Lu, Ye; Mojumder, Satyajit; Guo, Jiachen; Li, Yangfan; Liu, Wing Kam Extended tensor decomposition model reduction methods: training, prediction, and design under uncertainty. (English) Zbl 07823435 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116550, 27 p. (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{Y. Lu} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116550, 27 p. (2024; Zbl 07823435) Full Text: DOI arXiv
Xue, Tianju; Liao, Shuheng; Gan, Zhengtao; Park, Chanwook; Xie, Xiaoyu; Liu, Wing Kam; Cao, Jian JAX-FEM: a differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science. (English) Zbl 1526.74068 Comput. Phys. Commun. 291, Article ID 108802, 15 p. (2023). MSC: 74S05 74G75 74P15 68T05 68T07 PDFBibTeX XMLCite \textit{T. Xue} et al., Comput. Phys. Commun. 291, Article ID 108802, 15 p. (2023; Zbl 1526.74068) Full Text: DOI arXiv
Lyu, Yuhui; Pathirage, Madura; Ramyar, Elham; Liu, Wing Kam; Cusatis, Gianluca Machine learning meta-models for fast parameter identification of the lattice discrete particle model. (English) Zbl 1526.74072 Comput. Mech. 72, No. 3, 593-612 (2023). MSC: 74S99 74E30 74G75 74R99 68T05 PDFBibTeX XMLCite \textit{Y. Lyu} et al., Comput. Mech. 72, No. 3, 593--612 (2023; Zbl 1526.74072) Full Text: DOI
Park, Chanwook; Lu, Ye; Saha, Sourav; Xue, Tianju; Guo, Jiachen; Mojumder, Satyajit; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration. (English) Zbl 07719578 Comput. Mech. 72, No. 2, 383-409 (2023). MSC: 74S99 74S05 68T05 68T07 PDFBibTeX XMLCite \textit{C. Park} et al., Comput. Mech. 72, No. 2, 383--409 (2023; Zbl 07719578) Full Text: DOI
Li, Hengyang; Knapik, Stefan; Li, Yangfan; Park, Chanwook; Guo, Jiachen; Mojumder, Satyajit; Lu, Ye; Chen, Wei; Apley, Daniel W.; Liu, Wing Kam Convolution hierarchical deep-learning neural network tensor decomposition (C-HiDeNN-TD) for high-resolution topology optimization. (English) Zbl 1524.74386 Comput. Mech. 72, No. 2, 363-382 (2023). MSC: 74P15 65D18 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Mech. 72, No. 2, 363--382 (2023; Zbl 1524.74386) Full Text: DOI
Lu, Ye; Li, Hengyang; Zhang, Lei; Park, Chanwook; Mojumder, Satyajit; Knapik, Stefan; Sang, Zhongsheng; Tang, Shaoqiang; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. (English) Zbl 1527.74082 Comput. Mech. 72, No. 2, 333-362 (2023). MSC: 74S99 74S05 74S22 74F05 74P15 68T05 68T07 PDFBibTeX XMLCite \textit{Y. Lu} et al., Comput. Mech. 72, No. 2, 333--362 (2023; Zbl 1527.74082) Full Text: DOI
Saha, Sourav; Park, Chanwook; Knapik, Stefan; Guo, Jiachen; Huang, Owen; Liu, Wing Kam Deep learning discrete calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research. (English) Zbl 07719575 Comput. Mech. 72, No. 2, 311-331 (2023). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Saha} et al., Comput. Mech. 72, No. 2, 311--331 (2023; Zbl 07719575) Full Text: DOI arXiv
Huang, Owen; Saha, Sourav; Guo, Jiachen; Liu, Wing Kam An introduction to kernel and operator learning methods for homogenization by self-consistent clustering analysis. (English) Zbl 07691258 Comput. Mech. 72, No. 1, 195-219 (2023). MSC: 74-XX PDFBibTeX XMLCite \textit{O. Huang} et al., Comput. Mech. 72, No. 1, 195--219 (2023; Zbl 07691258) Full Text: DOI arXiv
Liu, Yingjian; Park, Chanwook; Lu, Ye; Mojumder, Satyajit; Liu, Wing Kam; Qian, Dong HiDeNN-FEM: a seamless machine learning approach to nonlinear finite element analysis. (English) Zbl 1523.74175 Comput. Mech. 72, No. 1, 173-194 (2023). MSC: 74S05 74S99 68T05 68T07 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Mech. 72, No. 1, 173--194 (2023; Zbl 1523.74175) Full Text: DOI
Liu, Wing Kam (ed.); Bessa, Miguel A. (ed.); Chinesta, Francisco (ed.); Li, Shaofan (ed.); Trask, Nathaniel (ed.) Special issue of computational mechanics on machine learning theories, modeling, and applications to computational materials science, additive manufacturing, mechanics of materials, design and optimization. (English) Zbl 07691248 Comput. Mech. 72, No. 1, 1-2 (2023). MSC: 00Bxx 74-XX PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) et al., Comput. Mech. 72, No. 1, 1--2 (2023; Zbl 07691248) Full Text: DOI
Gao, Jiaying; Mojumder, Satyajit; Zhang, Weizhao; Li, Hengyang; Suarez, Derick; He, Chunwang; Cao, Jian; Liu, Wing Kam Concurrent \(n\)-scale modeling for non-orthogonal woven composite. (English) Zbl 1501.74069 Comput. Mech. 70, No. 4, 853-866 (2022). MSC: 74S99 74E30 74-10 PDFBibTeX XMLCite \textit{J. Gao} et al., Comput. Mech. 70, No. 4, 853--866 (2022; Zbl 1501.74069) Full Text: DOI arXiv
Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam Multiresolution clustering analysis for efficient modeling of hierarchical material systems. (English) Zbl 1468.74092 Comput. Mech. 67, No. 5, 1293-1306 (2021). MSC: 74S99 74A99 74M25 68T05 PDFBibTeX XMLCite \textit{C. Yu} et al., Comput. Mech. 67, No. 5, 1293--1306 (2021; Zbl 1468.74092) Full Text: DOI
