Changzheng Cheng
Hefei University of Technology
Asymptotic expansionPhysicsGravitational singularityMathematical analysisFinite element methodSingularityPlane (geometry)Boundary value problemMaterials scienceStress fieldMathematicsOrdinary differential equationBoundary knot methodStress intensity factorBoundary (topology)Boundary element methodSingular boundary methodMatrix methodStress (mechanics)Singular integral
51Publications
10H-index
464Citations
Publications 44
Newest
#1Yifan Huang (Hefei University of Technology)H-Index: 1
#2Changzheng Cheng (Hefei University of Technology)H-Index: 10
Last. Huanlin Zhou (Hefei University of Technology)H-Index: 15
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Abstract Based on the asymptotic solutions for primer and gradient fields, two novel semi-analytical elements are respectively proposed to evaluate potential and flux density in the 2D domain with singularity. By setting two semi-analytical elements on both sides of the singular point, the physical fields in the vicinity of the singular point can be simulated, while boundary element method is implemented for the rest part. Due to asymptotic solutions, the first three singular coefficients are se...
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#2Bin HuH-Index: 2
Last. Changzheng ChengH-Index: 10
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The aim of this study is to determine the complete elastic–plastic stress asymptotic solutions at the plane V-notch tip with the two edges being clamped–clamped, free-clamped and free-friction. Firstly, the displacement and stress fields around the notch tip are expressed as asymptotic expansions, and then, these asymptotic expansions are substituted into the displacement–strain relation and the equilibrium equations to establish the ordinary differential equations (ODEs). Finally, the interpola...
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#1Yongyu Yang (Hefei University of Technology)H-Index: 1
#2Wei Pan (Hefei University of Technology)H-Index: 3
Last. Qiaoguo Wu (Hefei University of Technology)
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Abstract It is the singular term dominating the stress field near the vertex of a sharp notch, while the non-singular terms also play a non-ignorable role on the complete stress field. The non-singular stresses near the apex of anti-plane sharp notches are calculated and their roles on the fracture mechanics are analyzed in this paper. By coupling the singular characteristic analysis with the finite element method, the amplitude coefficients together with the singular orders and angular function...
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#1Zhilin Han (Donghua University)H-Index: 3
#2Sofia G. Mogilevskaya (UMN: University of Minnesota)H-Index: 23
Last. Zhongrong Niu (Hefei University of Technology)H-Index: 11
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#1Yifan Huang (Hefei University of Technology)H-Index: 1
#2Zhilin Han (Donghua University)H-Index: 3
Last. Huanlin Zhou (Hefei University of Technology)H-Index: 15
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Abstract In the steady state heat conduction problem, the heat flux could be infinite at the re-entrant corner, at the point where the boundary condition is discontinuous, or at the place where the material properties are changing abruptly. The conventional numerical methods, such as the finite element method (FEM) and the boundary element method (BEM), have difficulties in analyzing the singular heat flux field. Herein, a new singular element employed in the boundary integral equation is develo...
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#1Bin Hu (Hefei University of Technology)H-Index: 2
#2Zhongrong Niu (Hefei University of Technology)H-Index: 11
Last. Changzheng Cheng (Hefei University of Technology)H-Index: 10
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Abstract An efficient method is developed to determine the multiple term eigen-solutions of the elastic-plastic stress fields at the plane V-notch tip in power-law hardening materials. By introducing the asymptotic expansions of stress and displacement fields around the V-notch tip into the fundamental equations of elastic-plastic theory, the governing ordinary differential equations (ODEs) with the stress and displacement eigen-functions are established. Then the interpolating matrix method is ...
2 CitationsSource
#1Wei PanH-Index: 3
#2Yongyu YangH-Index: 1
Last. Zhongrong NiuH-Index: 11
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Because of geometric or material discontinuities, stress singularities can occur around the vertex of a V-notch. The singular order is an important parameter for characterizing the degree of the stress singularity. The present paper focuses on the calculation of the singular order for the anti-plane propagating V-notch in a composite material structure. Starting from the governing equation of elastodynamics and the displacement asymptotic expansion, an ordinary differential eigen equation with r...
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#1Zhilin Han (Donghua University)H-Index: 3
#2Yifan Huang (Hefei University of Technology)H-Index: 1
Last. Zhongrong Niu (Hefei University of Technology)H-Index: 11
view all 6 authors...
2 CitationsSource
#1Shanlong Yao (Hefei University of Technology)H-Index: 2
#1Shanlong Yao (Hefei University of Technology)H-Index: 3
Last. Jingchuan Li (Hefei University of Technology)H-Index: 1
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#1Shanlong Yao (Hefei University of Technology)H-Index: 2
#1Shanlong Yao (Hefei University of Technology)H-Index: 3
Last. Zhongrong Niu (Hefei University of Technology)H-Index: 11
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Abstract The singular behavior for multi-material V-notch notched plates is studied in this paper, considering both isotropic and anisotropic materials. Firstly, by introducing the asymptotic expansions of displacements near the apex of the sharp notch, the elastic governing equations are transformed into eigen ordinary differential equations. The stress singularity orders and eigen angular functions are then obtained solving the established equations by using the interpolating matrix method. Se...
1 CitationsSource