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Author ID: xiao.heng Recent zbMATH articles by "Xiao, Heng"
Published as: Xiao, Heng; Xiao, H.
all top 5

Serials

18 Acta Mechanica
12 Journal of Elasticity
8 Archives of Mechanics
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 International Journal of Solids and Structures
7 Communications in Computational Physics
6 Computers and Fluids
5 Computer Methods in Applied Mechanics and Engineering
5 International Journal of Plasticity
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Computational Physics
4 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Applied Mathematics and Mechanics. (English Edition)
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 International Journal for Numerical Methods in Engineering
2 Archive of Applied Mechanics
2 Continuum Mechanics and Thermodynamics
2 Acta Mechanica Sinica
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 International Journal of Mechanical Sciences
1 Journal of Fluid Mechanics
1 Journal of the Mechanics and Physics of Solids
1 Meccanica
1 Mechanics Research Communications
1 Proceedings of the American Mathematical Society
1 Journal of the Royal Statistical Society. Series C. Applied Statistics
1 Journal of Southwest Jiaotong University
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 International Journal of Computational Fluid Dynamics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. A. Solids
1 Theoretical and Applied Mechanics
1 PAMM. Proceedings in Applied Mathematics and Mechanics

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 995 times in 290 Documents Cited by Year
Turbulence modeling in the age of data. Zbl 1412.76040
Duraisamy, Karthik; Iaccarino, Gianluca; Xiao, Heng
69
2019
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
63
2010
Logarithmic strain, logarithmic spin and logarithmic rate. Zbl 0909.73006
Xiao, H.; Bruhns, O. T.; Meyers, A.
63
1997
Elastoplasticity beyond small deformations. Zbl 1116.74005
Xiao, H.; Bruhns, O. T.; Meyers, A.
55
2006
Symmetric quadrature rules on a triangle. Zbl 1050.65022
Wandzura, S.; Xiao, H.
53
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.
38
2016
Hypo-elasticity model based upon the logarithmic stress rate. Zbl 0888.73011
Xiao, H.; Bruhns, O. T.; Meyers, A.
32
1997
Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate. Zbl 1036.74010
Bruhns, O. T.; Xiao, H.; Meyers, A.
32
1999
Strain rates and material spins. Zbl 0946.74004
Xiao, Heng; Timme Bruhns, Otto; Meyers, Albert Thomas Marie
31
1998
Constitutive inequalities for an isotropic elastic strain-energy function based on Hencky’s logarithmic strain tensor. Zbl 1048.74505
Bruhns, O. T.; Xiao, H.; Meyers, A.
30
2001
On objective corotational rates and their defining spin tensors. Zbl 0936.74012
Xiao, H.; Bruhns, O. T.; Meyers, A.
29
1998
The choice of objective rates in finite elastoplasticity: General results on the uniqueness of the logarithmic rate. Zbl 1046.74010
Xiao, H.; Bruhns, O. T.; Meyers, A.
28
2000
Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity. Zbl 0978.74011
Xiao, H.; Bruhns, O. T.; Meyers, A.
28
1999
Unified explicit basis-free expressions for time rate and conjugate stress of an arbitrary Hill’s strain. Zbl 0866.73008
Xiao, H.
21
1995
A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient. Zbl 1005.74015
Xiao, H.; Bruhns, O. T.; Meyers, A.
20
2000
Thermodynamic laws and consistent Eulerian formulation of finite elastoplasticity with thermal effects. Zbl 1419.74079
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
20
2007
Hencky’s logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity. Zbl 1032.74517
Xiao, Heng; Chen, Liang-Sen
17
2003
Explicit dual stress-strain and strain-stress relations of incompressible isotropic hyperelastic solids via deviatoric Hencky strain and Cauchy stress. Zbl 1063.74014
Xiao, H.; Bruhns, O. T.; Meyers, A.
17
2004
Hencky’s elasticity model and linear stress-strain relations in isotropic finite hyperelasticity. Zbl 1068.74008
Xiao, H.; Chen, L. S.
16
2002
On non-corotational rates of Oldroyd’s type and relevant issues in rate constitutive formulations. Zbl 1041.74015
Bruhns, Otto T.; Meyers, Albert; Xiao, Heng
14
2004
Hencky’s elasticity model with the logarithmic strain measure: A study on Poynting effect and stress response in torsion of tubes and rods. Zbl 1010.74008
Bruhns, O. T.; Xiao, H.; Meyers, A.
13
2000
A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity. Zbl 0970.74008
Xiao, H.; Bruhns, O. T.; Meyers, A.