Zhang, Lei; Cheng, Lin; Li, Hengyang; Gao, Jiaying; Yu, Cheng; Domel, Reno; Yang, Yang; Tang, Shaoqiang; Liu, Wing Kam Hierarchical deep-learning neural networks: finite elements and beyond. (English) Zbl 07360501 Comput. Mech. 67, No. 1, 207-230 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Mech. 67, No. 1, 207--230 (2021; Zbl 07360501) Full Text: DOI
Tang, Shan; Yang, Hang; Qiu, Hai; Fleming, Mark; Liu, Wing Kam; Guo, Xu MAP123-EPF: a mechanistic-based data-driven approach for numerical elastoplastic modeling at finite strain. (English) Zbl 1506.74069 Comput. Methods Appl. Mech. Eng. 373, Article ID 113484, 20 p. (2021). MSC: 74C05 74S05 65N30 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113484, 20 p. (2021; Zbl 1506.74069) Full Text: DOI
Lu, Ye; Jones, Kevontrez Kyvon; Gan, Zhengtao; Liu, Wing Kam Adaptive hyper reduction for additive manufacturing thermal fluid analysis. (English) Zbl 1506.76143 Comput. Methods Appl. Mech. Eng. 372, Article ID 113312, 25 p. (2020). MSC: 76M99 76D99 PDFBibTeX XMLCite \textit{Y. Lu} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113312, 25 p. (2020; Zbl 1506.76143) Full Text: DOI
Zhang, Lei; Tang, Shaoqiang; Liu, Wing Kam Analytical expression of RKPM shape functions. (English) Zbl 1467.74094 Comput. Mech. 66, No. 6, 1343-1352 (2020). MSC: 74S22 65D17 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Mech. 66, No. 6, 1343--1352 (2020; Zbl 1467.74094) Full Text: DOI
Tang, Shan; Li, Ying; Qiu, Hai; Yang, Hang; Saha, Sourav; Mojumder, Satyajit; Liu, Wing Kam; Guo, Xu MAP123-EP: a mechanistic-based data-driven approach for numerical elastoplastic analysis. (English) Zbl 1442.74044 Comput. Methods Appl. Mech. Eng. 364, Article ID 112955, 21 p. (2020). MSC: 74C05 35Q74 74S05 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112955, 21 p. (2020; Zbl 1442.74044) Full Text: DOI
Gao, Jiaying; Shakoor, Modesar; Jinnai, Hiroshi; Kadowaki, Hiroshi; Seta, Eisuke; Liu, Wing Kam An inverse modeling approach for predicting filled rubber performance. (English) Zbl 1442.65141 Comput. Methods Appl. Mech. Eng. 357, Article ID 112567, 19 p. (2019). MSC: 65L60 74G75 PDFBibTeX XMLCite \textit{J. Gao} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112567, 19 p. (2019; Zbl 1442.65141) Full Text: DOI
Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam Self-consistent clustering analysis for multiscale modeling at finite strains. (English) Zbl 1441.74309 Comput. Methods Appl. Mech. Eng. 349, 339-359 (2019). MSC: 74S99 65N99 74C05 74C10 PDFBibTeX XMLCite \textit{C. Yu} et al., Comput. Methods Appl. Mech. Eng. 349, 339--359 (2019; Zbl 1441.74309) Full Text: DOI
Shakoor, Modesar; Gao, Jiaying; Liu, Zeliang; Liu, Wing Kam A data-driven multiscale theory for modeling damage and fracture of composite materials. (English) Zbl 1428.74229 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations IX. Selected papers of the ninth international workshop, Bonn, Germany, September 18–20, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 129, 135-148 (2019). MSC: 74S99 65T50 74E30 74R05 74A60 74N15 74M25 74S05 74B05 65R20 65H10 65N50 35Q74 PDFBibTeX XMLCite \textit{M. Shakoor} et al., Lect. Notes Comput. Sci. Eng. 129, 135--148 (2019; Zbl 1428.74229) Full Text: DOI
Cheng, Yi; Cheng, Hui; Zhang, Kaifu; Jones, Kevontrez Kyvon; Gao, Jiaying; Hu, Junshan; Li, Hailin; Liu, Wing Kam A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites. (English) Zbl 1465.74141 Comput. Mech. 64, No. 5, 1321-1337 (2019). MSC: 74Q15 74E30 74M25 74E05 74S05 PDFBibTeX XMLCite \textit{Y. Cheng} et al., Comput. Mech. 64, No. 5, 1321--1337 (2019; Zbl 1465.74141) Full Text: DOI
Yang, Hang; Guo, Xu; Tang, Shan; Liu, Wing Kam Derivation of heterogeneous material laws via data-driven principal component expansions. (English) Zbl 1467.74013 Comput. Mech. 64, No. 2, 365-379 (2019). MSC: 74B20 74A20 74E05 74S99 PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Mech. 64, No. 2, 365--379 (2019; Zbl 1467.74013) Full Text: DOI
Zhang, Lei; Tang, Shaoqiang; Yu, Cheng; Zhu, Xi; Liu, Wing Kam Fast calculation of interaction tensors in clustering-based homogenization. (English) Zbl 1467.74100 Comput. Mech. 64, No. 2, 351-364 (2019). MSC: 74S99 74Q05 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Mech. 64, No. 2, 351--364 (2019; Zbl 1467.74100) Full Text: DOI
Li, Hengyang; Kafka, Orion L.; Gao, Jiaying; Yu, Cheng; Nie, Yinghao; Zhang, Lei; Tajdari, Mahsa; Tang, Shan; Guo, Xu; Li, Gang; Tang, Shaoqiang; Cheng, Gengdong; Liu, Wing Kam Clustering discretization methods for generation of material performance databases in machine learning and design optimization. (English) Zbl 1470.74073 Comput. Mech. 64, No. 2, 281-305 (2019). MSC: 74S99 74A99 74P15 68T05 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Mech. 64, No. 2, 281--305 (2019; Zbl 1470.74073) Full Text: DOI
