高效伟
从事力学中的数值方法方面的研究
个性化签名
- 姓名:高效伟
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学术头衔:
博士生导师
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学科领域:
统计力学
- 研究兴趣:从事力学中的数值方法方面的研究
高效伟,1983年7月获山西师范大学物理系理学学士学位,1986年12月获陕西机械学院水利系工学硕士学位,1999年7月获英国Glasgow 大学土木系博士学位。1986年8月至1994年12月在宁夏大学应用力学研究所和物理系工作,1991年被国家教委和国务院学位委员会授予“做出突出贡献的中国硕士学位获得者”荣誉称号。1994年12月,作为国家教委公派访问学者在英国伦敦城市大学工作一年。1995年获英国政府海外优秀青年学者奖学金和GLASGOW大学的研究奖学金资助,在GLASGOW大学土木系攻读博士学位,并于1999年7月获博士学位。1999年12月,到美国ARIZONA州立大学的航空系工作,承担一项美国宇航局(NASA)资助的研究项目,从事计算空气动力学和流固耦合方面的研究。2001年6月进入研究机构ZONA TECHNOLOGY工作,主要从事飞行器防热系统最优化设计以及粘性流体的边界元算法等方面的研究。2005年10月应聘来到东南大学工程力学系工作,主要从事粘性流体力学、传热学和飞行器防热系统方面的科研和教学工作。
从事力学中的数值方法方面的研究已有20多年的历史,在国内外学术刊物上发表论文70多篇, 其中作为第一作者的SCI检索的文章20多篇。与Davies博士合作并由英国剑桥大学出版社出版的专著“力学中的边界元程序设计”发表了国际上第一个非线性力学边界元程序。近年来提出的将任意区域积分转换成边界积分的径向积分法(RIM),为发展非线性问题的无网格边界元算法提供了数学基础。是国际边界单元法协会会员、中国力学学会会员、江苏省力学学会会员、南方计算力学联络委员会委员。是下列期刊的特约评审:
International Journal for Numerical Methods in Engineering
Communications in Numerical Methods in Engineering
International Journal for Numerical Methods in Fluids
Computational Mechanics
Engineering Analysis with Boundary Elements
Journal of computational and applied mathematics
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成果数
20
【期刊论文】PRACTICABLE BEM ANALYSIS OF FRICTIONAL BOLTS IN UNDERGROUND OPENING
高效伟, Yan-Chang Wang, Xiao-Wei Gaol
JOURNAL OF STRUCTURAL ENGINEERING MARCH 1998,-0001,():
-1年11月30日
In this paper, a new boundary element method for the interaction between frictional bolts and rock mass is presented by formulating the surface frictional forces of the bolts in terms of the displacements of the rock mass. The corresponding formulation for the underground openings supported by frictional bolts is derived. The action of the bolts on the rock mass is reduced to line integrals along the bolt length. Then the bolts are discretized into a number of quadratic elements. Analytical expressions are obtained when the source point coincides with one of the element nodes. Formulations for calculating the stress at internal points are also presented. The algebraic equations are established by the usual nodal collocation scheme. A computer code for the approach has been written based on the linear element program. Finally, two examples are presented to demonstrate the effectiveness of this method.
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【期刊论文】3-D infinite boundary elements for half-space problems
高效伟, Xiao-Wei Gao, Trevor G. Davies
,-0001,():
-1年11月30日
this paper presents a new infinite element approach for three-dimensional boundary: element analysis of half-space problems. The strongly singular integrals over the infinite surface are evaluated analytically by transforming the surface integrals into line integrals. The illustrative numerical results demonstrate the potential of the formulation. 0 1998 Elsevier Science Ltd. All rights reserved
BEM, infinite element, pier, foundation, half-space.,
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【期刊论文】An effective boundary element algorithm for 2D and 3D elastoplastic problems
高效伟, Xiao-Wei Gao, Trevor G. Davies
X. Gao, T. G. Davies. International Journal of Solids and Structures 37 (2000) 4987-5008,-0001,():
-1年11月30日
Novel methods are described for removing the strong singularities arising in the domain integrals of elastoplasticity, and for solving the non-linear equation set. The former employs a new transformation from domain integrals to (cell) boundary integrals. The number of system equations is minimised by using the plastic multiplier as the primary unknown and an incremental variable stiffness iterative algorithm is developed for solving these equations. Excellent convergence is achieved and some numerical examples demonstrate the algorithm's effectiveness.