13
1999
Finite bending of a rectangular block of an elastic Hencky material. Zbl 1078.74517
Bruhns, Otto Timme; Xiao, Heng; Meyers, Albert
12
2002
Objective corotational rates and unified work-conjugacy relation between Eulerian and Lagrangian strain and stress measures. Zbl 0965.74010
Xiao, H.; Bruhns, O. T.; Meyers, A.
12
1998
Some basic issues in traditional Eulerian formulations of finite elastoplasticity. Zbl 1098.74540
Bruhns, O. T.; Xiao, H.; Meyers, A.
10
2003
Large simple shear and torsion problems in kinematic hardening elasto-plasticity with logarithmic rate. Zbl 1046.74011
Bruhns, O. T.; Xiao, H.; Meyers, A.
10
2001
Reynolds-averaged Navier-Stokes equations with explicit data-driven Reynolds stress closure can be ill-conditioned. Zbl 1429.76066
Wu, Jinlong; Xiao, Heng; Sun, Rui; Wang, Qiqi
10
2019
A consistent dual-mesh framework for hybrid LES/RANS modeling. Zbl 1376.76017
Xiao, Heng; Jenny, Patrick
10
2012
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.
9
2014
An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials. I: Incompressible deformations. Zbl 1356.74007
Xiao, Heng
9
2012
Objective stress rates, path-dependence properties and non-integrability problems. Zbl 1071.74002
Xiao, H.; Bruhns, O. T.; Meyers, A.
8
2005
A weakened form of Ilyushin’s postulate and the structure of self-consistent Eulerian finite elastoplasticity. Zbl 1114.74364
Bruhns, O. T.; Xiao, H.; Meyers, A.
8
2005
Computational simulations of microscale shock-vortex interaction using a mixed discontinuous Galerkin method. Zbl 1391.76135
Xiao, H.; Myong, R. S.
8
2014
Direct relationship between the Lagrangian logarithmic strain, the Lagrangian stretching and the Lagrangian Kirchhoff stress. Zbl 0923.73002
Xiao, H.; Bruhns, O. T.; Meyers, A.
8
1998
Regularized ensemble Kalman methods for inverse problems. Zbl 1437.62116
Zhang, Xin-Lei; Michelén-Ströfer, Carlos; Xiao, Heng
8
2020
Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rate: Swift effect in torsion. Zbl 1007.74026
Xiao, H.; Bruhns, O. T.; Meyers, A.
7
2001
On anisotropic invariants of a symmetric tensor: Crystal classes, quasi-crystal classes and others. Zbl 0924.15027
Xiao, H.
7
1998
On anisotropic scalar functions of a single symmetric tensor. Zbl 0869.73011
Xiao, H.
6
1996
A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage. Zbl 1009.74010
Bruhns, O. T.; Xiao, H.; Meyers, A.
6
2001
General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids. Zbl 0828.73004
Xiao, H.
6
1995
The integrability criterion in finite elastoplasticity and its constitutive implications. Zbl 1107.74008
Xiao, H.; Bruhns, O. T.; Meyers, A.
6
2007
New results for the spin of the Eulerian triad and the logarithmic spin and rate. Zbl 1028.74003
Bruhns, O. T.; Xiao, H.; Meyers, A.
5
2002
Basic issues concerning finite strain measures and isotropic stress-deformation relations. Zbl 1089.74512
Xiao, Heng; Bruhns, Otto Timme; Meyers, Albert
5
2002
Objective stress rates, cyclic deformation paths, and residual stress accumulation. Zbl 1110.74016
Xiao, H.; Bruhns, O. T.; Meyers, A.
5
2006
Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation. Zbl 1343.74051
Zhang, Yu-Yu; Li, Hao; Wang, Xiao-Ming; Yin, Zheng-Nan; Xiao, Heng
5
2014
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.
4
2007
Bending of an elastoplastic strip with isotropic and kinematic hardening. Zbl 1036.74009
Bruhns, O. T.; Gupta, N. K.; Meyers, A. T. M.; Xiao, H.
4
2003
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.
4
1996
Large strain response of kinematic hardening elastoplasticity with the logarithmic rate: Swift effect in torsion. Zbl 0993.74011
Meyers, A.; Bruhns, O. T.; Xiao, H.
4
2000
Large-strain response of isotropic-hardening elastoplasticity with logarithmic rate: Swift effect in torsion. Zbl 1035.74013
Bruhns, O. T.; Xiao, H.; Meyers, A.
4
2001
A random matrix approach for quantifying model-form uncertainties in turbulence modeling. Zbl 1439.76037
Xiao, Heng; Wang, Jian-Xun; Ghanem, Roger G.
