A cutout isogeometric analysis for thin laminated composite plates using level sets

Published on Sep 1, 2015in Composite Structures5.138
· DOI :10.1016/J.COMPSTRUCT.2015.03.016
Shuohui Yin18
Estimated H-index: 18
(Hohai University),
Tiantang Yu32
Estimated H-index: 32
(Hohai University)
+ 2 AuthorsSohichi Hirose15
Estimated H-index: 15
(TITech: Tokyo Institute of Technology)
Abstract Numerical modeling with treatment of trimmed objects such as internal cutouts in terms of NURBS-based isogeometric analysis presents several challenges, primarily due to the tensor product of the NURBS basis functions. In this paper we develop a new simple and effective isogeometric analysis for modeling buckling and free vibration problems of thin laminated composite plates with cutouts. We adopt the classical plate theory for the present formulation. The new approach can nicely overcome the drawbacks in modeling complex geometries with multiple-patches as the level sets are used to describe the internal cutouts; while the numerical integration is used only inside the physical domain. Numerical examples with complicated shapes are considered and analyzed to show the influences of cutout geometry, fiber orientation, boundary conditions, etc. on natural frequency and buckling behaviors of laminated plates. The results are compared with reference solutions showing a high accuracy of the proposed method.
📖 Papers frequently viewed together
3,558 Citations
121 Citations
124 Citations
#1G. Bhardwaj (IITR: Indian Institute of Technology Roorkee)H-Index: 12
#2Indra Vir Singh (IITR: Indian Institute of Technology Roorkee)H-Index: 31
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 4 authors...
Abstract In this paper, extended isogeometric analysis (XIGA) is performed to simulate the cracked functionally graded material (FGM) plates using first order shear deformation theory (FSDT) under different types of loading and boundary conditions. The gradation in material properties of the plate vary exponentially along thickness direction. The top and bottom surfaces of the plate are composed of ceramic and metal respectively. The properties of the equivalent composite are evaluated by rule o...
109 CitationsSource
#1Tian Tang Yu (Hohai University)H-Index: 1
#2Shuohui Yin (Hohai University)H-Index: 18
Last. Sohichi Hirose (TITech: Tokyo Institute of Technology)H-Index: 15
view all 4 authors...
Abstract This paper presents a novel approach based on isogeometric analysis (IGA) and a simple first-order shear deformation plate theory (S-FSDT) for geometrically nonlinear analysis of homogeneous and non-homogeneous functionally graded plates. Owing to many advantages such as (a) the S-FSDT is free of shear-locking, (b) less one unknown for the S-FSDT as compared with the conventional FSDT, (c) the awkward C 1 continuity required for the generalized displacements is treated straightforwardly...
112 CitationsSource
#1Attila P. Nagy (UCSD: University of California, San Diego)H-Index: 7
#2David J. Benson (UCSD: University of California, San Diego)H-Index: 50
Abstract A numerical algorithm is proposed to construct efficient quadrature rules for trimmed isogeometric elements of arbitrary shape and topology as part of the standard finite element preprocessing step. The constructed integration rule is unique to an element and it is considered to be optimal in the sense that the final quadrature points and weights satisfy the moment fitting equations within the trimmed domain up to a predefined tolerance. The resulting quadrature points are in the interi...
47 CitationsSource
#1Shuohui Yin (Hohai University)H-Index: 18
#2Jack Hale (University of Luxembourg)H-Index: 9
Last. Stéphane Bordas (Cardiff University)H-Index: 65
view all 5 authors...
An effective, simple, robust and locking-free plate formulation is proposed to analyze the static bending, buckling, and free vibration of homogeneous and functionally graded plates. The simple first-order shear deformation theory (S-FSDT), which was recently presented in Thai and Choi (2013) [11], is naturally free from shear-locking and captures the physics of the shear-deformation effect present in the original FSDT, whilst also being less computationally expensive due to having fewer unknown...
