Hartmann, Stefan; Dileep, Pranav Kumar; Grafenhorst, Matthias A time-adaptive FE\(^2\)-approach within the method of vertical lines. (English) Zbl 07783937 Comput. Math. Appl. 151, 222-243 (2023). MSC: 74S05 74Q05 74E30 74S20 74Q15 PDFBibTeX XMLCite \textit{S. Hartmann} et al., Comput. Math. Appl. 151, 222--243 (2023; Zbl 07783937) Full Text: DOI
Aldakheel, Fadi; Elsayed, Elsayed S.; Zohdi, Tarek I.; Wriggers, Peter Efficient multiscale modeling of heterogeneous materials using deep neural networks. (English) Zbl 1522.74109 Comput. Mech. 72, No. 1, 155-171 (2023). MSC: 74S99 74E05 74Q15 68T05 68T07 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Mech. 72, No. 1, 155--171 (2023; Zbl 1522.74109) Full Text: DOI
Kaiser, Tobias; Raasch, Thorsten; Remmers, Joris J. C.; Geers, Marc G. D. A wavelet-enhanced adaptive hierarchical FFT-based approach for the efficient solution of microscale boundary value problems. (English) Zbl 07682846 Comput. Methods Appl. Mech. Eng. 409, Article ID 115959, 36 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{T. Kaiser} et al., Comput. Methods Appl. Mech. Eng. 409, Article ID 115959, 36 p. (2023; Zbl 07682846) Full Text: DOI
Kaiser, Tobias; Dehm, Gerhard; Kirchlechner, Christoph; Menzel, Andreas; Bishara, Hanna Probing porosity in metals by electrical conductivity: nanoscale experiments and multiscale simulations. (English) Zbl 1520.74022 Eur. J. Mech., A, Solids 97, Article ID 104777, 9 p. (2023). MSC: 74F10 74Q15 74S05 74F15 74-05 PDFBibTeX XMLCite \textit{T. Kaiser} et al., Eur. J. Mech., A, Solids 97, Article ID 104777, 9 p. (2023; Zbl 1520.74022) Full Text: DOI
Kaiser, Tobias; Remmers, Joris J. C.; Geers, Marc G. D. An adaptive wavelet-based collocation method for solving multiscale problems in continuum mechanics. (English) Zbl 1509.74056 Comput. Mech. 70, No. 6, 1335-1357 (2022). MSC: 74S99 74E05 74Q99 74M25 65T60 PDFBibTeX XMLCite \textit{T. Kaiser} et al., Comput. Mech. 70, No. 6, 1335--1357 (2022; Zbl 1509.74056) Full Text: DOI
Ekre, Fredrik; Jänicke, Ralf; Larsson, Fredrik; Runesson, Kenneth Efficient two-scale modeling of porous media using numerical model reduction with fully computable error bounds. (English) Zbl 1512.74023 Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 121-129 (2022). MSC: 74F10 74S99 PDFBibTeX XMLCite \textit{F. Ekre} et al., in: Current trends and open problems in computational mechanics. Cham: Springer. 121--129 (2022; Zbl 1512.74023) Full Text: DOI
Fleischhauer, Robert; Kaliske, Michael Multi-physical modeling and numerical simulation of the thermo-hygro-mechanical treatment of wood. (English) Zbl 1503.74108 Comput. Mech. 70, No. 5, 945-963 (2022). MSC: 74S05 74E30 74C15 74Q15 74-10 PDFBibTeX XMLCite \textit{R. Fleischhauer} and \textit{M. Kaliske}, Comput. Mech. 70, No. 5, 945--963 (2022; Zbl 1503.74108) Full Text: DOI
Nemov, A. S.; Borovkov, A. I.; Schrefler, B. A. Multiscale thermoelastic modelling of composite strands using the “fundamental solutions” method. (English) Zbl 1497.74010 Comput. Mech. 70, No. 3, 661-678 (2022). MSC: 74F05 74E30 74Q05 82D55 PDFBibTeX XMLCite \textit{A. S. Nemov} et al., Comput. Mech. 70, No. 3, 661--678 (2022; Zbl 1497.74010) Full Text: DOI
Xiang, Qian; Yang, Hang; Elkhodary, K. I.; Qiu, Hai; Tang, Shan; Guo, Xu A multiscale, data-driven approach to identifying thermo-mechanically coupled laws – bottom-up with artificial neural networks. (English) Zbl 1493.74119 Comput. Mech. 70, No. 1, 163-179 (2022). MSC: 74S99 74S05 74F05 74B20 92B20 PDFBibTeX XMLCite \textit{Q. Xiang} et al., Comput. Mech. 70, No. 1, 163--179 (2022; Zbl 1493.74119) Full Text: DOI
Saeedmonir, Saeed; Khoei, Amir R. Multiscale modeling of coupled thermo-hydro-mechanical analysis of heterogeneous porous media. (English) Zbl 1507.76204 Comput. Methods Appl. Mech. Eng. 391, Article ID 114518, 34 p. (2022). MSC: 76S05 74Q05 PDFBibTeX XMLCite \textit{S. Saeedmonir} and \textit{A. R. Khoei}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114518, 34 p. (2022; Zbl 1507.76204) Full Text: DOI
Bacigalupo, Andrea; De Bellis, Maria Laura; Zavarise, Giorgio Asymptotic homogenization approach for anisotropic micropolar modeling of periodic Cauchy materials. (English) Zbl 1507.74352 Comput. Methods Appl. Mech. Eng. 388, Article ID 114201, 31 p. (2022). MSC: 74Q05 74A35 PDFBibTeX XMLCite \textit{A. Bacigalupo} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114201, 31 p. (2022; Zbl 1507.74352) Full Text: DOI
Yang, Zhiqiang; Sun, Yi; Cui, Junzhi; Ma, Qiang A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations. (English) Zbl 07508497 J. Comput. Phys. 425, Article ID 109900, 25 p. (2021). MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Comput. Phys. 425, Article ID 109900, 25 p. (2021; Zbl 07508497) Full Text: DOI
Kaiser, T.; Menzel, A. A finite deformation electro-mechanically coupled computational multiscale formulation for electrical conductors. (English) Zbl 1486.74045 Acta Mech. 232, No. 10, 3939-3956 (2021). MSC: 74F15 74Q15 74B20 PDFBibTeX XMLCite \textit{T. Kaiser} and \textit{A. Menzel}, Acta Mech. 232, No. 10, 3939--3956 (2021; Zbl 1486.74045) Full Text: DOI
Waseem, A.; Heuzé, T.; Stainier, L.; Geers, M. G. D.; Kouznetsova, V. G. Two-scale analysis of transient diffusion problems through a homogenized enriched continuum. (English) Zbl 1486.74116 Eur. J. Mech., A, Solids 87, Article ID 104212, 12 p. (2021). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q15 74S05 PDFBibTeX XMLCite \textit{A. Waseem} et al., Eur. J. Mech., A, Solids 87, Article ID 104212, 12 p. (2021; Zbl 1486.74116) Full Text: DOI
Khoei, A. R.; Saeedmonir, S. Computational homogenization of fully coupled multiphase flow in deformable porous media. (English) Zbl 1506.76169 Comput. Methods Appl. Mech. Eng. 376, Article ID 113660, 36 p. (2021). MSC: 76S05 74F10 76Txx PDFBibTeX XMLCite \textit{A. R. Khoei} and \textit{S. Saeedmonir}, Comput. Methods Appl. Mech. Eng. 376, Article ID 113660, 36 p. (2021; Zbl 1506.76169) Full Text: DOI
Waseem, A.; Heuzé, T.; Stainier, L.; Geers, M. G. D.; Kouznetsova, V. G. Model reduction in computational homogenization for transient heat conduction. (English) Zbl 1491.80005 Comput. Mech. 65, No. 1, 249-266 (2020); correction ibid. 68, No. 1, 231 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 80M40 80A19 74A15 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{A. Waseem} et al., Comput. Mech. 65, No. 1, 249--266 (2020; Zbl 1491.80005) Full Text: DOI
Fischer, Andreas; Eidel, Bernhard Error analysis for quadtree-type mesh coarsening algorithms adapted to pixelized heterogeneous microstructures. (English) Zbl 1464.74173 Comput. Mech. 65, No. 6, 1467-1491 (2020). MSC: 74S05 74Q05 74E05 PDFBibTeX XMLCite \textit{A. Fischer} and \textit{B. Eidel}, Comput. Mech. 65, No. 6, 1467--1491 (2020; Zbl 1464.74173) Full Text: DOI arXiv
Yang, Zhiqiang; Sun, Yi; Guan, Tianyu; Dong, Hao A high-order three-scale approach for predicting thermo-mechanical properties of porous materials with interior surface radiation. (English) Zbl 1433.74042 Comput. Math. Appl. 79, No. 9, 2742-2770 (2020). MSC: 74F05 74S22 74M25 PDFBibTeX XMLCite \textit{Z. Yang} et al., Comput. Math. Appl. 79, No. 9, 2742--2770 (2020; Zbl 1433.74042) Full Text: DOI
Yang, Zhiqiang; Long, Chuanzhou; Sun, Yi A high-order three-scale reduced asymptotic approach for thermo-mechanical problems of nonlinear heterogeneous materials with multiple spatial scales. (English) Zbl 1472.74183 Eur. J. Mech., A, Solids 80, Article ID 103905, 22 p. (2020). MSC: 74Q05 74E05 74F05 74G10 PDFBibTeX XMLCite \textit{Z. Yang} et al., Eur. J. Mech., A, Solids 80, Article ID 103905, 22 p. (2020; Zbl 1472.74183) Full Text: DOI
Yang, Zhiqiang; Sun, Yi; Cui, Junzhi; Guan, Tianyu; Yuan, Zifeng A second-order two-scale algorithm for thermo-mechanical coupling problems in quasi-periodic porous materials. (English) Zbl 1518.65114 Commun. Comput. Phys. 25, No. 4, 1144-1176 (2019). MSC: 65M60 65M06 65N30 34E13 35B27 74Q05 74F05 80A21 83C30 74S05 74S20 PDFBibTeX XMLCite \textit{Z. Yang} et al., Commun. Comput. Phys. 25, No. 4, 1144--1176 (2019; Zbl 1518.65114) Full Text: DOI
Berthelsen, Rolf; Menzel, Andreas Computational homogenisation of thermo-viscoplastic composites: large strain formulation and weak micro-periodicity. (English) Zbl 1433.74092 Comput. Methods Appl. Mech. Eng. 348, 575-603 (2019). MSC: 74Q15 74S05 65M60 74C10 74F05 PDFBibTeX XMLCite \textit{R. Berthelsen} and \textit{A. Menzel}, Comput. Methods Appl. Mech. Eng. 348, 575--603 (2019; Zbl 1433.74092) Full Text: DOI
Yang, Zhiqiang; Sun, Yi; Liu, Yizhi; Guan, Tianyu; Dong, Hao A three-scale asymptotic analysis for ageing linear viscoelastic problems of composites with multiple configurations. (English) Zbl 1481.74638 Appl. Math. Modelling 71, 223-242 (2019). MSC: 74Q05 74D05 74E30 35B27 35Q74 65M60 PDFBibTeX XMLCite \textit{Z. Yang} et al., Appl. Math. Modelling 71, 223--242 (2019; Zbl 1481.74638) Full Text: DOI
Yang, Zhiqiang; Sun, Yi; Cui, Junzhi; Ge, Jingran A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration. (English) Zbl 1470.74020 Eur. J. Mech., A, Solids 76, 235-246 (2019). MSC: 74E30 74D05 PDFBibTeX XMLCite \textit{Z. Yang} et al., Eur. J. Mech., A, Solids 76, 235--246 (2019; Zbl 1470.74020) Full Text: DOI
Yang, Zhiqiang; Sun, Yi; Cui, Junzhi; Li, Xiao A multiscale algorithm for heat conduction-radiation problems in porous materials with quasi-periodic structures. (English) Zbl 1488.65479 Commun. Comput. Phys. 24, No. 1, 204-233 (2018). MSC: 65M60 35B27 35K20 35K57 45K05 74F10 80A19 PDFBibTeX XMLCite \textit{Z. Yang} et al., Commun. Comput. Phys. 24, No. 1, 204--233 (2018; Zbl 1488.65479) Full Text: DOI
Otero, Fermin; Oller, Sergio; Martinez, Xavier Multiscale computational homogenization: review and proposal of a new enhanced-first-order method. (English) Zbl 1392.74079 Arch. Comput. Methods Eng. 25, No. 2, 479-505 (2018). MSC: 74Q05 PDFBibTeX XMLCite \textit{F. Otero} et al., Arch. Comput. Methods Eng. 25, No. 2, 479--505 (2018; Zbl 1392.74079) Full Text: DOI Link
Javili, Ali; Steinmann, Paul; Mosler, Jörn Micro-to-macro transition accounting for general imperfect interfaces. (English) Zbl 1439.74333 Comput. Methods Appl. Mech. Eng. 317, 274-317 (2017). MSC: 74Q15 74A50 74M25 PDFBibTeX XMLCite \textit{A. Javili} et al., Comput. Methods Appl. Mech. Eng. 317, 274--317 (2017; Zbl 1439.74333) Full Text: DOI Link
Berthelsen, Rolf; Denzer, Ralf; Oppermann, Philip; Menzel, Andreas Computational homogenisation for thermoviscoplasticity: application to thermally sprayed coatings. (English) Zbl 1387.74094 Comput. Mech. 60, No. 5, 739-766 (2017). MSC: 74Q10 74F05 74C10 PDFBibTeX XMLCite \textit{R. Berthelsen} et al., Comput. Mech. 60, No. 5, 739--766 (2017; Zbl 1387.74094) Full Text: DOI
Eden, Michael; Muntean, Adrian Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations. (English) Zbl 1408.74005 Math. Methods Appl. Sci. 40, No. 11, 3955-3972 (2017). MSC: 74A15 35B27 35Q74 74Q05 74F05 74Q15 PDFBibTeX XMLCite \textit{M. Eden} and \textit{A. Muntean}, Math. Methods Appl. Sci. 40, No. 11, 3955--3972 (2017; Zbl 1408.74005) Full Text: DOI arXiv
Nguyen, Van-Dung; Wu, Ling; Noels, Ludovic Unified treatment of microscopic boundary conditions and efficient algorithms for estimating tangent operators of the homogenized behavior in the computational homogenization method. (English) Zbl 1398.74378 Comput. Mech. 59, No. 3, 483-505 (2017). MSC: 74S05 74Q05 74Q15 74E05 74E30 PDFBibTeX XMLCite \textit{V.-D. Nguyen} et al., Comput. Mech. 59, No. 3, 483--505 (2017; Zbl 1398.74378) Full Text: DOI Link
Schindler, Stefan; Mergheim, Julia; Zimmermann, Marco; Aurich, Jan C.; Steinmann, Paul Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC). (English) Zbl 1365.74147 Contin. Mech. Thermodyn. 29, No. 1, 51-75 (2017). MSC: 74Q15 74B10 74E30 PDFBibTeX XMLCite \textit{S. Schindler} et al., Contin. Mech. Thermodyn. 29, No. 1, 51--75 (2017; Zbl 1365.74147) Full Text: DOI
Wu, L.; Lucas, V.; Nguyen, V.-D.; Golinval, J.-C.; Paquay, S.; Noels, L. A stochastic multi-scale approach for the modeling of thermo-elastic damping in micro-resonators. (English) Zbl 1439.74477 Comput. Methods Appl. Mech. Eng. 310, 802-839 (2016). MSC: 74S05 65M60 65M75 74F05 PDFBibTeX XMLCite \textit{L. Wu} et al., Comput. Methods Appl. Mech. Eng. 310, 802--839 (2016; Zbl 1439.74477) Full Text: DOI Link
Fleischhauer, Robert; Božić, Marko; Kaliske, Michael A novel approach to computational homogenization and its application to fully coupled two-scale thermomechanics. (English) Zbl 1398.74260 Comput. Mech. 58, No. 5, 769-796 (2016). MSC: 74Q05 74S05 74E05 74Q15 74E30 PDFBibTeX XMLCite \textit{R. Fleischhauer} et al., Comput. Mech. 58, No. 5, 769--796 (2016; Zbl 1398.74260) Full Text: DOI
Blanco, Pablo J.; Sánchez, Pablo J.; de Souza Neto, Eduardo A.; Feijóo, Raúl A. Variational foundations and generalized unified theory of RVE-based multiscale models. (English) Zbl 1348.74003 Arch. Comput. Methods Eng. 23, No. 2, 191-253 (2016). MSC: 74-02 74A05 74P15 PDFBibTeX XMLCite \textit{P. J. Blanco} et al., Arch. Comput. Methods Eng. 23, No. 2, 191--253 (2016; Zbl 1348.74003) Full Text: DOI Link
Sridhar, A.; Keip, M.-A.; Miehe, C. Homogenization in micro-magneto-mechanics. (English) Zbl 1398.74108 Comput. Mech. 58, No. 1, 151-169 (2016). MSC: 74F15 74Q05 74Q15 74M25 74S05 PDFBibTeX XMLCite \textit{A. Sridhar} et al., Comput. Mech. 58, No. 1, 151--169 (2016; Zbl 1398.74108) Full Text: DOI
Wang, Xin; Cao, Liqun; Wong, Yaushu Multiscale computation and convergence for coupled thermoelastic system in composite materials. (English) Zbl 1317.65094 Multiscale Model. Simul. 13, No. 2, 661-690 (2015). MSC: 65F10 35P15 PDFBibTeX XMLCite \textit{X. Wang} et al., Multiscale Model. Simul. 13, No. 2, 661--690 (2015; Zbl 1317.65094) Full Text: DOI
Thamburaja, P.; Jamshidian, M. A multiscale Taylor model-based constitutive theory describing grain growth in polycrystalline cubic metals. (English) Zbl 1303.74012 J. Mech. Phys. Solids 63, 1-28 (2014). MSC: 74E15 74A60 74S05 74F05 PDFBibTeX XMLCite \textit{P. Thamburaja} and \textit{M. Jamshidian}, J. Mech. Phys. Solids 63, 1--28 (2014; Zbl 1303.74012) Full Text: DOI
Blanco, Pablo J.; Giusti, Sebastián M. Thermomechanical multiscale constitutive modeling: accounting for microstructural thermal effects. (English) Zbl 1357.74005 J. Elasticity 115, No. 1, 27-46 (2014). MSC: 74A20 49J45 74A60 74Q15 49S05 74F05 PDFBibTeX XMLCite \textit{P. J. Blanco} and \textit{S. M. Giusti}, J. Elasticity 115, No. 1, 27--46 (2014; Zbl 1357.74005) Full Text: DOI
Zhang, Hong-Wu; Liu, Yin; Zhang, S.; Tao, J.; Wu, Jing-Kai; Chen, B. S. Extended multiscale finite element method: its basis and applications for mechanical analysis of heterogeneous materials. (English) Zbl 1316.74065 Comput. Mech. 53, No. 4, 659-685 (2014). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{H.-W. Zhang} et al., Comput. Mech. 53, No. 4, 659--685 (2014; Zbl 1316.74065) Full Text: DOI
Temizer, İ. On the asymptotic expansion treatment of two-scale finite thermoelasticity. (English) Zbl 1423.74248 Int. J. Eng. Sci. 53, 74-84 (2012). MSC: 74F05 74G10 74Q05 PDFBibTeX XMLCite \textit{İ. Temizer}, Int. J. Eng. Sci. 53, 74--84 (2012; Zbl 1423.74248) Full Text: DOI Link
Budt, M.; Temizer, İ.; Wriggers, P. A computational homogenization framework for soft elastohydrodynamic lubrication. (English) Zbl 1312.76006 Comput. Mech. 49, No. 6, 749-767 (2012). MSC: 76A20 76M10 PDFBibTeX XMLCite \textit{M. Budt} et al., Comput. Mech. 49, No. 6, 749--767 (2012; Zbl 1312.76006) Full Text: DOI Link