Liu, Wing Kam (ed.); Karniadakis, George (ed.); Tang, Shaoqiang (ed.); Yvonnet, Julien (ed.) A Computational Mechanics special issue on: Data-driven modeling and simulation – theory, methods, and applications. (English) Zbl 1476.00073 Comput. Mech. 64, No. 2, 275-277 (2019). MSC: 00B15 74-06 PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) et al., Comput. Mech. 64, No. 2, 275--277 (2019; Zbl 1476.00073) Full Text: DOI
Shakoor, Modesar; Kafka, Orion L.; Yu, Cheng; Liu, Wing Kam Data science for finite strain mechanical science of ductile materials. (English) Zbl 1467.74017 Comput. Mech. 64, No. 1, 33-45 (2019). MSC: 74C15 74A20 74A60 PDFBibTeX XMLCite \textit{M. Shakoor} et al., Comput. Mech. 64, No. 1, 33--45 (2019; Zbl 1467.74017) Full Text: DOI HAL
Wang, Zekun; Yan, Wentao; Liu, Wing Kam; Liu, Moubin Powder-scale multi-physics modeling of multi-layer multi-track selective laser melting with sharp interface capturing method. (English) Zbl 1468.74014 Comput. Mech. 63, No. 4, 649-661 (2019). MSC: 74F05 74S10 74S99 74N99 78A60 PDFBibTeX XMLCite \textit{Z. Wang} et al., Comput. Mech. 63, No. 4, 649--661 (2019; Zbl 1468.74014) Full Text: DOI
Li, Guohe; Gao, Jiaying; Kafka, Orion L.; Smith, Jacob; Liu, Wing Kam Implementation and application of the multiresolution continuum theory. (English) Zbl 1468.74067 Comput. Mech. 63, No. 4, 631-647 (2019). MSC: 74S05 74L15 74C99 PDFBibTeX XMLCite \textit{G. Li} et al., Comput. Mech. 63, No. 4, 631--647 (2019; Zbl 1468.74067) Full Text: DOI
Liu, Zeliang; Kafka, Orion L.; Yu, Cheng; Liu, Wing Kam Data-driven self-consistent clustering analysis of heterogeneous materials with crystal plasticity. (English) Zbl 1493.74017 Oñate, Eugenio (ed.) et al., Advances in computational plasticity. A book in honour of D. Roger J. Owen. Contributions of the 14th international conference on computational plasticity, fundamentals and applications, COMPLAS, Barcelona, Spain, September 5–7, 2017. Cham: Springer. Comput. Methods Appl. Sci. 46, 221-242 (2018). MSC: 74E05 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Methods Appl. Sci. 46, 221--242 (2018; Zbl 1493.74017) Full Text: DOI
Yan, Wentao; Lian, Yanping; Yu, Cheng; Kafka, Orion L.; Liu, Zeliang; Liu, Wing Kam; Wagner, Gregory J. An integrated process-structure-property modeling framework for additive manufacturing. (English) Zbl 1440.74147 Comput. Methods Appl. Mech. Eng. 339, 184-204 (2018). MSC: 74F25 74S05 PDFBibTeX XMLCite \textit{W. Yan} et al., Comput. Methods Appl. Mech. Eng. 339, 184--204 (2018; Zbl 1440.74147) Full Text: DOI
Bostanabad, Ramin; Liang, Biao; Gao, Jiaying; Liu, Wing Kam; Cao, Jian; Zeng, Danielle; Su, Xuming; Xu, Hongyi; Li, Yang; Chen, Wei Uncertainty quantification in multiscale simulation of woven fiber composites. (English) Zbl 1440.74102 Comput. Methods Appl. Mech. Eng. 338, 506-532 (2018). MSC: 74E30 74-10 60-08 PDFBibTeX XMLCite \textit{R. Bostanabad} et al., Comput. Methods Appl. Mech. Eng. 338, 506--532 (2018; Zbl 1440.74102) Full Text: DOI Link
Liu, Zeliang; Fleming, Mark; Liu, Wing Kam Microstructural material database for self-consistent clustering analysis of elastoplastic strain softening materials. (English) Zbl 1439.74063 Comput. Methods Appl. Mech. Eng. 330, 547-577 (2018). MSC: 74C05 74M25 74A45 74Q15 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Methods Appl. Mech. Eng. 330, 547--577 (2018; Zbl 1439.74063) Full Text: DOI
Tang, Shaoqiang; Zhang, Lei; Liu, Wing Kam From virtual clustering analysis to self-consistent clustering analysis: a mathematical study. (English) Zbl 1471.74079 Comput. Mech. 62, No. 6, 1443-1460 (2018). MSC: 74S99 74Q99 68T05 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Mech. 62, No. 6, 1443--1460 (2018; Zbl 1471.74079) Full Text: DOI
Lian, Yanping; Lin, Stephen; Yan, Wentao; Liu, Wing Kam; Wagner, Gregory J. A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing. (English) Zbl 1470.74072 Comput. Mech. 61, No. 5, 543-558 (2018). MSC: 74S99 74N15 68Q80 65Y05 PDFBibTeX XMLCite \textit{Y. Lian} et al., Comput. Mech. 61, No. 5, 543--558 (2018; Zbl 1470.74072) Full Text: DOI
Yan, Wentao; Lin, Stephen; Kafka, Orion L.; Lian, Yanping; Yu, Cheng; Liu, Zeliang; Yan, Jinhui; Wolff, Sarah; Wu, Hao; Ndip-Agbor, Ebot; Mozaffar, Mojtaba; Ehmann, Kornel; Cao, Jian; Wagner, Gregory J.; Liu, Wing Kam Data-driven multi-scale multi-physics models to derive process-structure-property relationships for additive manufacturing. (English) Zbl 1471.74081 Comput. Mech. 61, No. 5, 521-541 (2018). MSC: 74S99 74A99 PDFBibTeX XMLCite \textit{W. Yan} et al., Comput. Mech. 61, No. 5, 521--541 (2018; Zbl 1471.74081) Full Text: DOI
Liu, Wing Kam (ed.); Shin, Yung C. (ed.) Special issue on additive manufacturing: progress in modeling and simulation with experimental validations in additive manufacturing. (English) Zbl 1405.00023 Comput. Mech. 61, No. 5, 519-520 (2018). MSC: 00B15 74-06 PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) and \textit{Y. C. Shin} (ed.), Comput. Mech. 61, No. 5, 519--520 (2018; Zbl 1405.00023) Full Text: DOI
