Fracture mechanical finite element analysis for delaminated composite plates applying the first-order shear deformation plate theory

Hauck, Bence; Szekrényes, András

doi:10.1016/j.compstruct.2023.116719

Cited by 5 publications

(2 citation statements)

References 45 publications

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“…However, it should be mentioned that the continuity conditions and the zero shear stresses on the unsheared surfaces are not granted in the models built with brick elements. The boundary issues of semi-analytical solutions comparing to finite element models were discussed in a former study in more detail [58].…”

Section: Case Studies – Verificationmentioning

confidence: 99%

Enhanced beam and plate finite elements with shear stress continuity for compressible sandwich structures

Hauck,

Szekrényes

2024

Mathematics and Mechanics of Solids

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This paper concerns and presents new improved beam and plate finite elements for analysing sandwich structures from the structural and modal points of view. In this study, the material behaviour is supposed to be linear elastic and orthotropic, but the method could be extended for nonlinear problems as well. The current models are able to treat the compressibility of the soft core materials, besides the interlaminar continuity conditions and the zero shear stresses on the shear-free surfaces are granted by the Lagrange multiplier method. In order to provide stress continuity along the element boundaries, the Hermite interpolation is employed for the elementary formulations that yields subparametric finite elements. On the contrary, the semi-analytical solutions of these enhanced beam and plate models are also discussed here for particular boundary conditions. The verification of the new finite elements is carried out by two case studies. The test examples are modelled and solved in commercial finite element software (ANSYS) with general shell and solid elements, too. The results derived from different models are subjected to a comprehensive comparison. Also, the structural and modal analyses of the test examples are presented during the case studies. The structural analysis of an overconstrained sandwich panel is also discussed to point out the significance of the proper shear stress distributions. Finally, the advantages and disadvantages of the newly developed elements and semi-analytical solutions are revealed in detail.

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Section: Case Studies – Verificationmentioning

confidence: 99%

Enhanced beam and plate finite elements with shear stress continuity for compressible sandwich structures

Hauck,

Szekrényes

2024

Mathematics and Mechanics of Solids

Self Cite

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“…Since the CPT neglects shear deformation effects, it cannot give an accurate analysis for thick plates. To account for the shear deformation effects, researchers have developed diverse shear deformation theories, such as the first-order theory [28][29][30][31][32], third-order theory [33][34][35][36][37], sinusoidal theory [38][39][40][41], and hyperbolic theory [42][43][44]. These shear deformation theories can give better predictions on the thermoelastic behaviors of plates in comparison with the CPT.…”

Section: Introductionmentioning

confidence: 99%

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Zhang,

Sun,

Xiang

et al. 2023

Buildings

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Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries. To include the nonlinear radiation boundary, the whole heating process is divided into several time steps, and a linearized approximation is used to simplify the radiation term for each step. The one-dimensional transient temperature along the thickness direction is solved using the technique of the separation of variables. The displacement and stress solutions are obtained by applying the state-space method to the three-dimensional thermoelasticity equations. The accuracy of the present solutions is demonstrated by comparison with the reported results in the open literature and the finite element solutions. In the numerical examples, two kinds of thermal boundaries, namely, time-independent convection boundaries and time-dependent convection and radiation boundaries, are considered to show the availability of the present solutions.

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Advanced finite element analyses to compute the J-integral for delaminated composite plates

Hauck,

Szekrényes

2024

Applied Mathematical Modelling

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Fracture mechanical finite element analysis for delaminated composite plates applying the first-order shear deformation plate theory

Cited by 5 publications

References 45 publications

Enhanced beam and plate finite elements with shear stress continuity for compressible sandwich structures

Enhanced beam and plate finite elements with shear stress continuity for compressible sandwich structures

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Advanced finite element analyses to compute the J-integral for delaminated composite plates

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