4
2017
New compressible hyper-elastic models for rubberlike materials. Zbl 1328.74018
Yuan, Lu; Gu, Zhi-Xiang; Yin, Zheng-Nan; Xiao, Heng
4
2015
A new representation theorem for elastic constitutive equations of cubic crystals. Zbl 0944.74019
Xiao, H.
4
1999
Flows over periodic hills of parameterized geometries: a dataset for data-driven turbulence modeling from direct simulations. Zbl 07196635
Xiao, Heng; Wu, Jin-Long; Laizet, Sylvain; Duan, Lian
4
2020
Learning nonlocal constitutive models with neural networks. Zbl 07415237
Zhou, Xu-Hui; Han, Jiequn; Xiao, Heng
4
2021
Bounded elastic potentials for rubberlike materials with strain-stiffening effects. Zbl 1333.74022
Jin, Tianfu; Yu, Lidan; Yin, Zhengnan; Xiao, Heng
3
2015
On isotropic extension of anisotropic tensor functions. Zbl 0879.15033
Xiao, H.
3
1996
On isotropic invariants of the elasticity tensor. Zbl 0945.74526
Xiao, Heng
3
1997
On minimal representations for constitutive equations of anisotropic elastic materials. Zbl 0889.73006
Xiao, Heng
3
1996
Representation of stress tensor perturbations with application in machine-learning-assisted turbulence modeling. Zbl 1440.76042
Wu, Jin-Long; Sun, Rui; Laizet, Sylvain; Xiao, Heng
3
2019
Objective stress rates in repeated elastic deformation cycles. Zbl 1391.74025
Meyers, Albert; Bruhns, Otto; Xiao, Heng
3
2005
Physics-informed covariance kernel for model-form uncertainty quantification with application to turbulent flows. Zbl 1458.76056
Wu, Jin-Long; Michelén-Ströfer, Carlos; Xiao, Heng
3
2019
On constitutive equations of Cauchy elastic solids: All kinds of crystals and quasicrystals. Zbl 0899.73014
Xiao, H.
3
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.
3
1998
Algorithms in a robust hybrid CFD-DEM solver for particle-laden flows. Zbl 1364.76164
Xiao, Heng; Sun, Jin
3
2011
On postulates of plasticity in classical elastoplasticity. Zbl 1064.74029
Xiao, H.; Bruhns, O. T.; Meyers, A.
2
2003
A model for rubberlike elasticity up to failure. Zbl 1329.74044
Yu, Lidan; Jin, Tianfu; Yin, Zhengnan; Xiao, Heng
2
2015
Elastic potentials with best approximation to rubberlike elasticity. Zbl 1323.74016
Xiao, Heng
2
2015
A cumulative score control scheme. Zbl 0825.62731
Xiao, H.
2
1992
Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors. Zbl 0841.73007
Xiao, H.
2
1995
Deformable micro-continua in which quantum mysteries reside. Zbl 1431.74017
Xiao, Heng
2
2019
Coupling of solvers with non-conforming computational domains in a dual-mesh hybrid LES/RANS framework. Zbl 1391.76257
Xiao, H.; Sakai, Y.; Henniger, R.; Wild, M.; Jenny, P.
2
2013
A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity. Zbl 1345.74016
Gu, Zhi-Xiang; Yuan, Lu; Yin, Zheng-Nan; Xiao, Heng
2
2015
Quantum enigma hidden in continuum mechanics. Zbl 1358.74005
Xiao, Heng
2
2017
Evaluation of ensemble methods for quantifying uncertainties in steady-state CFD applications with small ensemble sizes. Zbl 07200207
Zhang, Xinlei; Xiao, Heng; Gomez, Thomas; Coutier-Delgosha, Olivier
2
2020
Enforcing boundary conditions on physical fields in Bayesian inversion. Zbl 1442.76047
Michelén Ströfer, Carlos A.; Zhang, Xin-Lei; Xiao, Heng; Coutier-Delgosha, Olivier
2
2020
Finite elastoplastic \(J_{2}\)-flow models with strain recovery effects. Zbl 1397.74033
Xiao, H.; Bruhns, O. T.; Meyers, A.
1
2010
On isotropic extension of anisotropic constitutive functions via structural tensors. Zbl 1089.15030
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
1
2006
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.
1
1986
Phenomenological elastoplasticity view on strain recovery loops characterizing shape memory material. Zbl 1351.74012
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
1
2010
Large elastic deformations of soft solids up to failure: new hyperelastic models with error estimation. Zbl 1383.74012
Cao, Jie; Ding, Xie-Fei; Yin, Zheng-Nan; Xiao, Heng
1
2017
Analytical perturbation solution for large simple shear problems in elastic-perfect plasticity with the logarithmic stress rate. Zbl 0996.74017
Bruhns, O. T.; Meyers, A.; Xiao, H.