Bessa, M. A.; Bostanabad, R.; Liu, Z.; Hu, A.; Apley, Daniel W.; Brinson, C.; Chen, W.; Liu, Wing Kam A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality. (English) Zbl 1439.74014 Comput. Methods Appl. Mech. Eng. 320, 633-667 (2017). MSC: 74A20 74Sxx 74-05 74-10 65Nxx PDFBibTeX XMLCite \textit{M. A. Bessa} et al., Comput. Methods Appl. Mech. Eng. 320, 633--667 (2017; Zbl 1439.74014) Full Text: DOI
Lin, Stephen; Smith, Jacob; Liu, Wing Kam; Wagner, Gregory J. An energetically consistent concurrent multiscale method for heterogeneous heat transfer and phase transition applications. (English) Zbl 1439.74442 Comput. Methods Appl. Mech. Eng. 315, 100-120 (2017). MSC: 74S05 65M60 74A15 74N25 80A22 80M10 PDFBibTeX XMLCite \textit{S. Lin} et al., Comput. Methods Appl. Mech. Eng. 315, 100--120 (2017; Zbl 1439.74442) Full Text: DOI
Liu, Zeliang; Bessa, M. A.; Liu, Wing Kam Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials. (English) Zbl 1436.74070 Comput. Methods Appl. Mech. Eng. 306, 319-341 (2016). MSC: 74S05 74E05 65N99 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Methods Appl. Mech. Eng. 306, 319--341 (2016; Zbl 1436.74070) Full Text: DOI Link
Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. (English) Zbl 1398.74053 Comput. Mech. 58, No. 2, 213-234 (2016). MSC: 74E30 74S05 74Q15 74S30 74Q05 PDFBibTeX XMLCite \textit{O. Goury} et al., Comput. Mech. 58, No. 2, 213--234 (2016; Zbl 1398.74053) Full Text: DOI
Smith, Jacob; Xiong, Wei; Yan, Wentao; Lin, Stephen; Cheng, Puikei; Kafka, Orion L.; Wagner, Gregory J.; Cao, Jian; Liu, Wing Kam Linking process, structure, property, and performance for metal-based additive manufacturing: computational approaches with experimental support. (English) Zbl 1382.74140 Comput. Mech. 57, No. 4, 583-610 (2016). MSC: 74S30 74-05 PDFBibTeX XMLCite \textit{J. Smith} et al., Comput. Mech. 57, No. 4, 583--610 (2016; Zbl 1382.74140) Full Text: DOI
Tavares, Rodrigo P.; Melro, António R.; Bessa, Miguel A.; Turon, Albert; Liu, Wing K.; Camanho, Pedro P. Mechanics of hybrid polymer composites: analytical and computational study. (English) Zbl 1382.74035 Comput. Mech. 57, No. 3, 405-421 (2016). MSC: 74E30 74S30 PDFBibTeX XMLCite \textit{R. P. Tavares} et al., Comput. Mech. 57, No. 3, 405--421 (2016; Zbl 1382.74035) Full Text: DOI Link
Smith, Jacob; Xiong, Wei; Cao, Jian; Liu, Wing Kam Thermodynamically consistent microstructure prediction of additively manufactured materials. (English) Zbl 1382.74126 Comput. Mech. 57, No. 3, 359-370 (2016). MSC: 74S05 74F05 PDFBibTeX XMLCite \textit{J. Smith} et al., Comput. Mech. 57, No. 3, 359--370 (2016; Zbl 1382.74126) Full Text: DOI
Liu, Wing Kam (ed.); Fish, Jacob (ed.); Chen, J. S. (ed.); Camanho, Pedro P. (ed.) Preface: Special issue of Computational Mechanics on “Connecting multiscale mechanics to complex material design”. (English) Zbl 1333.00053 Comput. Mech. 57, No. 3, 355-357 (2016). MSC: 00B25 74-06 PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) et al., Comput. Mech. 57, No. 3, 355--357 (2016; Zbl 1333.00053) Full Text: DOI
Qin, Hao; Lindgren, Lars-Erik; Liu, Wing Kam; Smith, Jacob Implicit finite element formulation of multiresolution continuum theory. (English) Zbl 1423.76438 Comput. Methods Appl. Mech. Eng. 293, 114-130 (2015). MSC: 76S05 65N30 74A25 PDFBibTeX XMLCite \textit{H. Qin} et al., Comput. Methods Appl. Mech. Eng. 293, 114--130 (2015; Zbl 1423.76438) Full Text: DOI
Moore, John A.; Li, Ying; O’Connor, Devin T.; Stroberg, Wylie; Liu, Wing Kam Advancements in multiresolution analysis. (English) Zbl 1352.74411 Int. J. Numer. Methods Eng. 102, No. 3-4, 784-807 (2015). MSC: 74S05 65N30 35Q74 PDFBibTeX XMLCite \textit{J. A. Moore} et al., Int. J. Numer. Methods Eng. 102, No. 3--4, 784--807 (2015; Zbl 1352.74411) Full Text: DOI
Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam Particle method modeling of nonlocal multiresolution continua. (English) Zbl 1342.76097 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer (ISBN 978-3-319-06897-8/hbk; 978-3-319-06898-5/ebook). Lecture Notes in Computational Science and Engineering 100, 43-60 (2015). MSC: 76M28 74S05 76M10 PDFBibTeX XMLCite \textit{Z. Dai} et al., Lect. Notes Comput. Sci. Eng. 100, 43--60 (2015; Zbl 1342.76097) Full Text: DOI
Yan, Wentao; Smith, Jacob; Ge, Wenjun; Lin, Feng; Liu, Wing Kam Multiscale modeling of electron beam and substrate interaction: a new heat source model. (English) Zbl 1329.74077 Comput. Mech. 56, No. 2, 265-276 (2015). MSC: 74F05 74S05 PDFBibTeX XMLCite \textit{W. Yan} et al., Comput. Mech. 56, No. 2, 265--276 (2015; Zbl 1329.74077) Full Text: DOI