141 CitationsSource
#1Minh N. Nguyen (RUB: Ruhr University Bochum)H-Index: 29
#2Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
Last. Sohichi Hirose (TITech: Tokyo Institute of Technology)H-Index: 15
view all 4 authors...
Abstract Unsaturated flow problems in porous media often described by Richards’ equation are of great importance in many engineering applications. In this contribution, we propose a new numerical flow approach based on isogeometric analysis (IGA) for modeling the unsaturated flow problems. The non-uniform rational B-spline (NURBS) basis is utilized for spatial discretization whereas the stable implicit backward Euler method for time discretization. The nonlinear Richards’ equation is iteratively...
31 CitationsSource
#1Sundararajan Natarajan (UNSW: University of New South Wales)H-Index: 31
#2Pratik Sharad Deogekar (IITB: Indian Institute of Technology Bombay)H-Index: 1
Last. Salim BelouettarH-Index: 32
view all 4 authors...
Abstract The effect of moisture concentration and the thermal gradient on the free flexural vibration and buckling of laminated composite plates are investigated. The effect of a centrally located cutout on the global response is also studied. The analysis is carried out within the framework of the extended finite element method. A Heaviside function is used to capture the jump in the displacement and an enriched shear flexible 4-noded quadrilateral element is used for the spatial discretization...
42 CitationsSource
#1Jia Lu (UI: University of Iowa)H-Index: 29
#2Chao Zheng (UI: University of Iowa)H-Index: 1
Abstract A NURBS-based continuum approach of cloth simulation is presented. Cloth geometry is described by NURBS, and the dynamic response is modeled by displacement-only NURBS shell. The shell formulation, including a constitutive description for cloth-like materials and an algorithmic treatment of multi-patch models, is discussed in detail. A fully NURBS based contact/impact update algorithm is presented. Numerical examples are included to demonstrate the performance and the application of the...
25 CitationsSource
#1Tinh Quoc Bui (University of Siegen)H-Index: 54
#2Chuanzeng Zhang (University of Siegen)H-Index: 38
An investigation of the generalized dynamic intensity factors (GDIFs) of cracked homogeneous and linear magnetoelectroelastic (MEE) solids using the extended finite element method (X-FEM) is presented. Stationary straight and curved cracks in two-dimensional (2D) MEE solids with impermeable electromagnetic crack-face boundary conditions under coupled electro-magneto-mechanical impact loads are investigated. The effects of various aspects including mesh sensitivity; combined dynamic impact loads;...
78 CitationsSource
#1N. Valizadeh (Bauhaus University, Weimar)H-Index: 10
#2Tinh Quoc Bui (University of Siegen)H-Index: 54
Last. Minh N. Nguyen (RUB: Ruhr University Bochum)H-Index: 29
view all 5 authors...
Buckling, free and forced vibration analyses of orthotropic plates are studied numerically using Isogeometric analysis. The present formulation is based on the classical plate theory (CPT) while the NURBS basis function is employed for both the parametrization of the geometry and the approximation of plate deflection. An efficient and easy-to-implement technique is used for imposing the essential boundary conditions. Numerical examples for free and forced vibration and buckling of orthotropic pl...
32 CitationsSource
#1N. Valizadeh (Bauhaus University, Weimar)H-Index: 10
#2Sundararajan Natarajan (UNSW: University of New South Wales)H-Index: 31
Last. Stéphane Bordas (University of Luxembourg)H-Index: 65
view all 6 authors...
In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates. The material properties are assumed to be graded only in the thickness direction and the effective properties are computed either using the rule of mixtures or by Mori–Tanaka homogenization scheme. The plate kinematics is based on the first order shear deformation plate theory (FSDT). The shear correction fa...
225 CitationsSource
Cited By56
#1Shyam Kumar Chaudhary (National Institute of Technology, Jamshedpur)
#2Vishesh Ranjan Kar (National Institute of Technology, Jamshedpur)H-Index: 17
Last. Karunesh Kumar Shukla (National Institute of Technology, Jamshedpur)
view all 3 authors...
