Grants per year
Personal profile
Research Interests
Development of multiscale theories, methods, and software for the design and analysis of large scale engineering material systems, materials design, manufacturing, bio-sensing, and drug delivery.
Education/Academic qualification
PhD, California Institute of Technology
… → 1981
MS, California Institute of Technology
… → 1977
Engineering Science , BS, (with highest honors), University of Illinois at Chicago
… → 1976
Research interests keywords
- Computational biology
- Computational nanotechnology
- Linear and nonlinear fluid structure interactions
- Modeling of MEMS and NEMS devices
- Multi-scale analysis and design
- Nonlinear finite elements
- Reproducing kernel particle and wavelets
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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MRI: Development of Multi-Material Printing and Multi-Modal Sensing Capabilities for Directed Energy Deposition
Guo, P., Cao, J., McCue, I. D., Willomitzer, F., Balogun, O., Chen, W., Chung, Y., Cossairt, O. S., Dunand, D. C., Ehmann, K., Liu, W. K., Stupp, S., Voorhees, P. W., Wagner, G. J. & Wang, Q. J.
9/1/22 → 8/31/26
Project: Research project
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Service Contract Between Northwestern University and Beijing Institute of Collaborative Innovation (BICI)
Beijing Institute of Collaborative Innovation
1/1/21 → 12/23/21
Project: Research project
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REU Supplement on Manipulating Nanoparticle-Modified Melt Pool Dynamics in Additive Manufacturing
12/1/19 → 11/30/23
Project: Research project
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Manipulating Nanoparticle-Modified Melt Pool Dynamics in Additive Manufacturing
12/1/19 → 11/30/23
Project: Research project
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Process modeling software for additive manufacturing of metals
Wagner, G. J., Ehmann, K., Fleming, M. A. & Liu, W. K.
Beijing Institute of Collaborative Innovation
9/1/18 → 5/31/20
Project: Research project
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An introduction to kernel and operator learning methods for homogenization by self-consistent clustering analysis
Huang, O., Saha, S., Guo, J. & Liu, W. K., Jul 2023, In: Computational Mechanics. 72, 1, p. 195-219 25 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
A State-of-the-Art Review on Machine Learning-Based Multiscale Modeling, Simulation, Homogenization and Design of Materials
Bishara, D., Xie, Y., Liu, W. K. & Li, S., Jan 2023, In: Archives of Computational Methods in Engineering. 30, 1, p. 191-222 32 p.Research output: Contribution to journal › Review article › peer-review
10 Scopus citations -
Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration
Park, C., Lu, Y., Saha, S., Xue, T., Guo, J., Mojumder, S., Apley, D. W., Wagner, G. J. & Liu, W. K., Aug 2023, In: Computational Mechanics. 72, 2, p. 383-409 27 p.Research output: Contribution to journal › Article › peer-review
4 Scopus citations -
Convolution Hierarchical Deep-learning Neural Networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond
Lu, Y., Li, H., Zhang, L., Park, C., Mojumder, S., Knapik, S., Sang, Z., Tang, S., Apley, D. W., Wagner, G. J. & Liu, W. K., Aug 2023, In: Computational Mechanics. 72, 2, p. 333-362 30 p.Research output: Contribution to journal › Article › peer-review
3 Scopus citations -
Convolution Hierarchical Deep-Learning Neural Network Tensor Decomposition (C-HiDeNN-TD) for high-resolution topology optimization
Li, H., Knapik, S., Li, Y., Park, C., Guo, J., Mojumder, S., Lu, Y., Chen, W., Apley, D. W. & Liu, W. K., Aug 2023, In: Computational Mechanics. 72, 2, p. 363-382 20 p.Research output: Contribution to journal › Article › peer-review
6 Scopus citations