## Xiao, Huafeng

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 Author ID: xiao.huafeng Published as: Xiao, Huafeng
 Documents Indexed: 43 Publications since 1986 Co-Authors: 15 Co-Authors with 16 Joint Publications 375 Co-Co-Authors
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### Co-Authors

 14 single-authored 4 Guo, Zhiming 4 Yu, Jian-She 3 Krawcewicz, Wieslaw Z. 2 Myong, Rho-Shin 2 Peng, Huaqin 2 Shi, Haiping 2 Zhu, Qing 1 Balanov, Zalman I. 1 Burnett, Joseph Vade 1 Chen, Yuming 1 Fugate, N. 1 Le, N. T. P. 1 Long, Yuhua 1 Lv, Yanli 1 Mousavi, S. E. 1 Roy, Christopher J. 1 Shen, Zupei 1 Sukumar, Natarajan 1 Wandzura, Stephen M. 1 Wu, Xuan 1 Xing, Yanyuan 1 Zheng, Xiaoxiao
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### Serials

 4 Journal of Elasticity 3 International Journal of Solids and Structures 2 Acta Mechanica 2 Journal of Computational Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Boundary Value Problems 1 Archives of Mechanics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Journal of the Royal Statistical Society. Series C. Applied Statistics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Difference Equations and Applications 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Journal of Zhengzhou University. Natural Science Edition 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Journal of Guangzhou University. Natural Science Edition 1 Communications in Mathematical Analysis 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Applied Analysis and Computation 1 Journal of Shanghai Normal University. Natural Sciences
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### Fields

