A SFEM-based evaluation of mode-I Stress Intensity Factor in composite structures

Fantuzzi, Nicholas; Dimitri, Rossana; Tornabene, Francesco

doi:10.1016/j.compstruct.2016.02.076

Cited by 54 publications

(26 citation statements)

References 118 publications

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“…Moreover, the present novel results are compared to the same solutions obtained through commercial finite element codes (Abaqus and Straus7). For the sake of conciseness and also because the SFEM implementation is not the main purpose of the present work, interested readers are invited to read reference papers for details on this numerical technique [176][177][178][179][180][181][182][183]. In a few words, SFEM is a domain decomposition technique in which the continuity among the elements is enforced in terms of displacements and stresses and the solution is sought in the strong form.…”

Section: Numerical Implementationmentioning

confidence: 99%

“…In particular, the authors consider a strong form finite element scheme termed SFEM (Strong Formulation Finite Element Method [176][177][178][179][180][181][182][183]) for the following simulations. Moreover, the present novel results are compared to the same solutions obtained through commercial finite element codes (Abaqus and Straus7).…”

Section: Numerical Implementationmentioning

confidence: 99%

“…Therefore, the present choice is preferable for studying plates made of composite materials. For the element mapping, both classical serendipity mapping and NURBS-based mapping have been considered [176][177][178][179][180][181][182][183]. All the provided simulations have been carried out through the Differential Quadrature for Mechanics of Anisotropic Shells, Plates, Arches, and Beams (DiQuMASPAB) software [184], which implements the SFEM in a user-friendly interface.…”

Section: Numerical Implementationmentioning

confidence: 99%

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On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

et al. 2018

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Abstract:The present work considers a computational study on laminated composite plates by using a linear theory for moderately thick structures. The present problem is solved numerically because analytical solutions cannot be found for such plates when lamination schemes are general and when all the stiffness constants are activated at the constitutive level. Strong and weak formulations are used to solve the present problem and several comparisons are given. The strong form is dealt with using the so-called Strong Formulation Finite Element Method (SFEM) and the weak form is solved using commercial Finite Element (FE) packages. Both techniques are based on the domain decomposition technique according to geometric discontinuities. The SFEM solves the strong form inside each element and needs the implementation of kinematic and static inter-element conditions, whereas the FE solves the weak form and the continuity conditions among the elements are given in terms of displacements only. The results are reported in graphical form in terms of the first three natural frequencies. The accuracy and stability of SFEM and FE are thoroughly discussed.

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Section: Numerical Implementationmentioning

confidence: 99%

Section: Numerical Implementationmentioning

confidence: 99%

Section: Numerical Implementationmentioning

confidence: 99%

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On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

et al. 2018

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“…Once the governing equations are obtained, they are numerically solved by means of the Generalized Differential Quadrature (GDQ) method [90], whose main features are illustrated in detail by Tornabene et al in the review paper [91]. The accuracy, reliability and stability characteristic of this numerical tool can be checked considering the excellent results shown in the works [39][40][41][61][62][63][64][65][66][67][68][69][70][71][72][73][74][79][80][81][82][83][92][93][94][95][96][97][98][99][100][101][102], which have been obtained in different kinds of structural problems related to plates and shells.…”

Section: Introductionmentioning

confidence: 99%

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

et al. 2016

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Abstract:The main purpose of the paper is to present an innovative higher-order structural theory to accurately evaluate the natural frequencies of laminated composite shells. A new kinematic model is developed starting from the theoretical framework given by a unified formulation. The kinematic expansion is taken as a free parameter, and the three-dimensional displacement field is described by using alternatively the Legendre or Lagrange polynomials, following the key points of the most typical Layer-wise (LW) approaches. The structure is considered as a unique body and all the geometric and mechanical properties are evaluated on the shell middle surface, following the idea of the well-known Equivalent Single Layer (ESL) models. For this purpose, the name Equivalent Layer-Wise (ELW) is introduced to define the present approach. The governing equations are solved numerically by means of the Generalized Differential Quadrature (GDQ) method and the solutions are compared with the results available in the literature or obtained through a commercial finite element program. Due to the generality of the current method, several boundary conditions and various mechanical and geometric configurations are considered. Finally, it should be underlined that different doubly-curved surfaces may be considered following the mathematical framework given by the differential geometry.

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“…Ansari et al [44] applied the variational differential quadrature (VDQ) method to study the free vibration characteristic of embedded functionally graded carbon nanotubereinforced composite (FG-CNTRC) spherical shells having classical boundary condition resting on the elastic foundation. Tornabene et al [45] applied the generalized differential quadrature method [45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60] and Carrera unified formulation to study the effect of Carbon Nanotube (CNT) agglomeration on the free vibration of laminated composite doubly-curved shells and panels reinforced by CNTs.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics of functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports

Zhong

Wang

Tang

et al. 2018

Curved and Layered Structures

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This paper presents the first known vibration characteristics of moderately thick functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports on the basis of the firstorder shear deformation theory. Different distributions of single walled carbon nanotubes (SWCNTs) along the thickness are considered. Uniform and other three kinds of functionally graded distributions of carbon nanotubes along the thickness direction of plates are studied. The solutions carried out using an enhanced Ritz method mainly include the following three points: Firstly, create the Lagrange energy function by the energy principle; Secondly, as the main innovation point, the modified Fourier series are chosen as the basic functions of the admissible functions of the plates to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges; Lastly, solve the natural frequencies as well as the associated mode shapes by means of the Ritz-variational energy method. In this study, the influences of the volume fraction of CNTs, distribution type of CNTs, boundary restrain parameters, location of the internal line supports, foundation coefficients on the natural frequencies and mode shapes of the FG-CNT reinforced composite rectangular plates are presented.

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A SFEM-based evaluation of mode-I Stress Intensity Factor in composite structures

Cited by 54 publications

References 118 publications

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

Vibration characteristics of functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports

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