Boundary element method, Elastoplastic problem, Singular domain integral, Variable stiffness iteration, Plastic Multiplier
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【期刊论文】ADAPTIVE INTEGRATION IN ELASTO-PLASTIC BOUNDARY ELEMENT ANALYSIS
高效伟, Xiao-Wei Gao, Trevor G. Davies
Journal of the Chinese Institute of Engineers, Vol. 23, No. 3, pp. 349-356 (2000),-0001,():
-1年11月30日
addaptive integration, elasto-plasticity, method boundary element
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【期刊论文】3D multi-region BEM with corners and edges
高效伟, X.-W. Gao, T.G. Davies
X. -W. Gao, T. G. Davies. International Journal of Solids and Structures 37 (2000) 1549-1560,-0001,():
-1年11月30日
A novel set of auxiliary equations, which supplement the fundamental boundary integral equations, for the treatment of corners and edges arising in discontinuous traction problems and at zonal intersections is derived. Based on these equations, an efficient linear 3D multi-region BEM algorithm is presented which can deal with arbitrarily many regions. Numerical examples demonstrate the effectiveness of this algorithm.
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高效伟, Xiao-Wei Gao, Ping-Chih Chen, Lei Tang
AIAA Journal Vol. 40, No. 8, August 2002,-0001,():
-1年11月30日
A nonlinear elastic boundary element method (NBEM) approach is developed as an innovative deforming mesh generator for computational aeroelastic simulation. The computational fluid dynamics (CFD) mesh is assumed to be embedded in an in finite nonlinear elastic medium of a hardening material, leading to the formulation of apseudononlinear elastostatic problem. Whereas the CFD surface mesh is treated as a boundary element model and the CFD flow field grid as domain sample points, the NBEM approach solves Navier’s equations using a particular solution scheme that removes the requirement of the domain integral in the conventional NBEM formulation. The NBEM approach has a unified feature that is applicable to all mesh systems, including unstructured, multiblock structured, and overset grids. An optimization strategy is employed to determine the optimum hardening material properties by minimizing the mesh distortion in the viscous region where grid orthogonality must be preserved. Three test cases are performed to demonstrate the robustness and effectiveness of the NBEM approach for deforming mesh generation.
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【期刊论文】Internal stresses in inelastic BEM using complex-variable differentiation
高效伟, X. W. Gao, D. D. Liu, P. C. Chen
Computational Mechanics 28 (2002) 40-46,-0001,():
-1年11月30日
A new approach is proposed for nonlinear boundary element methods in computing internal stresses accurately using a complex-variable formulation. In this approach, the internal stresses are obtained from the numerical derivatives of the displacement integral equations that involve only weakly singular integrals. The collocation points in the displacement integral equations are dened as complex variables whose imaginary part is a small step size for numerical derivatives. Unlike the finite difference method whose solution accuracy is step-size dependent, the complex-variable technique can provide ‘‘numerically-exact’’ derivatives of complicated functions, which is step-size independent in the small asymptotic limit. Mean while, it also circumvents the tedious analytical differentiation in the process. Consequently, the evaluation of the nonlinear stress increment only deals with kernels no more singular than that of the displacement increment. In addition, this technique can yield more accurate stresses for nodes that are near the boundary. Three examples are presented to demonstrate the robustness of this method.
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高效伟, X.-W. Gao
Transactions of the ASME Vol. 69, MARCH 2002,-0001,():
-1年11月30日
In this paper, a new and simple boundary element method without internal cells is presented for the analysis of elastoplastic problems, based on an effective transformation technique from domain integrals to boundary integrals. The strong singularities appearing in internal stress integral equations are removed by transforming the domain integrals to the boundary. Other weakly singular domain integrals are transformed to the boundary by approximating the initial stresses with radial basis functions combined with polynomials in global coordinates. Three numerical examples are presented to demonstrate the validity and effectiveness of the proposed method.
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高效伟, Xiao-Wei Gao
X. -W. Gao. Engineering Analysis with Boundary Elements 26 (2002) 905-916,-0001,():
-1年11月30日
In this paper, a simple and robust method, called the radial integration method, is presented for transforming domain integrals into equivalent boundary integrals. Any two- or three-dimensional domain integral can be evaluated in a unified way without the need to discretize the domain into internal cells. Domain integrals consisting of known functions can be directly and accurately transformed to the boundary, while for domain integrals including unknown variables, the transformation is accomplished by approximating these variables using radial basis functions. In the proposed method, weak singularities involved in the domain integrals are also explicitly transformed to the boundary integrals, so no singularities exist at internal points. Some analytical and numerical examples are presented to verify the validity of this method. q 2002 Elsevier Science Ltd. All rights reserved.
Boundary element method, Domain integral, Boundary integral, Radial integration, Radial basis function, Dual reciprocity method
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【期刊论文】Boundary element analysis in thermoelasticity with and without internal cells
高效伟, Xiao-Wei Gao
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2003; 57: 975-990,-0001,():
-1年11月30日
In this paper, a set of internal stress integral equations is derived for solving thermoelastic problems.A jump term and a strongly singular domain integral associated with the temperature of the material are produced in these equations. The strongly singular domain integral is then regularizedusing a semi-analytical technique. To avoid the requirement of discretizing the domain into internal cells,domain integrals included in both displacement and internal stress integral equations are transformedinto equivalent boundary integrals using the radial integration method (RIM). Two numerical examples for 2D and 3D, respectively, are presented to verify the derived formulations.
boundary element method, thermoelasticity, radial integration method, domain integral, cell-integration
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