 16 Ordinary differential equations (34-XX) 12 Mechanics of deformable solids (74-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 270 times in 23 Documents Cited by Year
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
2010
Symmetric quadrature rules on a triangle. Zbl 1050.65022
Wandzura, S.; Xiao, H.
2003
Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier-Stokes simulations: a data-driven, physics-informed Bayesian approach. Zbl 1371.76082
Xiao, H.; Wu, J.-L.; Wang, J.-X.; Sun, R.; Roy, C. J.
2016
Unified explicit basis-free expressions for time rate and conjugate stress of an arbitrary Hill’s strain. Zbl 0866.73008
Xiao, H.
1995
Hencky’s elasticity model and linear stress-strain relations in isotropic finite hyperelasticity. Zbl 1068.74008
Xiao, H.; Chen, L. S.
2002
Multiple periodic solutions with minimal period 4 of the delay differential equation $$\dot x(t)=-f(t,x(t-1))$$. Zbl 1270.34173
Yu, Jianshe; Xiao, Huafeng
2013
A triangular discontinuous Galerkin method for non-Newtonian implicit constitutive models of rarefied and microscale gases. Zbl 1351.76065
Le, N. T. P.; Xiao, H.; Myong, R. S.
2014
Computational simulations of microscale shock-vortex interaction using a mixed discontinuous Galerkin method. Zbl 1391.76135
Xiao, H.; Myong, R. S.
2014
On anisotropic invariants of a symmetric tensor: Crystal classes, quasi-crystal classes and others. Zbl 0924.15027
Xiao, H.
1998
Heteroclinic orbits for a discrete pendulum equation. Zbl 1232.39010
Xiao, Huafeng; Yu, Jianshe
2011
On anisotropic scalar functions of a single symmetric tensor. Zbl 0869.73011
Xiao, H.
1996
A unified exact analysis for the Poynting effects of cylindrical tubes made of Hill’s class of Hookean compressible elastic materials at finite strain. Zbl 1122.74007
Xiao, H.; He, L. H.
2007
A new representation theorem for elastic constitutive equations of cubic crystals. Zbl 0944.74019
Xiao, H.
1999
Two general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors. Zbl 0879.15032
Xiao, H.
1996
Multiplicity of periodic solutions to symmetric delay differential equations. Zbl 1288.47052
Krawcewicz, Wieslaw; Yu, Jianshe; Xiao, Huafeng
2013
On constitutive equations of Cauchy elastic solids: All kinds of crystals and quasicrystals. Zbl 0899.73014
Xiao, H.
1997
On symmetries and anisotropies of classical and micropolar linear elasticities: A new method based upon a complex vector basis and some systematic results. Zbl 0916.73004
Xiao, H.
1998
On isotropic extension of anisotropic tensor functions. Zbl 0879.15033
Xiao, H.
1996
A cumulative score control scheme. Zbl 0825.62731
Xiao, H.
1992
Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors. Zbl 0841.73007
Xiao, H.
1995
Multiple solutions with prescribed minimal period for second order odd Newtonian systems with symmetries. Zbl 1366.34059
Krawcewicz, Wieslaw; Lv, Yanli; Xiao, Huafeng
2016
A note on the minimal period problem for second order Hamiltonian systems. Zbl 1470.34123
Xiao, Huafeng
2014
Existence of multiple solutions of a second-order difference boundary value problem. Zbl 1188.39012
Zheng, Bo; Xiao, Huafeng
2010
On calculation of internal displacements and stresses in the region near surface of the body by boundary element method. Zbl 0614.73085
Shen, G.; Xiao, H.
1986
Hill’s class of compressible elastic materials and finite bending problems: exact solutions in unified form. Zbl 1236.74023
Xiao, H.; Yue, Z. F.; He, L. H.
2011
Multiplicity and minimality of periodic solutions to delay differential system. Zbl 1370.34126
Xiao, Huafeng; Guo, Zhiming
2014
An explicit, direct approach to obtain multi-axial elastic potentials which accurately match data of four benchmark tests for rubbery materials. II: general deformations. Zbl 1401.74047
Xiao, H.
2013
Bifurcation analysis of a stage-structured predator-prey model with prey refuge. Zbl 1419.34194
Zhu, Qing; Peng, Huaqin; Zheng, Xiaoxiao; Xiao, Huafeng
2019
Law of large numbers under the nonlinear expectation. Zbl 1230.60023
Yang, B.; Xiao, H.
2011
Bifurcation analysis of a stage-structured predator-prey model with prey refuge. Zbl 1419.34194
Zhu, Qing; Peng, Huaqin; Zheng, Xiaoxiao; Xiao, Huafeng
2019
Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier-Stokes simulations: a data-driven, physics-informed Bayesian approach. Zbl 1371.76082
Xiao, H.; Wu, J.-L.; Wang, J.-X.; Sun, R.; Roy, C. J.
2016
Multiple solutions with prescribed minimal period for second order odd Newtonian systems with symmetries. Zbl 1366.34059
Krawcewicz, Wieslaw; Lv, Yanli; Xiao, Huafeng
2016
A triangular discontinuous Galerkin method for non-Newtonian implicit constitutive models of rarefied and microscale gases. Zbl 1351.76065
Le, N. T. P.; Xiao, H.; Myong, R. S.
2014
Computational simulations of microscale shock-vortex interaction using a mixed discontinuous Galerkin method. Zbl 1391.76135
Xiao, H.; Myong, R. S.
2014
A note on the minimal period problem for second order Hamiltonian systems. Zbl 1470.34123
Xiao, Huafeng
2014
Multiplicity and minimality of periodic solutions to delay differential system. Zbl 1370.34126
Xiao, Huafeng; Guo, Zhiming
2014
Multiple periodic solutions with minimal period 4 of the delay differential equation $$\dot x(t)=-f(t,x(t-1))$$. Zbl 1270.34173
Yu, Jianshe; Xiao, Huafeng
2013
Multiplicity of periodic solutions to symmetric delay differential equations. Zbl 1288.47052
Krawcewicz, Wieslaw; Yu, Jianshe; Xiao, Huafeng
2013
An explicit, direct approach to obtain multi-axial elastic potentials which accurately match data of four benchmark tests for rubbery materials. II: general deformations. Zbl 1401.74047
Xiao, H.
2013
Heteroclinic orbits for a discrete pendulum equation. Zbl 1232.39010
Xiao, Huafeng; Yu, Jianshe
2011
Hill’s class of compressible elastic materials and finite bending problems: exact solutions in unified form. Zbl 1236.74023
Xiao, H.; Yue, Z. F.; He, L. H.
2011
Law of large numbers under the nonlinear expectation. Zbl 1230.60023
Yang, B.; Xiao, H.
2011
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
2010
Existence of multiple solutions of a second-order difference boundary value problem. Zbl 1188.39012
Zheng, Bo; Xiao, Huafeng
2010
A unified exact analysis for the Poynting effects of cylindrical tubes made of Hill’s class of Hookean compressible elastic materials at finite strain. Zbl 1122.74007
Xiao, H.; He, L. H.
2007
Symmetric quadrature rules on a triangle. Zbl 1050.65022
Wandzura, S.; Xiao, H.
2003
Hencky’s elasticity model and linear stress-strain relations in isotropic finite hyperelasticity. Zbl 1068.74008
Xiao, H.; Chen, L. S.
2002
A new representation theorem for elastic constitutive equations of cubic crystals. Zbl 0944.74019
Xiao, H.
1999
On anisotropic invariants of a symmetric tensor: Crystal classes, quasi-crystal classes and others. Zbl 0924.15027
Xiao, H.
1998
On symmetries and anisotropies of classical and micropolar linear elasticities: A new method based upon a complex vector basis and some systematic results. Zbl 0916.73004
Xiao, H.
1998
On constitutive equations of Cauchy elastic solids: All kinds of crystals and quasicrystals. Zbl 0899.73014
Xiao, H.
1997
On anisotropic scalar functions of a single symmetric tensor. Zbl 0869.73011
Xiao, H.
1996
Two general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors. Zbl 0879.15032
Xiao, H.
1996
On isotropic extension of anisotropic tensor functions. Zbl 0879.15033
Xiao, H.
1996
Unified explicit basis-free expressions for time rate and conjugate stress of an arbitrary Hill’s strain. Zbl 0866.73008
Xiao, H.
1995
Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors. Zbl 0841.73007
Xiao, H.
1995
A cumulative score control scheme. Zbl 0825.62731
Xiao, H.
1992
On calculation of internal displacements and stresses in the region near surface of the body by boundary element method. Zbl 0614.73085
Shen, G.; Xiao, H.
1986
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### Cited by 36 Authors