1
2001
The explicit solution of the matrix equation \(AX-XB = C\). Zbl 0849.15008
Chen, Yuming; Xiao, Heng
1
1995
Coupling effects of finite rotation and strain-induced anisotropy on monotonic and cyclic failure of metals. Zbl 1430.74014
Wang, Yu-Sen; Zhan, Lin; Xi, Hui-Feng; Xiao, Heng
1
2018
A unified theory of representations for scalar-, vector- and second order tensor-valued anisotropic functions of vectors and second order tensors. Zbl 0958.15027
Xiao, H.
1
1997
On anisotropic invariants of \(N\) symmetric second-order tensors: Crystal classes and quasi-crystal classes as subgroups of the cylindrical group \(D_{\infty h}\). Zbl 0942.74014
Xiao, H.; Bruhns, O. T.; Meyers, A.
1
1999
On representations of yield functions for crystals, quasicrystals and transversely isotropic solids. Zbl 0930.74012
Bruhns, Otto; Xiao, Heng; Meyers, Albert
1
1999
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.
1
2013
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.
1
2011
Law of large numbers under the nonlinear expectation. Zbl 1230.60023
Yang, B.; Xiao, H.
1
2011
Free rate-independent elastoplastic equations. Zbl 1298.74042
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
1
2014
Data-driven, physics-based feature extraction from fluid flow fields using convolutional neural networks. Zbl 1475.76075
Michelén Ströfer, Carlos; Wu, Jin-Long; Xiao, Heng; Paterson, Eric
1
2019
DAFI: an open-source framework for ensemble-based data assimilation and field inversion. Zbl 07419728
Michelén Ströfer, Carlos A.; Zhang, Xin-Lei; Xiao, Heng
1
2021
Enforcing imprecise constraints on generative adversarial networks for emulating physical systems. Zbl 1490.76120
Zeng, Yang; Wu, Jin-Long; Xiao, Heng
1
2021
Assimilation of disparate data for enhanced reconstruction of turbulent mean flows. Zbl 07426250
Zhang, Xin-Lei; Xiao, Heng; He, Guo-Wei; Wang, Shi-Zhao
1
2021
Frame-independent vector-cloud neural network for nonlocal constitutive modeling on arbitrary grids. Zbl 07442782
Zhou, Xu-Hui; Han, Jiequn; Xiao, Heng
1
2022
Ensemble gradient for learning turbulence models from indirect observations. Zbl 1491.76040
Ströfer, Carlos A. Michelén; Zhang, Xin-Lei; Xiao, Heng
1
2021
Frame-independent vector-cloud neural network for nonlocal constitutive modeling on arbitrary grids. Zbl 07442782
Zhou, Xu-Hui; Han, Jiequn; Xiao, Heng
1
2022
Learning nonlocal constitutive models with neural networks. Zbl 07415237
Zhou, Xu-Hui; Han, Jiequn; Xiao, Heng
4
2021
DAFI: an open-source framework for ensemble-based data assimilation and field inversion. Zbl 07419728
Michelén Ströfer, Carlos A.; Zhang, Xin-Lei; Xiao, Heng
1
2021
Enforcing imprecise constraints on generative adversarial networks for emulating physical systems. Zbl 1490.76120
Zeng, Yang; Wu, Jin-Long; Xiao, Heng
1
2021
Assimilation of disparate data for enhanced reconstruction of turbulent mean flows. Zbl 07426250
Zhang, Xin-Lei; Xiao, Heng; He, Guo-Wei; Wang, Shi-Zhao
1
2021
Ensemble gradient for learning turbulence models from indirect observations. Zbl 1491.76040
Ströfer, Carlos A. Michelén; Zhang, Xin-Lei; Xiao, Heng
1
2021
Regularized ensemble Kalman methods for inverse problems. Zbl 1437.62116
Zhang, Xin-Lei; Michelén-Ströfer, Carlos; Xiao, Heng
8
2020
Flows over periodic hills of parameterized geometries: a dataset for data-driven turbulence modeling from direct simulations. Zbl 07196635
Xiao, Heng; Wu, Jin-Long; Laizet, Sylvain; Duan, Lian
4
2020
Evaluation of ensemble methods for quantifying uncertainties in steady-state CFD applications with small ensemble sizes. Zbl 07200207
Zhang, Xinlei; Xiao, Heng; Gomez, Thomas; Coutier-Delgosha, Olivier
2
2020
Enforcing boundary conditions on physical fields in Bayesian inversion. Zbl 1442.76047
Michelén Ströfer, Carlos A.; Zhang, Xin-Lei; Xiao, Heng; Coutier-Delgosha, Olivier
2
2020
Turbulence modeling in the age of data. Zbl 1412.76040
Duraisamy, Karthik; Iaccarino, Gianluca; Xiao, Heng
69
2019
Reynolds-averaged Navier-Stokes equations with explicit data-driven Reynolds stress closure can be ill-conditioned. Zbl 1429.76066
