Nie, Yinghao; Li, Zheng; Cheng, Gengdong Efficient prediction of the effective nonlinear properties of porous material by FEM-cluster based analysis (FCA). (English) Zbl 1506.74338 Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021). MSC: 74Q20 74S05 65N30 74F10 PDFBibTeX XMLCite \textit{Y. Nie} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021; Zbl 1506.74338) Full Text: DOI
Dong, Hao; Nie, Yufeng; Cui, Junzhi; Kou, Wenbo; Zou, Minqiang; Han, Junyan; Guan, Xiaofei; Yang, Zihao A wavelet-based learning approach assisted multiscale analysis for estimating the effective thermal conductivities of particulate composites. (English) Zbl 1506.74337 Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021). MSC: 74Q20 65T60 PDFBibTeX XMLCite \textit{H. Dong} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021; Zbl 1506.74337) Full Text: DOI
Hart, Kenneth A.; Rimoli, Julian J. Generation of statistically representative microstructures with direct grain geometry control. (English) Zbl 1506.74406 Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020). MSC: 74S05 74M25 65N30 74Q20 PDFBibTeX XMLCite \textit{K. A. Hart} and \textit{J. J. Rimoli}, Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020; Zbl 1506.74406) Full Text: DOI
Wu, Ling; Zulueta, Kepa; Major, Zoltan; Arriaga, Aitor; Noels, Ludovic Bayesian inference of non-linear multiscale model parameters accelerated by a deep neural network. (English) Zbl 1441.74192 Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020). MSC: 74Q20 62F15 62M45 65Z05 PDFBibTeX XMLCite \textit{L. Wu} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020; Zbl 1441.74192) Full Text: DOI Link
Cheng, Gengdong; Li, Xikui; Nie, Yinghao; Li, Hengyang FEM-cluster based reduction method for efficient numerical prediction of effective properties of heterogeneous material in nonlinear range. (English) Zbl 1440.74383 Comput. Methods Appl. Mech. Eng. 348, 157-184 (2019). MSC: 74S05 74Q20 PDFBibTeX XMLCite \textit{G. Cheng} et al., Comput. Methods Appl. Mech. Eng. 348, 157--184 (2019; Zbl 1440.74383) Full Text: DOI
Ju, X.; Mahnken, R. Model adaptivity on effective elastic properties coupled with adaptive FEM. (English) Zbl 1439.74428 Comput. Methods Appl. Mech. Eng. 322, 208-237 (2017). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 322, 208--237 (2017; Zbl 1439.74428) Full Text: DOI
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method. (English) Zbl 1423.74806 Comput. Methods Appl. Mech. Eng. 297, 258-291 (2015). MSC: 74Q20 74S05 65N30 65N35 PDFBibTeX XMLCite \textit{J. Vondřejc} et al., Comput. Methods Appl. Mech. Eng. 297, 258--291 (2015; Zbl 1423.74806) Full Text: DOI arXiv
Sánchez, P. J.; Blanco, P. J.; Huespe, A. E.; Feijóo, R. A. Failure-oriented multi-scale variational formulation: micro-structures with nucleation and evolution of softening bands. (English) Zbl 1286.74009 Comput. Methods Appl. Mech. Eng. 257, 221-247 (2013). MSC: 74A45 74M25 74N15 74Q20 PDFBibTeX XMLCite \textit{P. J. Sánchez} et al., Comput. Methods Appl. Mech. Eng. 257, 221--247 (2013; Zbl 1286.74009) Full Text: DOI
Abdulle, Assyr; Bai, Yun Adaptive reduced basis finite element heterogeneous multiscale method. (English) Zbl 1286.74088 Comput. Methods Appl. Mech. Eng. 257, 203-220 (2013). MSC: 74Q20 74S05 65N30 35B27 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{Y. Bai}, Comput. Methods Appl. Mech. Eng. 257, 203--220 (2013; Zbl 1286.74088) Full Text: DOI Link
Lipperman, Fabian; Fuchs, Moshe B.; Ryvkin, Michael Stress localization and strength optimization of frame material with periodic microstructure. (English) Zbl 1194.74252 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 4016-4026 (2008). MSC: 74P10 74Q20 PDFBibTeX XMLCite \textit{F. Lipperman} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 4016--4026 (2008; Zbl 1194.74252) Full Text: DOI
Hollister, Scott J.; Lin, Cheng Yu Computational design of tissue engineering scaffolds. (English) Zbl 1125.74031 Comput. Methods Appl. Mech. Eng. 196, No. 31-32, 2991-2998 (2007). MSC: 74L15 74Q20 74P15 92C10 PDFBibTeX XMLCite \textit{S. J. Hollister} and \textit{C. Y. Lin}, Comput. Methods Appl. Mech. Eng. 196, No. 31--32, 2991--2998 (2007; Zbl 1125.74031) Full Text: DOI
Ichikawa, Y.; Kawamura, K.; Uesugi, K.; Seo, Yong-Seok; Fujii, N. Micro- and macrobehavior of granitic rock: Observations and viscoelastic homogenization analysis. (English) Zbl 0986.74513 Comput. Methods Appl. Mech. Eng. 191, No. 1-2, 47-72 (2001). MSC: 74L10 74Q20 74-05 PDFBibTeX XMLCite \textit{Y. Ichikawa} et al., Comput. Methods Appl. Mech. Eng. 191, No. 1--2, 47--72 (2001; Zbl 0986.74513) Full Text: DOI
Vemaganti, Kumar S.; Oden, J. Tinsley Estimation of local model error and goal-oriented adaptive modeling of heterogeneous materials. II: A computational environment for adaptive modeling of heterogeneous elastic solids. (English) Zbl 1030.74051 Comput. Methods Appl. Mech. Eng. 190, No. 46-47, 6089-6124 (2001). MSC: 74S05 74Q15 74Q20 74E30 74E05 PDFBibTeX XMLCite \textit{K. S. Vemaganti} and \textit{J. T. Oden}, Comput. Methods Appl. Mech. Eng. 190, No. 46--47, 6089--6124 (2001; Zbl 1030.74051) Full Text: DOI
Ostoja-Starzewski, M.; Wang, X. Stochastic finite elements as a bridge between random material microstructure and global response. (English) Zbl 0957.74055 Comput. Methods Appl. Mech. Eng. 168, No. 1-4, 35-49 (1999). MSC: 74S05 74E05 74E35 74E30 74Q20 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski} and \textit{X. Wang}, Comput. Methods Appl. Mech. Eng. 168, No. 1--4, 35--49 (1999; Zbl 0957.74055) Full Text: DOI