 4 Xiao, Huafeng 3 Meng, Qiong 3 Zhang, Qinqin 2 Balanov, Zalman I. 2 Krawcewicz, Wieslaw Z. 2 Long, Yuhua 2 Luo, Zhiguo 2 Nouri, Kazem 2 Shi, Haiping 2 Xie, Jingli 1 Burnett, Joseph Vade 1 Cesaroni, Annalisa 1 Cheng, Lifang 1 Deng, Xiaoqing 1 Ding, Juntang 1 Dipierro, Serena 1 García-Azpeitia, Carlos 1 Keramati, Bagher 1 Li, Qirui 1 Liu, Chungen 1 Liu, Jinsheng 1 Liu, Wen-Jie 1 Long, Yiming 1 Nazari, Marjan 1 Novaga, Matteo 1 Shen, Zupei 1 Stefaniak, Piotr 1 Valdinoci, Enrico 1 Wang, Mei 1 Wang, Qi 1 Wang, Shuli 1 Zeng, Yuhua 1 Zhang, Fuwei 1 Zhang, Jianming 1 Zhang, Litao 1 Zhang, Xiaosheng
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### Cited in 17 Serials

 3 Advances in Difference Equations 2 Journal of Inequalities and Applications 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 2 Journal of Applied Analysis and Computation 1 Journal of Mathematical Analysis and Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 International Journal of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Discrete Dynamics in Nature and Society 1 Communications in Mathematical Analysis 1 Journal of Fixed Point Theory and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 Open Mathematics
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### Cited in 7 Fields

 13 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX)