Du Dinh Nguyen
Partition of unityDistribution (mathematics)Mathematical optimizationNumerical integrationQuadratic equationMathematical analysisFinite element methodMatrix (mathematics)Mixed finite element methodQuadrilateralComposite materialQuadrature (mathematics)Gaussian quadratureInterpolationElement (category theory)IsotropyMaterials scienceVibrationGeometryDamping matrixPolynomial basisApplied mathematicsLinear elasticityMathematicsSmoothingFracture (geology)Numerical analysisSolid mechanicsStress intensity factorRate of convergenceBasis functionStructural engineeringDegrees of freedom (statistics)DiscretizationHeaviside step functionAnisotropyStress (mechanics)
5Publications
4H-index
166Citations
Publications 5
Newest
#1Du Dinh NguyenH-Index: 4
#2Minh N. Nguyen (VNUHCM-UT: Ho Chi Minh City University of Technology)H-Index: 29
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
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Abstract The consecutive-interpolation procedure (CIP) has been recently proposed as an enhanced technique for traditional finite element method (FEM) with various desirable properties such as continuous nodal gradients and higher accuracy without increasing the total number of degrees of freedom (DOFs). It is common knowledge that linear finite elements, e.g., four-node quadrilateral (Q4) or eight-node hexahedral (HH8) elements, are not highly suitable for geometrically nonlinear analysis. The ...
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#1Zuoyi Kang (TITech: Tokyo Institute of Technology)H-Index: 3
#2Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
Last. Sohichi Hirose (TITech: Tokyo Institute of Technology)H-Index: 16
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Abstract The recently developed local enriched consecutive-interpolation 4-node quadrilateral element (XCQ4) is extended to study transient dynamic stress intensity factors (DSIFs) for isotropic solids and anisotropic composite materials containing stationary cracks. The XCQ4 involves both nodal values and averaged nodal gradients as interpolation conditions to smooth the distribution of unknown variables. The possible physical properties of enriched nodes in consecutive-interpolation procedure ...
30 CitationsSource
#1Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
#2Du Dinh NguyenH-Index: 4
Last. Romesh C. Batra (VT: Virginia Tech)H-Index: 81
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Abstract The recently developed consecutive-interpolation procedure (CIP) based 4-node quadrilateral element (CQ4) is used to study free and forced 2-dimensional vibrations of elastic and piezoelectric structures of complex geometries. For some of these problems results have also been computed with the standard quadrilateral element under the constraint that the two approaches have the same number of degrees of freedom. In each case it is found that the numerical solution using the CQ4 element h...
31 CitationsSource
#1Zuoyi Kang (TITech: Tokyo Institute of Technology)H-Index: 3
#2Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
Last. Sohichi Hirose (TITech: Tokyo Institute of Technology)H-Index: 15
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A novel extended 4-node quadrilateral finite element (XCQ4) based on a consecutive-interpolation procedure (CIP) with continuous nodal stress for accurately modeling singular stress fields near crack tips of two-dimensional (2D) cracks in solids is presented. In contrast to the traditional approaches, the approximation functions constructed based on the CIP involve both nodal values and averaged nodal gradients as interpolation conditions. Our objective is to exhibit a pioneering extension of th...
62 CitationsSource
#1Tinh Quoc Bui (University of Siegen)H-Index: 54
#2Dam Quang Vo (Petrovietnam)H-Index: 1
Last. Du Dinh NguyenH-Index: 4
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Abstract An efficient, smooth and accurate quadrilateral element with four-node based on the consecutive-interpolation procedure (CIP) is formulated. The CIP is developed recently by Zheng et al. ( Acta Mech Sin 26 (2010) 265–278) for triangular element with three-node. In this setting the approximation functions handle both nodal values and averaged nodal gradients as interpolation conditions. Two stages of the interpolation are required; the primary stage is carried out using the same procedur...
38 CitationsSource