Wu, Jinlong; Xiao, Heng; Sun, Rui; Wang, Qiqi
10
2019
Representation of stress tensor perturbations with application in machine-learning-assisted turbulence modeling. Zbl 1440.76042
Wu, Jin-Long; Sun, Rui; Laizet, Sylvain; Xiao, Heng
3
2019
Physics-informed covariance kernel for model-form uncertainty quantification with application to turbulent flows. Zbl 1458.76056
Wu, Jin-Long; Michelén-Ströfer, Carlos; Xiao, Heng
3
2019
Deformable micro-continua in which quantum mysteries reside. Zbl 1431.74017
Xiao, Heng
2
2019
Data-driven, physics-based feature extraction from fluid flow fields using convolutional neural networks. Zbl 1475.76075
Michelén Ströfer, Carlos; Wu, Jin-Long; Xiao, Heng; Paterson, Eric
1
2019
Coupling effects of finite rotation and strain-induced anisotropy on monotonic and cyclic failure of metals. Zbl 1430.74014
Wang, Yu-Sen; Zhan, Lin; Xi, Hui-Feng; Xiao, Heng
1
2018
A random matrix approach for quantifying model-form uncertainties in turbulence modeling. Zbl 1439.76037
Xiao, Heng; Wang, Jian-Xun; Ghanem, Roger G.
4
2017
Quantum enigma hidden in continuum mechanics. Zbl 1358.74005
Xiao, Heng
2
2017
Large elastic deformations of soft solids up to failure: new hyperelastic models with error estimation. Zbl 1383.74012
Cao, Jie; Ding, Xie-Fei; Yin, Zheng-Nan; Xiao, Heng
1
2017
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.
38
2016
New compressible hyper-elastic models for rubberlike materials. Zbl 1328.74018
Yuan, Lu; Gu, Zhi-Xiang; Yin, Zheng-Nan; Xiao, Heng
4
2015
Bounded elastic potentials for rubberlike materials with strain-stiffening effects. Zbl 1333.74022
Jin, Tianfu; Yu, Lidan; Yin, Zhengnan; Xiao, Heng
3
2015
A model for rubberlike elasticity up to failure. Zbl 1329.74044
Yu, Lidan; Jin, Tianfu; Yin, Zhengnan; Xiao, Heng
2
2015
Elastic potentials with best approximation to rubberlike elasticity. Zbl 1323.74016
Xiao, Heng
2
2015
A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity. Zbl 1345.74016
Gu, Zhi-Xiang; Yuan, Lu; Yin, Zheng-Nan; Xiao, Heng
2
2015
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.
9
2014
Computational simulations of microscale shock-vortex interaction using a mixed discontinuous Galerkin method. Zbl 1391.76135
Xiao, H.; Myong, R. S.
8
2014
Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation. Zbl 1343.74051
Zhang, Yu-Yu; Li, Hao; Wang, Xiao-Ming; Yin, Zheng-Nan; Xiao, Heng
5
2014
Free rate-independent elastoplastic equations. Zbl 1298.74042
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
1
2014
Coupling of solvers with non-conforming computational domains in a dual-mesh hybrid LES/RANS framework. Zbl 1391.76257
Xiao, H.; Sakai, Y.; Henniger, R.; Wild, M.; Jenny, P.
2
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.
1
2013
A consistent dual-mesh framework for hybrid LES/RANS modeling. Zbl 1376.76017
Xiao, Heng; Jenny, Patrick
10
2012
An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials. I: Incompressible deformations. Zbl 1356.74007
Xiao, Heng
9
2012
Algorithms in a robust hybrid CFD-DEM solver for particle-laden flows. Zbl 1364.76164
Xiao, Heng; Sun, Jin
3
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.
1
2011
Law of large numbers under the nonlinear expectation. Zbl 1230.60023
Yang, B.; Xiao, H.
1
2011
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
63
2010
Finite elastoplastic \(J_{2}\)-flow models with strain recovery effects. Zbl 1397.74033
Xiao, H.; Bruhns, O. T.; Meyers, A.
1
2010
Phenomenological elastoplasticity view on strain recovery loops characterizing shape memory material. Zbl 1351.74012
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
1
2010
Thermodynamic laws and consistent Eulerian formulation of finite elastoplasticity with thermal effects. Zbl 1419.74079
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
20
2007
The integrability criterion in finite elastoplasticity and its constitutive implications. Zbl 1107.74008
Xiao, H.; Bruhns, O. T.; Meyers, A.
