Zhongrong Niu
Hefei University of Technology
Asymptotic expansionPhysicsGravitational singularityMathematical analysisFinite element methodSingularityBoundary value problemMaterials scienceStress fieldPlane stressMathematicsOrdinary differential equationBoundary knot methodStress intensity factorBoundary (topology)Boundary element methodSingular boundary methodMatrix methodStress (mechanics)Singular integral
53Publications
11H-index
536Citations
Publications 50
Newest
#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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#1Bin Hu (Hefei University of Technology)H-Index: 2
#2Zongjun Hu (Hefei University of Technology)H-Index: 5
Last. Xiaobao Li (Hefei University of Technology)
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Abstract A novel fast multipole boundary element method (FM-BEM) is proposed to analyze 2-D potential problems by using linear and three-node quadratic elements. In FM-BEM, fast multipole expansions are used for the integrals on elements which are far away from the source point, whereas direct evaluations are used for the integrals on elements which are close to the source point. The use of higher-order elements results in more complex forms of the integrands, which increases the burden in direc...
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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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#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
view all 5 authors...
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
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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
#1Zhilin Han (Donghua University)H-Index: 3
#2Changzheng Cheng (Hefei University of Technology)H-Index: 10
Last. Zhongrong Niu (Hefei University of Technology)H-Index: 11
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Abstract To describe the physical fields of the V-notch structure accurately, the structure is first divided into two parts, the notch tip sector containing singular stress field and the non-singular remained part. A twofold procedure is then carried out to obtain the stress intensity factors: (I) the asymptotic expansions are introduced to describe physical fields of the singular region and transform the elastic governing equation to the characteristic ordinary differential equations. The inter...
4 CitationsSource
#1Changzheng Cheng (Hefei University of Technology)H-Index: 10
#2Wei Pan (Hefei University of Technology)H-Index: 3
Last. Zhongrong Niu (Hefei University of Technology)H-Index: 11
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Abstract The stress intensity factor (SIF) is an important parameter to characterize the stress intensity near a crack tip. In order to successfully evaluate the SIFs for the interfacial crack emanating from a bi-material notch, a method coupling the boundary element method with the singularity asymptotic expansion technique is introduced. Then, the crack initiating from a sharp V-notch tip and the one emanating from a semicircle notch root are respectively taken into consideration, to investiga...
1 CitationsSource