials combined with their low mass make it possible to use these materials in the manufacture of load-bearing elements for structures that are subjected to complex operational load conditions [3][4][5]. Laminates make it possible to shape the mechanical properties of designed components in terms of their ability to carry a specified type of load [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study of Crack Propagation in the Tensile Composite Plate with the Open Hole

Wysmulski¹

2023

Adv. Sci. Technol. Res. J.

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In this study, the thin-walled plate with the central open hole made of carbon-epoxy composite was investigated. The plate was tested in tension to investigate the mechanism of crack formation in the composite structure. The studies were carried out using two individual methods: experimental and numerical. In the experiment test, load was measured as the function of plate elongation. The Plate elongation was analysed using the Aramis optical noncontact measurement system. In the numerical study, the FEM model reproducing the experimental conditions was developed in the Abaqus software. The cracking process was modelled using the XFEM method (extended finite element method). This procedure allowed the of the composite to be examined over the full range of the tensile load. The behaviour of the plate with a circular open hole was investigated before damage symptoms and the damage initiation load was determined. The study continued to analyse the initial cracking and delamination of the laminate layers, together with crack propagation leading to cracking of all the laminate layers (complete failure of the composite structure). The novelty of this study is that it uses the popular XFEM method to describe the cracking and failure of the composite structure. In addition, the study proposes the novel method for determining the crack initiation and failure loads of the composite plate under tension, and the results obtained thereby are verified numerically.

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Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study of Crack Propagation in the Tensile Composite Plate with the Open Hole

Wysmulski¹

2023

Adv. Sci. Technol. Res. J.

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“…The calculations were carried out for a settled imperfections (Kolakowski and Kubiak, 2007;Kubiak, 2007;Teter, 2007, 2010, 2011, Teter and Kolakowski, 2013Tamura and Babcock, 1975;Kolakowski, 2009).…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…One of a few exceptions, known to the authors, is the quasibifurcation criterion of dynamic buckling for step-like load (Heaviside's function) and the one concerning the critical pulse duration (so-called: the Kleiber-Kotula-Saran criterion (Kleiber et al, 1987)). This criterion was used at same papers: Kolakowski and Kubiak (2007), Kubiak (2007), Teter (2007Teter ( , 2010Teter ( , 2011, Teter and Kolakowski (2013). The latter criterion is based on a condition, that the tangent matrix of the system stiffness is zero.…”

Section: Figmentioning

confidence: 99%

“…There are known the solutions of dynamic buckling problem for columns (Budiansky, 1966a;1966b). But there are not many solutions for plate model of thinwalled structures (Sridharan, 1984;Kolakowski, 2007; Kolakowski and Kubiak, 2007;Kubiak, 2007;Teter, 2007, 2010, 2011, Teter and Kolakowski, 2013.…”

Section: Figmentioning

confidence: 99%

“…One can find only a few papers: Teter (2007Teter ( , 2010Teter ( , 2011, Hutchinson and Budiansky (1966), Hsu, (1967Hsu, ( , 1968, Schokker et al (1996) and monograph by Bazant and Cedolin (2010), which made use of the phase plane to determine the dynamic buckling load as an unbounded response for the uncoupled buckling. In the case of multimode buckling the method of phase plane was used in papers: Teter (2007Teter ( , 2010Teter ( , 2011, Teter and Kolakowski (2013). The phase plane criterion is formulated as: the dynamic buckling load for the tracing time of solutions has been defined as the minimum value of the pulse load, such that the phase portrait is an open curve.…”

Section: Figmentioning

confidence: 99%

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Coupled Static and Dynamic Buckling Modelling of Thin-Walled Structures in Elastic Range Review of Selected Problems

Kołakowski

Teter

2016

Acta Mechanica Et Automatica

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A review of papers that investigate the static and dynamic coupled buckling and post-buckling behaviour of thin-walled structures is carried out. The problem of static coupled buckling is sufficiently well-recognized. The analysis of dynamic interactive buckling is limited in practice to columns, single plates and shells. The applications of finite element method (FEM) or/and analytical-numerical method (ANM) to solve interaction buckling problems are on-going. In Poland, the team of scientists from the Department of Strength of Materials, Lodz University of Technology and co-workers developed the analytical-numerical method. This method allows to determine static buckling stresses, natural frequencies, coefficients of the equation describing the post-buckling equilibrium path and dynamic response of the plate structure subjected to compression load and/or bending moment. Using the dynamic buckling criteria, it is possible to determine the dynamic critical load. They presented a lot of interesting results for problems of the static and dynamic coupled buckling of thin-walled plate structures with complex shapes of cross-sections, including an interaction of component plates. The most important advantage of presented analytical-numerical method is that it enables to describe all buckling modes and the post-buckling behaviours of thin-walled columns made of different materials. Thin isotropic, orthotropic or laminate structures were considered.Key words: Interaction, Buckling, Thin-Walled Structures, FEM, Analytical-Numerical Method, Review COUPLED BUCKLING OF THIN-WALLED STRUCTURESThe theory of coupled or interactive buckling of thin walled structures has been already developed widely for over sixty years. Thin-walled structures, especially plates, columns and beams, have many different buckling modes that vary in quantitative and qualitative aspects. In these cases, nonlinear buckling theory should describe all buckling modes from global (i.e., flexural, flexural-torsional, lateral, distortional and their combinations) to local and the coupled buckling as well as the determination of their load carrying capacity taking into consideration the structure imperfection. Coupling between modes occur for columns of such length where two or more eigenvalues loads of a structure are nearly identical (Fig. 1). The local buckling takes place for the short columns. On the other hand, the long columns are subject to global buckling.The concept of coupled or interactive buckling involves the general asymptotic nonlinear theory of stability. Among all versions of the general nonlinear theory, the Koiter theory of conservative systems (Koiter, 1976; van der Heijden, 2009) is the most popular one, owing to its general character and development, even more so after Byskov and Hutchinson (1997) formulated it in a convenient way. The details descriptions of this method can be found in the monographs: van der Heijden (2009), Thompson and Hunt (1973) or Kubiak (2013). Applicability of an asymptotic expansion for elastic buck...

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Kubiak

2013

Static and Dynamic Buckling of Thin-Walled Plate Structures

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Coupled dynamic buckling of thin-walled composite columns with open cross-sections

Cited by 11 publications

References 26 publications

Numerical and Experimental Study of Crack Propagation in the Tensile Composite Plate with the Open Hole

Numerical and Experimental Study of Crack Propagation in the Tensile Composite Plate with the Open Hole

Coupled Static and Dynamic Buckling Modelling of Thin-Walled Structures in Elastic Range Review of Selected Problems

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