6
2007
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.
4
2007
Elastoplasticity beyond small deformations. Zbl 1116.74005
Xiao, H.; Bruhns, O. T.; Meyers, A.
55
2006
Objective stress rates, cyclic deformation paths, and residual stress accumulation. Zbl 1110.74016
Xiao, H.; Bruhns, O. T.; Meyers, A.
5
2006
On isotropic extension of anisotropic constitutive functions via structural tensors. Zbl 1089.15030
Xiao, Heng; Bruhns, Otto T.; Meyers, Albert
1
2006
Objective stress rates, path-dependence properties and non-integrability problems. Zbl 1071.74002
Xiao, H.; Bruhns, O. T.; Meyers, A.
8
2005
A weakened form of Ilyushin’s postulate and the structure of self-consistent Eulerian finite elastoplasticity. Zbl 1114.74364
Bruhns, O. T.; Xiao, H.; Meyers, A.
8
2005
Objective stress rates in repeated elastic deformation cycles. Zbl 1391.74025
Meyers, Albert; Bruhns, Otto; Xiao, Heng
3
2005
Explicit dual stress-strain and strain-stress relations of incompressible isotropic hyperelastic solids via deviatoric Hencky strain and Cauchy stress. Zbl 1063.74014
Xiao, H.; Bruhns, O. T.; Meyers, A.
17
2004
On non-corotational rates of Oldroyd’s type and relevant issues in rate constitutive formulations. Zbl 1041.74015
Bruhns, Otto T.; Meyers, Albert; Xiao, Heng
14
2004
Symmetric quadrature rules on a triangle. Zbl 1050.65022
Wandzura, S.; Xiao, H.
53
2003
Hencky’s logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity. Zbl 1032.74517
Xiao, Heng; Chen, Liang-Sen
17
2003
Some basic issues in traditional Eulerian formulations of finite elastoplasticity. Zbl 1098.74540
Bruhns, O. T.; Xiao, H.; Meyers, A.
10
2003
Bending of an elastoplastic strip with isotropic and kinematic hardening. Zbl 1036.74009
Bruhns, O. T.; Gupta, N. K.; Meyers, A. T. M.; Xiao, H.
4
2003
On postulates of plasticity in classical elastoplasticity. Zbl 1064.74029
Xiao, H.; Bruhns, O. T.; Meyers, A.
2
2003
Hencky’s elasticity model and linear stress-strain relations in isotropic finite hyperelasticity. Zbl 1068.74008
Xiao, H.; Chen, L. S.
16
2002
Finite bending of a rectangular block of an elastic Hencky material. Zbl 1078.74517
Bruhns, Otto Timme; Xiao, Heng; Meyers, Albert
12
2002
New results for the spin of the Eulerian triad and the logarithmic spin and rate. Zbl 1028.74003
Bruhns, O. T.; Xiao, H.; Meyers, A.
5
2002
Basic issues concerning finite strain measures and isotropic stress-deformation relations. Zbl 1089.74512
Xiao, Heng; Bruhns, Otto Timme; Meyers, Albert
5
2002
Constitutive inequalities for an isotropic elastic strain-energy function based on Hencky’s logarithmic strain tensor. Zbl 1048.74505
Bruhns, O. T.; Xiao, H.; Meyers, A.
30
2001
Large simple shear and torsion problems in kinematic hardening elasto-plasticity with logarithmic rate. Zbl 1046.74011
Bruhns, O. T.; Xiao, H.; Meyers, A.
10
2001
Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rate: Swift effect in torsion. Zbl 1007.74026
Xiao, H.; Bruhns, O. T.; Meyers, A.
7
2001
A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage. Zbl 1009.74010
Bruhns, O. T.; Xiao, H.; Meyers, A.
6
2001
Large-strain response of isotropic-hardening elastoplasticity with logarithmic rate: Swift effect in torsion. Zbl 1035.74013
Bruhns, O. T.; Xiao, H.; Meyers, A.
4
2001
Analytical perturbation solution for large simple shear problems in elastic-perfect plasticity with the logarithmic stress rate. Zbl 0996.74017
Bruhns, O. T.; Meyers, A.; Xiao, H.
1
2001
The choice of objective rates in finite elastoplasticity: General results on the uniqueness of the logarithmic rate. Zbl 1046.74010
Xiao, H.; Bruhns, O. T.; Meyers, A.
28
2000
A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient. Zbl 1005.74015
Xiao, H.; Bruhns, O. T.; Meyers, A.
20
2000
Hencky’s elasticity model with the logarithmic strain measure: A study on Poynting effect and stress response in torsion of tubes and rods. Zbl 1010.74008
Bruhns, O. T.; Xiao, H.; Meyers, A.
