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1

Hierarchical Deep Learning Neural Network (HiDeNN): An artificial intelligence (AI) framework for computational science and engineering

Saha, Sourav, Gan, Zhengtao, Cheng, Lin, Gao, Jiaying, Kafka, Orion L., Xie, Xiaoyu, Li, Hengyang, Tajdari, Mahsa, Kim, H. Alicia, Liu, Wing Kam

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2021

File:

PDF, 31 KB

2021

2

A familial cluster of pneumonia associated with the 2019 novel coronavirus indicating person-to-person transmission: a study of a family cluster

Chan, Jasper Fuk-Woo, Yuan, Shuofeng, Kok, Kin-Hang, To, Kelvin Kai-Wang, Chu, Hin, Yang, Jin, Xing, Fanfan, Liu, Jieling, Yip, Cyril Chik-Yan, Poon, Rosana Wing-Shan, Tsoi, Hoi-Wah, Lo, Simon Kam-Fai

Journal:

Lancet (London, England)

Year:

2020

Language:

english

File:

PDF, 1.99 MB

english, 2020

3

Nonlinear finite element analysis of shells: Part I. three-dimensional shells

Thomas J.R. Hughes, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1981

Language:

english

File:

PDF, 2.12 MB

english, 1981

4

Reproducing kernel particle methods

Wing Kam Liu, Sukky Jun, Yi Fei Zhang

Journal:

International Journal for Numerical Methods in Fluids

Year:

1995

Language:

english

File:

PDF, 1.27 MB

english, 1995

5

Nonlinear finite element analysis of shells-part II. two-dimensional shells

Thomas J.R. Hughes, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1981

Language:

english

File:

PDF, 713 KB

english, 1981

6

A computational mechanics special issue on: data-driven modeling and simulation—theory, methods, and applications

Liu, Wing Kam, Karniakis, George, Tang, Shaoqiang, Yvonnet, Julien

Journal:

Computational Mechanics

Year:

2019

Language:

english

File:

PDF, 613 KB

english, 2019

7

Finite element analysis of incompressible viscous flows by the penalty function formulation

Thomas J.R. Hughes, Wing Kam Liu, Alec Brooks

Journal:

Journal of Computational Physics

Year:

1979

Language:

english

File:

PDF, 2.85 MB

english, 1979

8

Hourglass control in linear and nonlinear problems

Ted Belytschko, Jame Shau-Jen Ong, Wing Kam Liu, James M. Kennedy

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1984

Language:

english

File:

PDF, 1.59 MB

english, 1984

9

Wavelet and multiple scale reproducing kernel methods

Wing Kam Liu, Yijung Chen

Journal:

International Journal for Numerical Methods in Fluids

Year:

1995

Language:

english

File:

PDF, 1.30 MB

english, 1995

10

Reproducing kernel particle methods for structural dynamics

Wing Kam Liu, Sukky Jun, Shaofan Li, Jonathan Adee, Ted Belytschko

Journal:

International Journal for Numerical Methods in Engineering

Year:

1995

Language:

english

File:

PDF, 1.14 MB

english, 1995

11

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum

Wing Kam Liu, Dong Qian, Stefano Gonella, Shaofan Li, Wei Chen, Shardool Chirputkar

Journal:

International Journal for Numerical Methods in Engineering

Year:

2010

Language:

english

File:

PDF, 1.12 MB

english, 2010

12

Lagrangian-Eulerian finite element formulation for incompressible viscous flows

Thomas J.R. Hughes, Wing Kam Liu, Thomas K. Zimmermann

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1981

Language:

english

File:

PDF, 1.38 MB

english, 1981

13

Finite element stabilization matrices-a unification approach

Wing Kam Liu, Jame Shau-Jen Ong, Rasim Aziz Uras

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1985

Language:

english

File:

PDF, 1.87 MB

english, 1985

14

A method of computation for fluid structure interaction

Wing Kam Liu, Hsiu Guo Chang

Journal:

Computers & Structures

Year:

1985

Language:

english

File:

PDF, 924 KB

english, 1985

15

Numerical analysis of diamond buckles

Wing Kam Liu, Dennis Lam

Journal:

Finite Elements in Analysis and Design

Year:

1989

Language:

english

File:

PDF, 794 KB

english, 1989

16

Reproducing kernel element method Part II: Globally conforming Im/Cn hierarchies

Shaofan Li, Hongsheng Lu, Weimin Han, Wing Kam Liu, Daniel C. Simkins

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 880 KB

english, 2004

17

Reproducing kernel element method Part III: Generalized enrichment and applications

