1 功能梯度磁电弹材料切口强度边界元法研究（国家自然科学基金，2014-2016） 

2 芯片封装结构热力性能边界元法研究（国家自然科学基金，2012-2014） 

3 广义T应力影响焊接结构安全研究（安徽省自然科学基金，2011-2012） 

4 异质涂层结构界面端应力奇异行为边界元法研究（安徽省高校优秀青年人才基金项目，2009- 2010） 

5 异质薄形层合结构界面端应力奇异性研究（合肥工业大学博士专项基金，2008-2010） 

6 三维涂层结构界面粘接强度分析 （合肥工业大学科学研究发展基金，2008-2010）

1.   S.L. Yao, C.Z. Cheng, Z.R. Niu, N. Recho. Singularity analysis for 2D and 3D thermoelastic media containing V-notches. Journal of Thermal Stresses, 2016, 3911: 1356-1366. IF: 1.211

2.   C.Z. Cheng, S.Y. Ge, S.L. Yao, Z.R. Niu. Thermal stress singularity analysis for V-notches by natural boundary element method. Applied Mathematical Modelling, 2016, 40, 19-20: 8552-8563. IF:2.291

3.   C.Z. Cheng, S.L. Yao, J.L. Sun, Z.R. Niu. Singularity characteristic analysis for a V-notch in angularly heterogeneous moderately thick plate. International Journal of Mechanical Sciences, 2016, 115-116: 215-225. IF:2.481

4.   C.Z. Cheng, S.Y. Ge, S.L. Yao, Z.R. Niu, N. Recho. Singularity analysis for a V-notch with angularly inhomogeneous elastic properties. International Journal of Solids and Structures, 2016, 78-79: 138-148. IF:2.081

5.  C.Z. Cheng, X. Cheng, Z.R. Niu, N. Recho. Singularity characteristic analyses for magneto-electro-elastic V-notches. European Journal of Mechanics A/Solids, 2016, 57: 59-70. IF:2.453

6.  C. Z. Cheng, W. Zhou, Z. R. Niu, N. Recho. Stress singularity analysis for orthotropic V-notches in the generalized plane strain state. Fatigue & Fracture of Engineering Materials & Structures, 2015, 388: 881-896. IF:1.838

7.  C.Z. Cheng, S.L. Yao, Z.L. Han, N. Recho, Z.R. Niu . Evaluation of the singularity exponents and characteristic angular functions for piezoelectric V-notches under in plane and out of plane conditions. Theoretical and Applied Fracture Mechanics, 2015, 76: 50-59. IF:2.025

8.  C.Z. Cheng, Z.L. Han, H.L. Zhou, Z.R. Niu. Analysis of the temperature field in anisotropic coating-structures by the boundary element method. Engineering Analysis with Boundary Elements, 2015, 60:115-122. IF:1.862

9.  C. Z. Cheng, Z. L. Han, D. P. Wang, Z. R. Niu, N. Recho. Singularity analysis near the vertex of the V-notch in Reissner’s plate by coupling the asymptotic expansion technique with the interpolating matrix method. Fatigue & Fracture of Engineering Materials & Structures. 2015, 383: 300-314. IF:1.838

10.  C.Z. Cheng, Z.L. Han, S.L. Yao, Z.R. Niu, N. Recho. Analysis of heat flux singularity at 2D notch tip by singularity analysis method combined with boundary element technique. Engineering Analysis with Boundary Elements, 2014, 46:1-9. IF:1.862

11.  C.Z. Cheng, Z.R. Niu, N. Recho. Analysis of the stress singularity for a bi-material V-notch by the boundary element method. Applied Mathematical Modelling, 2013, 37: 9398-9408. IF:2.291

12.  C.Z. Cheng, Z.R. Niu, N. Recho, H.L. Zhou. Analyse the role of the non-singular stress in brittle fracture by BEM coupled with eigen-analysis. Fatigue & Fracture of Engineering Materials & Structures, 2012, 36, 416-426. IF:1.838

13.  C.Z. Cheng, Z.R. Niu, N. Recho. Effect of non-singular stress on the brittle fracture of V-notched structure. International Journal of Fracture, 2012, 174: 127-138. IF:1.642

14.  C.Z. Cheng, N. Recho, Z.R. Niu. Influence of the non-singular stress on the crack extension and fatigue life. Nuclear Engineering and Design, 2012, 248: 293-300 IF:0.967

15.  C.Z. Cheng, Z.R. Niu, N. Recho, Z.Y. Yang, R.Y. Ge. A natural stress boundary integral equation for calculating the near boundary stress field. Computers and Structures, 2011, 89:1449-1455 IF:2.452

16.  C.Z. Cheng, N. Recho, Z.R. Niu, H.L. Zhou. Effect of notch dimension on the fatigue life of V-notched structure. Nuclear Engineering and Design, 2011,241:3573-3579 IF:0.967

17.  C.Z. Cheng, Z.R. Niu, H.L. Zhou, N. Recho. Evaluation of multiple stress singularity orders of a V-notch by the boundary element method. Engineering Analysis with Boundary Elements, 2009, 33: 1145-1151 IF:1.862

18.  Z.R. Niu, C.Z. Cheng, J.Q. Ye, N. Recho. A new boundary element approach of modeling singular stress fields of plane V-notch problems. International Journal of Solids and Structures, 2009, 46: 2999-3008. IF:2.081

19.  Z.R. Niu, C.Z. Cheng, H.L. Zhou, Z.J. Hu. Analytic formulations for calculating nearly singular integrals in two-dimensional BEM. Engineering Analysis with Boundary Elements, 2007, 31: 949-964. IF:1.862

20.  Z.R. Niu, D.L. Gei, C.Z. Cheng, J.Q. Ye. Evaluation of the stress singularities of plane V-notches in bonded dissimilar materials. Applied Mathematical Modelling, 2009, 33: 1776-1792. IF:2.291

21.  Z.J. Hu, Z.R. Niu, C.Z. Cheng. A new semi-analytic algorithm of nearly singular integrals on higher order element in 3D potential BEM. Engineering Analysis with Boundary Elements, 2016, 63: 30-39. IF:1.862

22.  Z.R Niu, Z.J. Hu, C.Z. Cheng, H.L. Zhou. A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM. Engineering Analysis with Boundary Elements, 2015, 61: 42-51. IF:1.862

23.  H.L. Zhou, Z.R. Niu, C.Z. Cheng, Z.W Guan. Analytical integral algorithm applied to boundary layer effect and thin body effect in BEM for anisotropic potential problems. Computers & Structures, 2008, 86: 1656- 1671. IF:2.452

24.  H.L. Zhou, Z.R. Niu, C.Z. Cheng, Z.W Guan. Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies. Engineering Analysis with Boundary Elements, 2007, 31: 739-748. IF:1.862

25.  C.Z. Cheng, Z.R. Niu, H.L. Zhou, Z.J. Hu. Boundary element analysis of the temperature field in the orthotropic coating-structures. Journal of University of Science and Technology of China, 2008, 38 3: 320-325.

26.  Z.R. Niu, D.L. Ge, C.Z. Cheng, Z.J. Hu. Determining stress singularity exponents of plane V-notches in bonded bimaterial. Journal of University of Science and Technology of China, 2008, 38 3: 314-319.

27.  H.L Zhou, Z.Y. Yang , Z.R. Niu, C.Z. Cheng, X.X Wang. Inverse identification of boundary conditions for potential problems of thin body using BEM. Journal of University of Science and Technology of China, 2008, 38 4: 356-363.