13
2000
Large strain response of kinematic hardening elastoplasticity with the logarithmic rate: Swift effect in torsion. Zbl 0993.74011
Meyers, A.; Bruhns, O. T.; Xiao, H.
4
2000
Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate. Zbl 1036.74010
Bruhns, O. T.; Xiao, H.; Meyers, A.
32
1999
Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity. Zbl 0978.74011
Xiao, H.; Bruhns, O. T.; Meyers, A.
28
1999
A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity. Zbl 0970.74008
Xiao, H.; Bruhns, O. T.; Meyers, A.
13
1999
A new representation theorem for elastic constitutive equations of cubic crystals. Zbl 0944.74019
Xiao, H.
4
1999
On anisotropic invariants of \(N\) symmetric second-order tensors: Crystal classes and quasi-crystal classes as subgroups of the cylindrical group \(D_{\infty h}\). Zbl 0942.74014
Xiao, H.; Bruhns, O. T.; Meyers, A.
1
1999
On representations of yield functions for crystals, quasicrystals and transversely isotropic solids. Zbl 0930.74012
Bruhns, Otto; Xiao, Heng; Meyers, Albert
1
1999
Strain rates and material spins. Zbl 0946.74004
Xiao, Heng; Timme Bruhns, Otto; Meyers, Albert Thomas Marie
31
1998
On objective corotational rates and their defining spin tensors. Zbl 0936.74012
Xiao, H.; Bruhns, O. T.; Meyers, A.
29
1998
Objective corotational rates and unified work-conjugacy relation between Eulerian and Lagrangian strain and stress measures. Zbl 0965.74010
Xiao, H.; Bruhns, O. T.; Meyers, A.
12
1998
Direct relationship between the Lagrangian logarithmic strain, the Lagrangian stretching and the Lagrangian Kirchhoff stress. Zbl 0923.73002
Xiao, H.; Bruhns, O. T.; Meyers, A.
8
1998
On anisotropic invariants of a symmetric tensor: Crystal classes, quasi-crystal classes and others. Zbl 0924.15027
Xiao, H.
7
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.
3
1998
Logarithmic strain, logarithmic spin and logarithmic rate. Zbl 0909.73006
Xiao, H.; Bruhns, O. T.; Meyers, A.
63
1997
Hypo-elasticity model based upon the logarithmic stress rate. Zbl 0888.73011
Xiao, H.; Bruhns, O. T.; Meyers, A.
32
1997
On isotropic invariants of the elasticity tensor. Zbl 0945.74526
Xiao, Heng
3
1997
On constitutive equations of Cauchy elastic solids: All kinds of crystals and quasicrystals. Zbl 0899.73014
Xiao, H.
3
1997
A unified theory of representations for scalar-, vector- and second order tensor-valued anisotropic functions of vectors and second order tensors. Zbl 0958.15027
Xiao, H.
1
1997
On anisotropic scalar functions of a single symmetric tensor. Zbl 0869.73011
Xiao, H.
6
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.
4
1996
On isotropic extension of anisotropic tensor functions. Zbl 0879.15033
Xiao, H.
3
1996
On minimal representations for constitutive equations of anisotropic elastic materials. Zbl 0889.73006
Xiao, Heng
3
1996
Unified explicit basis-free expressions for time rate and conjugate stress of an arbitrary Hill’s strain. Zbl 0866.73008
Xiao, H.
21
1995
General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids. Zbl 0828.73004
Xiao, H.
6
1995
Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors. Zbl 0841.73007
Xiao, H.
2
1995
The explicit solution of the matrix equation \(AX-XB = C\). Zbl 0849.15008
Chen, Yuming; Xiao, Heng
1
1995
A cumulative score control scheme. Zbl 0825.62731
Xiao, H.
2
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.
1
1986
all top 5

Cited by 537 Authors