Tang, Shan; Yang, Yang; Peng, Xiang He; Liu, Wing Kam; Huang, Xiao Xu; Elkhodary, Khalil A semi-numerical algorithm for instability of compressible multilayered structures. (English) Zbl 1329.74289 Comput. Mech. 56, No. 1, 63-75 (2015). MSC: 74S05 74A50 74G60 65N30 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Mech. 56, No. 1, 63--75 (2015; Zbl 1329.74289) Full Text: DOI
Liu, Zeliang; Moore, John A.; Aldousari, Saad M.; Hedia, Hassan S.; Asiri, Saeed A.; Liu, Wing Kam A statistical descriptor based volume-integral micromechanics model of heterogeneous material with arbitrary inclusion shape. (English) Zbl 1329.74026 Comput. Mech. 55, No. 5, 963-981 (2015). MSC: 74A60 74A25 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Mech. 55, No. 5, 963--981 (2015; Zbl 1329.74026) Full Text: DOI
Zhao, Jifeng; Li, Ying; Liu, Wing Kam Predicting band structure of 3D mechanical metamaterials with complex geometry via XFEM. (English) Zbl 1334.74100 Comput. Mech. 55, No. 4, 659-672 (2015). MSC: 74S70 74S05 65M60 74E99 PDFBibTeX XMLCite \textit{J. Zhao} et al., Comput. Mech. 55, No. 4, 659--672 (2015; Zbl 1334.74100) Full Text: DOI
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam A meshfree unification: reproducing kernel peridynamics. (English) Zbl 1398.74452 Comput. Mech. 53, No. 6, 1251-1264 (2014). MSC: 74S30 65N30 76M25 74S05 65N35 PDFBibTeX XMLCite \textit{M. A. Bessa} et al., Comput. Mech. 53, No. 6, 1251--1264 (2014; Zbl 1398.74452) Full Text: DOI
Elkhodary, Khalil I.; Steven Greene, M.; Tang, Shan; Belytschko, Ted; Liu, Wing K. Archetype-blending continuum theory. (English) Zbl 1297.74087 Comput. Methods Appl. Mech. Eng. 254, 309-333 (2013). MSC: 74N15 74S05 PDFBibTeX XMLCite \textit{K. I. Elkhodary} et al., Comput. Methods Appl. Mech. Eng. 254, 309--333 (2013; Zbl 1297.74087) Full Text: DOI
Greene, M. Steven; Xu, Hongyi; Tang, Shan; Chen, Wei; Liu, Wing Kam A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems. (English) Zbl 1297.74011 Comput. Methods Appl. Mech. Eng. 254, 271-291 (2013). MSC: 74A40 74N15 PDFBibTeX XMLCite \textit{M. S. Greene} et al., Comput. Methods Appl. Mech. Eng. 254, 271--291 (2013; Zbl 1297.74011) Full Text: DOI
Tang, Shan; Kopacz, Adrian M.; Chan O’Keeffe, Stephanie; Olson, Gregory B.; Liu, Wing Kam Concurrent multiresolution finite element: formulation and algorithmic aspects. (English) Zbl 1398.74410 Comput. Mech. 52, No. 6, 1265-1279 (2013). MSC: 74S05 74R20 74A60 74C99 74A20 74E05 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Mech. 52, No. 6, 1265--1279 (2013; Zbl 1398.74410) Full Text: DOI
Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil Nonlinear finite elements for continua and structures. 2nd updated and extended ed. (English) Zbl 1279.74002 Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-63270-3/pbk). 832 p. (2013). MSC: 74-02 74S05 74B20 74Cxx PDFBibTeX XMLCite \textit{T. Belytschko} et al., Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Hoboken, NJ: John Wiley \& Sons (2013; Zbl 1279.74002)
Kopacz, Adrian M.; Liu, Wing K. Immersed molecular electrokinetic finite element method. (English) Zbl 1308.74150 Comput. Mech. 52, No. 1, 193-199 (2013). MSC: 74S05 74F15 PDFBibTeX XMLCite \textit{A. M. Kopacz} and \textit{W. K. Liu}, Comput. Mech. 52, No. 1, 193--199 (2013; Zbl 1308.74150) Full Text: DOI
Kopacz, Adrian M.; Patankar, Neelesh A.; Liu, Wing K. The immersed molecular finite element method. (English) Zbl 1253.76060 Comput. Methods Appl. Mech. Eng. 233-236, 28-39 (2012). MSC: 76M10 65M60 76M28 92C50 74A25 74F10 PDFBibTeX XMLCite \textit{A. M. Kopacz} et al., Comput. Methods Appl. Mech. Eng. 233--236, 28--39 (2012; Zbl 1253.76060) Full Text: DOI
Tang, Shan; Greene, M. Steven; Liu, Wing Kam A renormalization approach to model interaction in microstructured solids: application to porous elastomer. (English) Zbl 1253.74071 Comput. Methods Appl. Mech. Eng. 217-220, 213-225 (2012). MSC: 74N15 74S05 74M25 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Methods Appl. Mech. Eng. 217--220, 213--225 (2012; Zbl 1253.74071) Full Text: DOI
Gonella, Stefano; Greene, M. Steven; Liu, Wing Kam Characterization of heterogeneous solids via wave methods in computational microelasticity. (English) Zbl 1270.74036 J. Mech. Phys. Solids 59, No. 5, 959-974 (2011). MSC: 74E05 74M25 PDFBibTeX XMLCite \textit{S. Gonella} et al., J. Mech. Phys. Solids 59, No. 5, 959--974 (2011; Zbl 1270.74036) Full Text: DOI Link
Tian, Rong; To, Albert C.; Liu, Wing Kam Conforming local meshfree method. (English) Zbl 1235.74375 Int. J. Numer. Methods Eng. 86, No. 3, 335-357 (2011). MSC: 74S30 74R20 PDFBibTeX XMLCite \textit{R. Tian} et al., Int. J. Numer. Methods Eng. 86, No. 3, 335--357 (2011; Zbl 1235.74375) Full Text: DOI
To, Albert C.; Fu, Yao; Liu, Wing Kam Denoising methods for thermomechanical decomposition for quasi-equilibrium molecular dynamics simulations. (English) Zbl 1228.74118 Comput. Methods Appl. Mech. Eng. 200, No. 23-24, 1979-1992 (2011). MSC: 74S30 74A25 74F05 PDFBibTeX XMLCite \textit{A. C. To} et al., Comput. Methods Appl. Mech. Eng. 200, No. 23--24, 1979--1992 (2011; Zbl 1228.74118) Full Text: DOI