AbstractThe flexural behavior of functionally graded composite panels with single and multiple rectangular perforations is examined subjected to complex loading conditions, including uniform/sinuso...
#1Zhao Jing (NPU: Northwestern Polytechnical University)
#2Qin Sun (NPU: Northwestern Polytechnical University)H-Index: 5
Last. Ke Liang (NPU: Northwestern Polytechnical University)H-Index: 2
view all 4 authors...
Due to the classical thin plate theory based governing equations of composite rectangular plates for dynamic problems are linear homogeneous equations on bending stiffness coefficients, a general s...
#1Chuanchuan Shen (ZJU: Zhejiang University)H-Index: 2
#2Li Ma (Zhejiang University of Technology)H-Index: 3
Last. Jinyang Zheng (ZJU: Zhejiang University)H-Index: 27
view all 5 authors...
This paper proposed a virtual testing method combining finite element procedure with heterogeneity weak bonding model to analyze the macroscopic responses of composite plates. Results show that wea...
view all 3 authors...
#1C. H. Daros (State University of Campinas)H-Index: 1
#1C. H. Daros (State University of Campinas)H-Index: 1
We derive here a fundamental solution for the harmonic vibration of thick asymmetrically laminated composite plates. The kinematics of the plate is based on Reddy’s third-order shear deformation theory (J Appl Mech 51:745–752, 1984). The fundamental solution is derived via the Fourier transform, and its final form is given in terms of definite integrals, which are evaluated numerically. All spatial singularities can be obtained explicitly, which makes the fundamental solution suitable for a boun...
#2Rongqiang Liu (HIT: Harbin Institute of Technology)H-Index: 15
view all 3 authors...
The paper presents a modified differential quadrature (MDQ) method to investigate the dynamic response of perforated plates with elastically restrained edges under uniaxial impact compressive load....
#1Xu Sun (Beijing University of Civil Engineering and Architecture)
#2Pengchong Zhang (Beijing University of Civil Engineering and Architecture)
Last. Kun Lin (Beijing University of Civil Engineering and Architecture)
view all 4 authors...
This paper aims to conduct the free vibration analysis of single-layer and laminated composite plates with multiple cutouts based on the scaled boundary finite element method (SBFEM) incorporated with the precise integration method (PIM) and the technique of the degree of freedom transform. It is applicable to a variety of shaped plates containing cordiform, circular and other complicated cutouts. The key equations are formulated built on the two-dimensional model, and the discretization is carr...
#1Vibhushit Gupta (Shri Mata Vaishno Devi University)
#2Azher Jameel (Islamic University of Science and Technology)H-Index: 4
Last. Y. Anand (Shri Mata Vaishno Devi University)H-Index: 6
view all 4 authors...
Abstract Isogeometric analysis (IGA) concept is developed as the new numerical approach that reduces the gap between design and analysis by incorporating them both into a unified and single process. In this paper the application of this advanced numerical approach in analyzing composite plates based on different theories have been reviewed. Further, in the review development of different continuum theories based on IGA are also discussed. Firstly, incorporation of different equivalent single lay...
#1Nitin SharmaH-Index: 11
#1Nitin SharmaH-Index: 6
Last. Subrata Kumar Panda (NITR: National Institute of Technology, Rourkela)H-Index: 29
view all 2 authors...
Abstract In this paper, a numerical scheme is prepared using the higher-order shear deformation type of kinematic model with the help of a coupled finite and boundary elements (FE–BE) to evaluate the vibroacoustic responses of laminated composite sandwich curved shell panels. The panel is under the influence of a harmonic point load. Further, an FE–BE combined technique is utilized to prepare a generic computer code (MATLAB environment) for the numerical prediction via the proposed mathematical ...
2 CitationsSource
The free vibration frequency responses of the laminated composite structure with a cut-out of variable shapes (square/circular/elliptical), position (center/eccentric) and orientation (parallel/inc...
2 CitationsSource