40 Xiao, Heng
19 Bruhns, Otto Timme
14 Meyers, Albert Thomas Marie
7 Neff, Patrizio
7 Yin, Zhengnan
5 He, Guowei
5 Korobeĭnikov, Sergeĭ Nikolaevich
5 Zhang, Xinlei
4 Burenin, Anatoliĭ Aleksandrovich
4 Ghiba, Ionel-Dumitrel
4 Kerner, Richard
4 Kovtanyuk, Larisa Valentinovich
4 Michelén Ströfer, Carlos A.
4 Naghdabadi, Reza
4 Panicaud, Benoit
4 Prokudin, Aleksandr Nikolaevich
4 Rouhaud, Emmanuelle
4 Wang, Mingchuan
3 Areias, Pedro M. A.
3 Brunton, Steven L.
3 Chen, Shiyi
3 Conti, Sergio
3 Dwight, Richard P.
3 Freed, Alan David
3 Goriely, Alain
3 Han, Jiequn
3 Karniadakis, George Em
3 Martin, Robert J.
3 Mosler, Jörn
3 Rabczuk, Timon
3 Reina, Celia
3 Roos, Arjen
3 Trusov, Peter V.
3 Wang, Shizhao
3 Wright, Thomas W.
3 Wu, JinLong
3 Yang, Xiaolei
3 Zhou, Xu-Hui
2 Alexandrov, Sergei Yu.
2 Altenbach, Holm
2 Altmeyer, Guillaume
2 Arghavani, J.
2 Auricchio, Ferdinando
2 Barretta, Raffaele
2 Barton, Philip T.
2 Begun, Alexander S.
2 Cai, Shengze
2 Cruz, Matheus A.
2 Dias-da-Costa, Daniel
2 Dui, Guansuo
2 Evans, John A.
2 Firsov, Sergeĭ Viktorovich
2 Fukagata, Koji
2 Fukami, Kai
2 Göktepe, Serdar
2 Gu, Zhi-Xiang
2 Jansen, Kenneth E.
2 Jenny, Patrick
2 Jin, Tianfu
2 Kim, Junhyuk
2 Kolev, Boris
2 Kutz, J. Nathan
2 Laizet, Sylvain
2 Lankeit, Johannes
2 Laurence, Dominique R.
2 Li, Binglin
2 Li, Zhaobin
2 Maulik, Romit
2 Miehe, Christian
2 Olive, Marc
2 Ortiz, Michael
2 Panoskaltsis, Vassilis P.
2 Pires, E. B.
2 Rajagopal, Kumbakonam Ramamani
2 Romano, Giovanni P.
2 Rubin, Miles B.
2 San, Omer
2 Sandberg, Richard D.
2 Schieße, P.
2 Schmelzer, Martin
2 Schomburg, Uwe
2 Seyed-Ahmadi, Arman
2 Śloderbach, Zdzisław
2 Soldatos, D.
2 Srinivasa, Arun R.
2 Stupkiewicz, Stanisław
2 Sultanov, L. U.
2 Tabor, Michael
2 Thompson, Roney L.
2 Van Goethem, Nicolas
2 Wachs, Anthony
2 Wang, Jian-Xun
2 Wang, Jianchun
2 Wang, Xiaoming
2 Wang, Zhi Cheng
2 Xi, Huifeng
2 Yang, Zixuan
2 Yu, Lidan
2 Yuan, Lu
2 Zaki, Tamer A.
...and 437 more Authors
all top 5

Cited in 59 Serials

35 Acta Mechanica
25 Journal of Fluid Mechanics
24 Computers and Fluids
22 Computer Methods in Applied Mechanics and Engineering
22 Journal of Computational Physics
19 Journal of Elasticity
12 International Journal of Engineering Science
10 Computational Mechanics
9 Journal of the Mechanics and Physics of Solids
9 Continuum Mechanics and Thermodynamics
7 Mathematics and Mechanics of Solids
6 Archive of Applied Mechanics
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 European Journal of Mechanics. A. Solids
6 Communications in Computational Physics
4 International Journal of Plasticity
4 International Journal of Solids and Structures
4 International Journal for Numerical Methods in Engineering
4 Journal of Applied Mechanics and Technical Physics
4 Lobachevskii Journal of Mathematics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Communications in Numerical Methods in Engineering
3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Archive for Rational Mechanics and Analysis
2 Quarterly of Applied Mathematics
2 Physica D
2 Applied Mathematical Modelling
2 Acta Mechanica Sinica
2 Mechanics of Solids
1 Computers & Mathematics with Applications
1 Moscow University Mechanics Bulletin
1 Physics Reports
1 SIAM Journal on Numerical Analysis
1 Computer Aided Geometric Design
1 Journal of Scientific Computing
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Review
1 Journal of Nonlinear Science
1 Russian Mathematics
1 SIAM Journal on Scientific Computing
1 Engineering Analysis with Boundary Elements
1 ELA. The Electronic Journal of Linear Algebra
1 Mathematical Problems in Engineering
1 International Journal of Computational Fluid Dynamics
1 Chaos
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Computational Geosciences
1 Engineering Computations
1 Nonlinear Analysis. Real World Applications
1 Archives of Computational Methods in Engineering
1 Analysis and Applications (Singapore)
1 Chebyshevskiĭ Sbornik
1 Kinetic and Related Models
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Research in the Mathematical Sciences
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Siberian Federal University. Mathematics & Physics

Citations by Year