Qian, Dong; Phadke, Manas; Karpov, Eduard; Liu, Wing Kam A domain-reduction approach to bridging-scale simulation of one-dimensional nanostructures. (English) Zbl 1398.74049 Comput. Mech. 47, No. 1, 31-47 (2011). MSC: 74E15 74S05 74S30 74M25 PDFBibTeX XMLCite \textit{D. Qian} et al., Comput. Mech. 47, No. 1, 31--47 (2011; Zbl 1398.74049) Full Text: DOI Link
Chen, Shikui; Gonella, Stefano; Chen, Wei; Liu, Wing Kam A level set approach for optimal design of smart energy harvesters. (English) Zbl 1231.74358 Comput. Methods Appl. Mech. Eng. 199, No. 37-40, 2532-2543 (2010). MSC: 74P15 74S30 74F15 PDFBibTeX XMLCite \textit{S. Chen} et al., Comput. Methods Appl. Mech. Eng. 199, No. 37--40, 2532--2543 (2010; Zbl 1231.74358) Full Text: DOI
Greene, M. Steven; Liu, Yu; Chen, Wei; Liu, Wing Kam Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory. (English) Zbl 1225.74008 Comput. Methods Appl. Mech. Eng. 200, No. 1-4, 309-325 (2011). MSC: 74A20 74S60 PDFBibTeX XMLCite \textit{M. S. Greene} et al., Comput. Methods Appl. Mech. Eng. 200, No. 1--4, 309--325 (2010; Zbl 1225.74008) Full Text: DOI
Tian, Rong; Chan, Stephanie; Tang, Shan; Kopacz, Adrian M.; Wang, Jian-Sheng; Jou, Herng-Jeng; Siad, Larbi; Lindgren, Lars-Erik; Olson, Gregory B.; Liu, Wing Kam A multiresolution continuum simulation of the ductile fracture process. (English) Zbl 1200.74127 J. Mech. Phys. Solids 58, No. 10, 1681-1700 (2010). MSC: 74R20 74S05 PDFBibTeX XMLCite \textit{R. Tian} et al., J. Mech. Phys. Solids 58, No. 10, 1681--1700 (2010; Zbl 1200.74127) Full Text: DOI
Liu, Wing Kam; Qian, Dong; Gonella, Stefano; Li, Shaofan; Chen, Wei; Chirputkar, Shardool Multiscale methods for mechanical science of complex materials: bridging from quantum to stochastic multiresolution continuum. (English) Zbl 1197.74007 Int. J. Numer. Methods Eng. 83, No. 8-9, 1039-1080 (2010). MSC: 74A25 74S60 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Int. J. Numer. Methods Eng. 83, No. 8--9, 1039--1080 (2010; Zbl 1197.74007) Full Text: DOI
Mcveigh, Cahal; Liu, Wing Kam Multiresolution continuum modeling of micro-void assisted dynamic adiabatic shear band propagation. (English) Zbl 1193.74124 J. Mech. Phys. Solids 58, No. 2, 187-205 (2010). MSC: 74R10 74F05 PDFBibTeX XMLCite \textit{C. Mcveigh} and \textit{W. K. Liu}, J. Mech. Phys. Solids 58, No. 2, 187--205 (2010; Zbl 1193.74124) Full Text: DOI
Siad, Larbi; Liu, Wing Kam; Benabbes, Anouar Explicit numerical study of softening in porous ductile solids. (English) Zbl 1258.74069 Mech. Res. Commun. 36, No. 2, 236-245 (2009). MSC: 74F10 74S05 PDFBibTeX XMLCite \textit{L. Siad} et al., Mech. Res. Commun. 36, No. 2, 236--245 (2009; Zbl 1258.74069) Full Text: DOI
Liu, Wing Kam; Siad, Larbi; Tian, Rong; Lee, Sanghoon; Lee, Dockjin; Yin, Xiaolei; Chen, Wei; Chan, Stephanie; Olson, Gregory B.; Lindgen, Lars-Erik; Horstemeyer, Mark F.; Chang, Yoon-Suk; Choi, Jae-Boong; Kim, Young Jin Complexity science of multiscale materials via stochastic computations. (English) Zbl 1176.74058 Int. J. Numer. Methods Eng. 80, No. 6-7, 932-978 (2009). MSC: 74E30 74S60 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Int. J. Numer. Methods Eng. 80, No. 6--7, 932--978 (2009; Zbl 1176.74058) Full Text: DOI
Wang, X. Sheldon; Zhang, Lucy T.; Liu, Wing Kam Erratum to “On computational issues of immersed finite element methods”. (English) Zbl 1175.74087 J. Comput. Phys. 228, No. 18, 7125 (2009). MSC: 74S05 74F10 65N30 PDFBibTeX XMLCite \textit{X. S. Wang} et al., J. Comput. Phys. 228, No. 18, 7125 (2009; Zbl 1175.74087) Full Text: DOI
Kim, Ji Hoon; Liu, Wing Kam; Lee, Christopher Multi-scale solid oxide fuel cell materials modeling. (English) Zbl 1197.74027 Comput. Mech. 44, No. 5, 683-703 (2009). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 74E30 74F05 74F25 74S05 74S20 PDFBibTeX XMLCite \textit{J. H. Kim} et al., Comput. Mech. 44, No. 5, 683--703 (2009; Zbl 1197.74027) Full Text: DOI
Gonella, Stefano; To, Albert C.; Liu, Wing Kam Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting. (English) Zbl 1177.74155 J. Mech. Phys. Solids 57, No. 3, 621-633 (2009). MSC: 74F15 74M25 PDFBibTeX XMLCite \textit{S. Gonella} et al., J. Mech. Phys. Solids 57, No. 3, 621--633 (2009; Zbl 1177.74155) Full Text: DOI
McVeigh, Cahal; Liu, Wing Kam Multiresolution modeling of ductile reinforced brittle composites. (English) Zbl 1170.74321 J. Mech. Phys. Solids 57, No. 2, 244-267 (2009). MSC: 74E30 74S05 PDFBibTeX XMLCite \textit{C. McVeigh} and \textit{W. K. Liu}, J. Mech. Phys. Solids 57, No. 2, 244--267 (2009; Zbl 1170.74321) Full Text: DOI
Vernerey, Franck; Liu, Wing Kam; Moran, Brian; Olson, Gregory Multi-length scale micromorphic process zone model. (English) Zbl 1166.74031 Comput. Mech. 44, No. 3, 433-445 (2009). MSC: 74R10 74M25 74S05 74G70 PDFBibTeX XMLCite \textit{F. Vernerey} et al., Comput. Mech. 44, No. 3, 433--445 (2009; Zbl 1166.74031) Full Text: DOI
