Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach

Thai, Chien H.; Nguyen‐Xuan, H.; Nguyen‐Thanh, Nhon; Le, Tat-Hien; Nguyen-Thoi, T.; Rabczuk, Timon

doi:10.1002/nme.4282

Cited by 282 publications

(87 citation statements)

References 85 publications

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“…14 Thai et al (2012). For finite element results, the structural displacement is distorted further from the analytical results as the shear energy dominated within the element.…”

Section: Validation Against Electromechanically Coupled Femmentioning

confidence: 99%

“…Hence, the shape functions, N ii , are associated with the basis functions and the control points of the NURBS surface (Thai et al 2012). Considering a NURBS surface with control net B A and weighting value w A , Eq.…”

Section: Isogeometric Formulation For Laminated Compositementioning

confidence: 99%

“…1, Thai et al (2012) implemented NURBS-based IGA to investigate the shear locking phenomena on the dynamic response problems of the laminated composite plate. In this section, a new investigation on the effect of shear locking phenomena and the resistance of high-order IGA elements to the voltage and power responses of piezoelectric energy harvester is presented.…”

Section: Validation Against Electromechanically Coupled Femmentioning

confidence: 99%

“…A study by Thai et al (2012) shown that high-order IGA elements are hardly suffer from shear locking phenomena. The shear locking phenomena have been investigated since the early development of finite elements.…”

Section: Introductionmentioning

confidence: 99%

“…It happens when the shear energy becomes very dominant compared to the bending energy as the thickness of the element is very small compared to its length (Kwon and Bang 2000). Thai et al (2012) investigated the benefits of NURBS-based IGA implementation for the structural dynamic problems of the plate with various thickness. At very thin configuration, it was concluded that the high-order IGA elements show more resistance to the shear locking phenomena compares to the standard finite element.…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of piezoelectric energy harvester under dynamic bending by means of hybrid mathematical/isogeometric analysis

Akbar

Curiel-Sosa

2017

Int J Mech Mater Des

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In this paper, a novel hybrid mathematical/ isogeometric analysis (IGA) scheme is implemented to evaluate the energy harvesting of the piezoelectric composite plate under dynamic bending. The NURBS-based IGA is applied to obtain the structural response exerted by the mechanical loading. The dynamic responses conveniently coupled with the governing voltage differential equations to estimate the energy harvested. The capabilities of the scheme are shown with the comparison against analytical and full electromechanical finite element results. As there is no need of fully coupled electromechanical element, the scheme provides cheaper computational cost and could be implemented with standard computational software. Thus, it gives great benefit for early design stage. Moreover, the robustness of the scheme is shown by the couple with high order IGA element which has been proven less prone to the shear locking phenomena in the literature. The computational results show greater accuracy on structural responses and energy estimation for a very thin plate compared to the couple with standard finite element method.

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“…14 Thai et al (2012). For finite element results, the structural displacement is distorted further from the analytical results as the shear energy dominated within the element.…”

Section: Validation Against Electromechanically Coupled Femmentioning

confidence: 99%

Section: Isogeometric Formulation For Laminated Compositementioning

confidence: 99%

Section: Validation Against Electromechanically Coupled Femmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Evaluation of piezoelectric energy harvester under dynamic bending by means of hybrid mathematical/isogeometric analysis

Akbar

Curiel-Sosa

2017

Int J Mech Mater Des

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Implicit dynamic analysis using an isogeometric Reissner–Mindlin shell formulation

Sobota

Dornisch

Müller

et al. 2016

Numerical Meth Engineering

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SummaryIn isogeometric analysis, identical basis functions are used for geometrical representation and analysis. In this work, non‐uniform rational basis splines basis functions are applied in an isoparametric approach. An isogeometric Reissner–Mindlin shell formulation for implicit dynamic calculations using the Galerkin method is presented. A consistent as well as a lumped matrix formulation is implemented. The suitability of the developed shell formulation for natural frequency analysis is demonstrated by a numerical example. In a second set of examples, transient problems of plane and curved geometries undergoing large deformations in combination with nonlinear material behavior are investigated. Via a zero‐thickness stress algorithm for arbitrary material models, a J2‐plasticity constitutive law is implemented. In the numerical examples, the effectiveness, robustness, and superior accuracy of a continuous interpolation method of the shell director vector is compared with experimental results and alternative numerical approaches. Copyright © 2016 John Wiley & Sons, Ltd.

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Extended isogeometric analysis based on PHT‐splines for crack propagation near inclusions

Nguyen‐Thanh

Zhou

2017

Numerical Meth Engineering

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Adaptive local refinement is one of the main issues for isogeometric analysis (IGA). In this paper, an adaptive extended IGA (XIGA) approach based on polynomial splines over hierarchical T-meshes (PHT-splines) for modeling crack propagation is presented. The PHT-splines overcome certain limitations of nonuniform rational B-splines-based formulations; in particular, they make local refinements feasible.To drive the adaptive mesh refinement, we present a recovery-based error estimator for the proposed method. The method is based on the XIGA method, in which discontinuous enrichment functions are added to the IGA approximation and this method does not require remeshing as the cracks grow. In addition, crack propagation is modeled by successive linear extensions that are determined by the stress intensity factors under linear elastic fracture mechanics. The proposed method has been used to analyze numerical examples, and the stress intensity factors results were compared with reference results. The findings demonstrate the accuracy and efficiency of the proposed method.

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Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach

Cited by 282 publications

References 85 publications

Evaluation of piezoelectric energy harvester under dynamic bending by means of hybrid mathematical/isogeometric analysis

Evaluation of piezoelectric energy harvester under dynamic bending by means of hybrid mathematical/isogeometric analysis

Implicit dynamic analysis using an isogeometric Reissner–Mindlin shell formulation

Extended isogeometric analysis based on PHT‐splines for crack propagation near inclusions

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