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Author

Dean Hu

Other affiliations: Beijing Institute of Technology
Bio: Dean Hu is an academic researcher from Hunan University. The author has contributed to research in topics: Finite element method & Smoothing. The author has an hindex of 13, co-authored 51 publications receiving 517 citations. Previous affiliations of Dean Hu include Beijing Institute of Technology.


Papers
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Journal ArticleDOI
Chen Jiang1, Q. F. Zhang1, Xu Han1, Jie Liu1, Dean Hu1 
TL;DR: In this article, a multidimensional parallelepiped model is proposed to deal with complex multi-source uncertainty problems in which dependent variables and independent variables coexist, and the concept of the correlation angle and the correlation coefficient is defined.
Abstract: Summary Non-probabilistic convex models need to be provided only the changing boundary of parameters rather than their exact probability distributions; thus, such models can be applied to uncertainty analysis of complex structures when experimental information is lacking. The interval and the ellipsoidal models are the two most commonly used modeling methods in the field of non-probabilistic convex modeling. However, the former can only deal with independent variables, while the latter can only deal with dependent variables. This paper presents a more general non-probabilistic convex model, the multidimensional parallelepiped model. This model can include the independent and dependent uncertain variables in a unified framework and can effectively deal with complex ‘multi-source uncertainty’ problems in which dependent variables and independent variables coexist. For any two parameters, the concepts of the correlation angle and the correlation coefficient are defined. Through the marginal intervals of all the parameters and also their correlation coefficients, a multidimensional parallelepiped can easily be built as the uncertainty domain for parameters. Through the introduction of affine coordinates, the parallelepiped model in the original parameter space is converted to an interval model in the affine space, thus greatly facilitating subsequent structural uncertainty analysis. The parallelepiped model is applied to structural uncertainty propagation analysis, and the response interval of the structure is obtained in the case of uncertain initial parameters. Finally, the method described in this paper was applied to several numerical examples. Copyright © 2015 John Wiley & Sons, Ltd.

99 citations

Journal ArticleDOI
Ting Long1, Dean Hu1, Detao Wan1, Chen Zhuang1, Gang Yang1 
TL;DR: A new ghost particle method is proposed by dividing the interceptive area of kernel support domain into subareas corresponding to boundary segments of structure to ensure complete support condition and restore the first-order consistency near the boundary of Smoothed Particle Hydrodynamics method.

62 citations

Journal ArticleDOI
Zhiwei Shen1, Dean Hu1, Gang Yang1, Xu Han1, Xu Han2 
TL;DR: In this article, a state function of penetration for reliability evaluation is formulated based on a validated numerical model, and an optimization problem with a probability constraint is established in order to achieve a minimum deformation.

52 citations

Journal ArticleDOI
TL;DR: In this article, a modified meshless local Petrov-Galerkin (MLPG) method is presented for elasticity problems using the moving least squares (MLS) approximation, which does not need a mesh for the interpolation of the solution variables or for the integration of the energy.
Abstract: A modified meshless local Petrov–Galerkin (MLPG) method is presented for elasticity problems using the moving least squares (MLS) approximation. It is a truly meshless method because it does not need a mesh for the interpolation of the solution variables or for the integration of the energy. In this paper, a simple Heaviside test function is chosen to overcome the computationally expensive problems in the MLPG method. Essential boundary conditions are imposed by using a direct interpolation method based on the MLPG method establishes equations node by node. Numerical results in several examples show that the present method yielded very accurate solutions. And the sensitivity of the method to several parameters is also studied in this paper.

43 citations

Journal ArticleDOI
TL;DR: In this paper, a numerical method is developed to compute the linear elastic static and dynamic responses of structures with epistemic uncertainty based on evidence theory, which can deal with the imprecise parameters with limited information can be conveniently treated.

38 citations


Cited by
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Journal ArticleDOI
TL;DR: The smoothed finite element methods (S-FEM) as discussed by the authors are a family of methods formulated through carefully designed combinations of the standard FEM and some of the techniques from the mesh free methods.
Abstract: The smoothed finite element methods (S-FEM) are a family of methods formulated through carefully designed combinations of the standard FEM and some of the techniques from the meshfree methods. Studies have proven that S-FEM models behave softer than the FEM counterparts using the same mesh structure, often produce more accurate solutions, higher convergence rates, and much less sensitivity to mesh distortion. They work well with triangular or tetrahedral mesh that can be automatically generated, and hence are ideal for automated computations and adaptive analyses. Some S-FEM models can also produce upper bound solution for force driving problems, which is an excellent unique complementary feature to FEM. Because of these attractive properties, S-FEM has been applied to numerous problems in the disciplines of material mechanics, biomechanics, fracture mechanics, plates and shells, dynamics, acoustics, heat transfer and fluid–structure interactions. This paper reviews the developments and applications of the S-FEM in the past ten years. We hope this review can shed light on further theoretical development of S-FEM and more complex practical applications in future.

204 citations

Journal ArticleDOI
TL;DR: The meshless local radial point interpolation method (LRPIM) is adopted to simulate the two-dimensional nonlinear sine-Gordon (S-G) equation and a simple predictor–corrector scheme is performed to eliminate the nonlinearity.

184 citations

Journal ArticleDOI
TL;DR: A review of the recent developments of smoothed particle hydrodynamics (SPH) method and its typical applications in fluid-structure interactions in ocean engineering can be found in this article.
Abstract: In ocean engineering, the applications are usually related to a free surface which brings so many interesting physical phenomena (e.g. water waves, impacts, splashing jets, etc.). To model these complex free surface flows is a tough and challenging task for most computational fluid dynamics (CFD) solvers which work in the Eulerian framework. As a Lagrangian and meshless method, smoothed particle hydrodynamics (SPH) offers a convenient tracking for different complex boundaries and a straightforward satisfaction for different boundary conditions. Therefore SPH is robust in modeling complex hydrodynamic problems characterized by free surface boundaries, multiphase interfaces or material discontinuities. Along with the rapid development of the SPH theory, related numerical techniques and high-performance computing technologies, SPH has not only attracted much attention in the academic community, but also gradually gained wide applications in industrial circles. This paper is dedicated to a review of the recent developments of SPH method and its typical applications in fluid-structure interactions in ocean engineering. Different numerical techniques for improving numerical accuracy, satisfying different boundary conditions, improving computational efficiency, suppressing pressure fluctuations and preventing the tensile instability, etc., are introduced. In the numerical results, various typical fluid-structure interaction problems or multiphase problems in ocean engineering are described, modeled and validated. The prospective developments of SPH in ocean engineering are also discussed.

145 citations

Journal ArticleDOI
TL;DR: In this paper, a meshless local Petrov-Galerkin (MLPG) method is given to obtain the numerical solution of the coupled equations in velocity and magnetic field for unsteady magnetohydrodynamic (MHD) flow through a pipe of rectangular section having arbitrary conducting walls.

139 citations