Wang, X. Sheldon; Zhang, L. T.; Liu, Wing Kam On computational issues of immersed finite element methods. (English) Zbl 1158.74049 J. Comput. Phys. 228, No. 7, 2535-2551 (2009); erratum ibid. 228, No. 18, 7125 (2009). MSC: 74S05 74F10 74-02 PDFBibTeX XMLCite \textit{X. S. Wang} et al., J. Comput. Phys. 228, No. 7, 2535--2551 (2009; Zbl 1158.74049) Full Text: DOI
Qian, Dong; Eason, Thomas; Li, Shaofan; Liu, Wing Kam Meshfree simulation of failure modes in thin cylinders subjected to combined loads of internal pressure and localized heat. (English) Zbl 1195.74297 Int. J. Numer. Methods Eng. 76, No. 8, 1159-1184 (2008). MSC: 74S30 74R20 74F05 PDFBibTeX XMLCite \textit{D. Qian} et al., Int. J. Numer. Methods Eng. 76, No. 8, 1159--1184 (2008; Zbl 1195.74297) Full Text: DOI
Yin, Xiaolei; Chen, Wei; To, Albert; McVeigh, Cahal; Liu, Wing Kam Statistical volume element method for predicting microstructure-constitutive property relations. (English) Zbl 1194.74291 Comput. Methods Appl. Mech. Eng. 197, No. 43-44, 3516-3529 (2008). MSC: 74Q15 74S60 PDFBibTeX XMLCite \textit{X. Yin} et al., Comput. Methods Appl. Mech. Eng. 197, No. 43--44, 3516--3529 (2008; Zbl 1194.74291) Full Text: DOI
Vernerey, Franck J.; Liu, Wing Kam; Moran, Brian; Olson, Gregory A micromorphic model for the multiple scale failure of heterogeneous materials. (English) Zbl 1171.74312 J. Mech. Phys. Solids 56, No. 4, 1320-1347 (2008). MSC: 74A45 74S05 PDFBibTeX XMLCite \textit{F. J. Vernerey} et al., J. Mech. Phys. Solids 56, No. 4, 1320--1347 (2008; Zbl 1171.74312) Full Text: DOI
Medyanik, Sergey N.; Liu, Wing Kam Multiple time scale method for atomistic simulations. (English) Zbl 1257.74178 Comput. Mech. 42, No. 4, 569-577 (2008). MSC: 74S30 74A25 74A55 PDFBibTeX XMLCite \textit{S. N. Medyanik} and \textit{W. K. Liu}, Comput. Mech. 42, No. 4, 569--577 (2008; Zbl 1257.74178) Full Text: DOI
To, Albert C.; Liu, Wing Kam; Kopacz, Adrian A finite temperature continuum theory based on interatomic potential in crystalline solids. (English) Zbl 1239.74005 Comput. Mech. 42, No. 4, 531-541 (2008). MSC: 74A25 74A15 74E15 PDFBibTeX XMLCite \textit{A. C. To} et al., Comput. Mech. 42, No. 4, 531--541 (2008; Zbl 1239.74005) Full Text: DOI
To, Albert C.; Liu, Wing Kam; Olson, Gregory B.; Belytschko, Ted; Chen, Wei; Shephard, Mark S.; Chung, Yip-Wah; Ghanem, Roger; Voorhees, Peter W.; Seidman, David N.; Wolverton, Chris; Chen, J. S.; Moran, Brian; Freeman, Arthur J.; Tian, Rong; Luo, Xiaojuan; Lautenschlager, Eric; Challoner, A. Dorian Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system. (English) Zbl 1421.74084 Comput. Mech. 42, No. 4, 485-510 (2008). MSC: 74M25 74S99 74-02 PDFBibTeX XMLCite \textit{A. C. To} et al., Comput. Mech. 42, No. 4, 485--510 (2008; Zbl 1421.74084) Full Text: DOI
Wang, Hongwu; Chessa, Jack; Liu, Wing K.; Belytschko, Ted The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressibility and thin members. (English) Zbl 1159.74437 Int. J. Numer. Methods Eng. 74, No. 1, 32-55 (2008). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{H. Wang} et al., Int. J. Numer. Methods Eng. 74, No. 1, 32--55 (2008; Zbl 1159.74437) Full Text: DOI
Qian, Dong; Liu, Wing Kam; Zheng, Qingjin Concurrent quantum/continuum coupling analysis of nanostructures. (English) Zbl 1159.74304 Comput. Methods Appl. Mech. Eng. 197, No. 41-42, 3291-3323 (2008). MSC: 74A25 PDFBibTeX XMLCite \textit{D. Qian} et al., Comput. Methods Appl. Mech. Eng. 197, No. 41--42, 3291--3323 (2008; Zbl 1159.74304) Full Text: DOI
McVeigh, Cahal; Liu, Wing Kam Linking microstructure and properties through a predictive multiresolution continuum. (English) Zbl 1159.74311 Comput. Methods Appl. Mech. Eng. 197, No. 41-42, 3268-3290 (2008). MSC: 74A60 74Q15 74A20 PDFBibTeX XMLCite \textit{C. McVeigh} and \textit{W. K. Liu}, Comput. Methods Appl. Mech. Eng. 197, No. 41--42, 3268--3290 (2008; Zbl 1159.74311) Full Text: DOI
Kopacz, Adrian Marcin; Liu, Wing Kam; Liu, Shu Q. Simulation and prediction of endothelial cell adhesion modulated by molecular engineering. (English) Zbl 1158.76455 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2340-2352 (2008). MSC: 76Z05 76M10 76M25 74F10 92C10 PDFBibTeX XMLCite \textit{A. M. Kopacz} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2340--2352 (2008; Zbl 1158.76455) Full Text: DOI
Lee, Tae-Rin; Chang, Yoon-Suk; Choi, Jae-Boong; Kim, Do Wan; Liu, Wing Kam; Kim, Young-Jin Immersed finite element method for rigid body motions in the incompressible Navier-Stokes flow. (English) Zbl 1158.76352 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2305-2316 (2008). MSC: 76M10 76D05 70E99 PDFBibTeX XMLCite \textit{T.-R. Lee} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2305--2316 (2008; Zbl 1158.76352) Full Text: DOI