Hongsheng Lu, Shaofan Li, Daniel C. Simkins Jr., Wing Kam Liu, Jian Cao

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 835 KB

english, 2004

18

Reproducing kernel element method. Part IV: Globally compatible Cn (n⩾1) triangular hierarchy

Daniel C. Simkins Jr., Shaofan Li, Hongsheng Lu, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 631 KB

english, 2004

19

A comparison of two formulations to blend finite elements and mesh-free methods

Antonio Huerta, Sonia Fernández-Méndez, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 703 KB

english, 2004

20

Multi-scale micromorphic theory for hierarchical materials

Franck Vernerey, Wing Kam Liu, Brian Moran

Journal:

Journal of the Mechanics and Physics of Solids

Year:

2007

Language:

english

File:

PDF, 1.79 MB

english, 2007

21

A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality

Bessa, M.A., Bostanabad, R., Liu, Z., Hu, A., Apley, Daniel W., Brinson, C., Chen, W., Liu, Wing Kam

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2017

Language:

english

File:

PDF, 2.99 MB

english, 2017

22

Data-Driven Microstructure and Microhardness Design in Additive Manufacturing Using a Self-Organizing Map

Gan, Zhengtao, Li, Hengyang, Wolff, Sarah J., Bennett, Jennifer L., Hyatt, Gregory, Wagner, Gregory J., Cao, Jian, Liu, Wing Kam

Journal:

Engineering(BeiJing)

Year:

2019

Language:

english

File:

PDF, 1.03 MB

english, 2019

23

Explicit Reproducing Kernel Particle Methods for large deformation problems

Sukky Jun, Wing Kam Liu, Ted Belytschko

Journal:

International Journal for Numerical Methods in Engineering

Year:

1998

Language:

english

File:

PDF, 707 KB

english, 1998

24

Development of mixed time partition procedures for thermal analysis of structures

Journal:

International Journal for Numerical Methods in Engineering

Year:

1983

Language:

english

File:

PDF, 665 KB

english, 1983

25

On reduced matrix inversion for operator splitting methods

Ted Belytschko, Wing Kam Liu

Journal:

International Journal for Numerical Methods in Engineering

Year:

1984

Language:

english

File:

PDF, 111 KB

english, 1984

26

Efficient linear and nonlinear heat conduction with a quadrilateral element

Wing Kam Liu, Ted Belytschko

Journal:

International Journal for Numerical Methods in Engineering

Year:

1984

Language:

english

File:

PDF, 818 KB

english, 1984

27

Multiple quadrature underintegrated finite elements

Wing Kam Liu, Yu-Kan Hu, Ted Belytschko

Journal:

International Journal for Numerical Methods in Engineering

Year:

1994

Language:

english

File:

PDF, 1015 KB

english, 1994

28

Finite element procedures for fluid-structure interactions and application to liquid storage tanks

Journal:

Nuclear Engineering and Design

Year:

1981

Language:

english

File:

PDF, 1.07 MB

english, 1981

29

Reproducing kernel element method. Part I: Theoretical formulation

Wing Kam Liu, Weimin Han, Hongsheng Lu, Shaofan Li, Jian Cao

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 526 KB

english, 2004

30

Extended immersed boundary method using FEM and RKPM

Xiaodong Wang, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 879 KB

english, 2004

31

Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory

M. Steven Greene, Yu Liu, Wei Chen, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2011

Language:

english

File:

PDF, 3.82 MB

english, 2011

32

On criteria for dynamic adiabatic shear band propagation

Sergey N. Medyanik, Wing Kam Liu, Shaofan Li

Journal:

Journal of the Mechanics and Physics of Solids

Year:

2007

Language:

english

File:

PDF, 1.47 MB

english, 2007

33

A micromorphic model for the multiple scale failure of heterogeneous materials

Franck J. Vernerey, Wing Kam Liu, Brian Moran, Gregory Olson

Journal:

Journal of the Mechanics and Physics of Solids

Year:

2008

Language:

english

File:

PDF, 2.04 MB

english, 2008

34

Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition

Shaofan Li, Wing Kam Liu, Ares J. Rosakis, Ted Belytschko, Wei Hao

Journal:

International Journal of Solids and Structures

Year:

2002

Language:

english

File:

PDF, 1016 KB

english, 2002

35

Coupling of atomistic and continuum simulations using a bridging scale decomposition

Gregory J. Wagner, Wing Kam Liu

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 492 KB

english, 2003

36

Generalized multiple scale reproducing kernel particle methods

Wing Kam Liu, Yijung Chen, R.Aziz Uras, Chin Tang Chang

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1996

Language:

english

File:

PDF, 4.55 MB

english, 1996

37

Meshless methods for shear-deformable beams and plates

Brian M. Donning, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1998

Language:

english

File:

PDF, 1.55 MB

english, 1998

38

An improved reproducing kernel particle method for nearly incompressible finite elasticity

Jiun-Shyan Chen, Sangpil Yoon, Hui-Ping Wang, Wing Kam Liu

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2000

Language:

english

File:

PDF, 814 KB

english, 2000

39

The 3-D computational modeling of shear-dominated ductile failure in steel

Franck J. Vernerey, Cahal McVeigh, Wing Kam Liu, Brian Moran, Deepti Tewari, David M. Parks, Gregory B. Olson

Journal:

JOM Journal of the Minerals, Metals and Materials Society

Year:

2006

Language:

english

File:

PDF, 408 KB

english, 2006

40

Improvement of mixed time implicit-explicit algorithms for thermal analysis of structures

Wing Kam Liu, Yi Fei Zhang

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1983

Language:

english

File:

PDF, 1.19 MB

english, 1983

41

Mechanics of carbon nanotubes

Qian, Dong, Wagner, Gregory J, Liu, Wing Kam, Yu, Min-Feng, Ruoff, Rodney S

Journal:

Applied Mechanics Reviews

Year:

2002

Language:

english

File:

PDF, 2.46 MB

english, 2002

42

A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems

Greene, M. Steven, Xu, Hongyi, Tang, Shan, Chen, Wei, Liu, Wing Kam

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 2.76 MB

english, 2013

43

Predicting band structure of 3D mechanical metamaterials with complex geometry via XFEM

Zhao, Jifeng, Li, Ying, Liu, Wing Kam

Journal:

Computational Mechanics

Year:

2015

Language:

english

File:

PDF, 2.70 MB

english, 2015

44

Meshfree and particle methods and their applications

Li, Shaofan, Liu, Wing Kam

Journal:

Applied Mechanics Reviews

Year:

2002

Language:

english

File:

PDF, 734 KB

english, 2002

45

Molecular simulation guided constitutive modeling on finite strain viscoelasticity of elastomers

Ying Li,, Tang, Shan, Kröger, Martin, Wing Kam Liu,

Journal:

Journal of the Mechanics and Physics of Solids

Year:

2015

Language:

english

File:

PDF, 2.00 MB

english, 2015

46

Structural Manipulation of Ruthenium(II) Polypyridine Nitrone Complexes to Generate Phosphorogenic Bioorthogonal Reagents for Selective Cellular Labeling

Tang, Tommy Siu-Ming, Liu, Hua-Wei, Lo, Kenneth Kam-Wing

Journal:

Chemistry - A European Journal

Year:

2016

Language:

english

File:

PDF, 1.64 MB

english, 2016

47

High-order central difference scheme for Caputo fractional derivative

Ying, Yuping, Lian, Yanping, Tang, Shaoqiang, Liu, Wing Kam

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2017

Language:

english

File:

PDF, 337 KB

english, 2017

48

Uncertainty quantification in multiscale simulation of woven fiber composites

Bostanabad, Ramin, Liang, Biao, Gao, Jiaying, Liu, Wing Kam, Cao, Jian, Zeng, Danielle, Su, Xuming, Xu, Hongyi, Li, Yang, Chen, Wei

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2018

Language:

english

File:

PDF, 1.87 MB

english, 2018

49

A cellular automaton finite volume method for microstructure evolution during additive manufacturing

Lian, Yanping, Gan, Zhengtao, Yu, Cheng, Kats, Dmitriy, Kam Liu, Wing, Wagner, Gregory J.

Journal:

Materials & Design

Year:

2019

Language:

english

File:

PDF, 35.74 MB

english, 2019

50

Correction to: A computational mechanics special issue on: data-driven modeling and simulation—theory, methods, and applications

Liu, Wing Kam, Karniadakis, George, Tang, Shaoqiang, Yvonnet, Julien

Journal:

Computational Mechanics

Year:

2019

Language:

english

File:

PDF, 134 KB

english, 2019