Liu, Yaling; Oh, Kieseok; Bai, John G.; Chang, Cheng-Ling; Yeo, Woonhoog; Chung, Jae-Hyun; Lee, Kyong-Hoon; Liu, Wing Kam Manipulation of nanoparticles and biomolecules by electric field and surface tension. (English) Zbl 1158.76457 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2156-2172 (2008). MSC: 76Z05 76M25 76W05 92C10 92C35 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2156--2172 (2008; Zbl 1158.76457) Full Text: DOI
Liu, Wing Kam; McVeigh, Cahal Predictive multiscale theory for design of heterogeneous materials. (English) Zbl 1304.74016 Comput. Mech. 42, No. 2, 147-170 (2008). MSC: 74E05 74A25 74Q05 74E15 PDFBibTeX XMLCite \textit{W. K. Liu} and \textit{C. McVeigh}, Comput. Mech. 42, No. 2, 147--170 (2008; Zbl 1304.74016) Full Text: DOI
Farrell, David E.; Park, Harold S.; Liu, Wing Kam Implementation aspects of the bridging scale method and application to intersonic crack propagation. (English) Zbl 1194.74520 Int. J. Numer. Methods Eng. 71, No. 5, 583-605 (2007). MSC: 74S30 74R10 PDFBibTeX XMLCite \textit{D. E. Farrell} et al., Int. J. Numer. Methods Eng. 71, No. 5, 583--605 (2007; Zbl 1194.74520) Full Text: DOI
Liu, Yaling; Liu, Wing Kam; Belytschko, Ted; Patankar, Neelesh; To, Albert C.; Kopacz, Adrian; Chung, Jae-Hyun Immersed electrokinetic finite element method. (English) Zbl 1194.76126 Int. J. Numer. Methods Eng. 71, No. 4, 379-405 (2007). MSC: 76M10 76W05 76T20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Int. J. Numer. Methods Eng. 71, No. 4, 379--405 (2007; Zbl 1194.76126) Full Text: DOI
Karpov, E. G.; Park, H. S.; Liu, Wing Kam A phonon heat bath approach for the atomistic and multiscale simulation of solids. (English) Zbl 1194.74526 Int. J. Numer. Methods Eng. 70, No. 3, 351-378 (2007). MSC: 74S30 74A25 82-08 PDFBibTeX XMLCite \textit{E. G. Karpov} et al., Int. J. Numer. Methods Eng. 70, No. 3, 351--378 (2007; Zbl 1194.74526) Full Text: DOI
Medyanik, Sergey N.; Liu, Wing Kam; Li, Shaofan On criteria for dynamic adiabatic shear band propagation. (English) Zbl 1238.74024 J. Mech. Phys. Solids 55, No. 7, 1439-1461 (2007). MSC: 74R20 74F05 PDFBibTeX XMLCite \textit{S. N. Medyanik} et al., J. Mech. Phys. Solids 55, No. 7, 1439--1461 (2007; Zbl 1238.74024) Full Text: DOI
Vernerey, Franck; Liu, Wing Kam; Moran, Brian Multi-scale micromorphic theory for hierarchical materials. (English) Zbl 1159.74314 J. Mech. Phys. Solids 55, No. 12, 2603-2651 (2007). MSC: 74A60 74A20 PDFBibTeX XMLCite \textit{F. Vernerey} et al., J. Mech. Phys. Solids 55, No. 12, 2603--2651 (2007; Zbl 1159.74314) Full Text: DOI
Kim, Do Wan; Liu, Wing Kam; Yoon, Young-Cheol; Belytschko, Ted; Lee, Sang-Ho Meshfree point collocation method with intrinsic enrichment for interface problems. (English) Zbl 1161.74053 Comput. Mech. 40, No. 6, 1037-1052 (2007). MSC: 74S30 PDFBibTeX XMLCite \textit{D. W. Kim} et al., Comput. Mech. 40, No. 6, 1037--1052 (2007; Zbl 1161.74053) Full Text: DOI
Farrell, D. E.; Karpov, E. G.; Liu, W. K. Algorithms for bridging scale method parameters. (English) Zbl 1161.74052 Comput. Mech. 40, No. 6, 965-978 (2007). MSC: 74S30 74A25 PDFBibTeX XMLCite \textit{D. E. Farrell} et al., Comput. Mech. 40, No. 6, 965--978 (2007; Zbl 1161.74052) Full Text: DOI
Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang Mathematical foundations of the immersed finite element method. (English) Zbl 1178.74170 Comput. Mech. 39, No. 3, 211-222 (2007). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Comput. Mech. 39, No. 3, 211--222 (2007; Zbl 1178.74170) Full Text: DOI
Liu, W. K.; Park, H. S.; Karpov, E. G.; Farrell, D. Bridging scale method and its applications. (English) Zbl 1125.74004 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations III. Selected papers based on the presentations at the 3rd international workshop, Bonn, Germany, September 12–15, 2005. Berlin: Springer (ISBN 3-540-46214-7/pbk). Lecture Notes in Computational Science and Engineering 57, 185-205 (2007). MSC: 74A25 74S30 74S05 74R99 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Lect. Notes Comput. Sci. Eng. 57, 185--205 (2007; Zbl 1125.74004)
Karpov, E. G.; Yu, H.; Park, H. S.; Liu, Wing Kam; Wang, Q. Jane; Qian, D. Multiscale boundary conditions in crystalline solids: theory and application to nanoindentation. (English) Zbl 1120.74396 Int. J. Solids Struct. 43, No. 21, 6359-6379 (2006). MSC: 74E15 74A60 74A25 PDFBibTeX XMLCite \textit{E. G. Karpov} et al., Int. J. Solids Struct. 43, No. 21, 6359--6379 (2006; Zbl 1120.74396) Full Text: DOI
McVeigh, Cahal; Liu, Wing Kam Prediction of central bursting during axisymmetric cold extrusion of a metal alloy containing particles. (English) Zbl 1120.74642 Int. J. Solids Struct. 43, No. 10, 3087-3105 (2006). MSC: 74M05 PDFBibTeX XMLCite \textit{C. McVeigh} and \textit{W. K. Liu}, Int. J. Solids Struct. 43, No. 10, 3087--3105 (2006; Zbl 1120.74642) Full Text: DOI