Cruzado, A.; Nelms, M.; Benzerga, A. A. Effect of non-uniform void distributions on the yielding of metals. (English) Zbl 07824897 Comput. Methods Appl. Mech. Eng. 421, Article ID 116810, 24 p. (2024). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{A. Cruzado} et al., Comput. Methods Appl. Mech. Eng. 421, Article ID 116810, 24 p. (2024; Zbl 07824897) Full Text: DOI
Morin, Léo; Paux, Joseph A fast numerical method for the conductivity of heterogeneous media with Dirichlet boundary conditions based on discrete sine-cosine transforms. (English) Zbl 07824870 Comput. Methods Appl. Mech. Eng. 421, Article ID 116772, 18 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{L. Morin} and \textit{J. Paux}, Comput. Methods Appl. Mech. Eng. 421, Article ID 116772, 18 p. (2024; Zbl 07824870) Full Text: DOI
Ruan, Hongshi; Ju, Xiaozhe; Chen, Junjun; Liang, Lihua; Xu, Yangjian A clustering-enhanced potential-based reduced order homogenization framework for nonlinear heterogeneous materials. (English) Zbl 07782765 Eur. J. Mech., A, Solids 103, Article ID 105190, 12 p. (2024). MSC: 74Q05 74E05 74B20 74S99 PDFBibTeX XMLCite \textit{H. Ruan} et al., Eur. J. Mech., A, Solids 103, Article ID 105190, 12 p. (2024; Zbl 07782765) Full Text: DOI
Schneider, Matti A review of nonlinear FFT-based computational homogenization methods. (English) Zbl 1491.74099 Acta Mech. 232, No. 6, 2051-2100 (2021). MSC: 74S25 74Q05 74Q10 74-02 PDFBibTeX XMLCite \textit{M. Schneider}, Acta Mech. 232, No. 6, 2051--2100 (2021; Zbl 1491.74099) Full Text: DOI
Hure, Jeremy Yield criterion and finite strain behavior of random porous isotropic materials. (English) Zbl 1476.74030 Eur. J. Mech., A, Solids 85, Article ID 104143, 12 p. (2021). MSC: 74F10 74C15 74E35 PDFBibTeX XMLCite \textit{J. Hure}, Eur. J. Mech., A, Solids 85, Article ID 104143, 12 p. (2021; Zbl 1476.74030) Full Text: DOI arXiv
Cao, Y. J.; Shen, Wan Qing; Shao, Jian Fu; Wang, W. Numerical homogenization of elastic properties and plastic yield stress of rock-like materials with voids and inclusions at same scale. (English) Zbl 1475.74096 Eur. J. Mech., A, Solids 81, Article ID 103958, 15 p. (2020). MSC: 74L10 74Q15 74E05 PDFBibTeX XMLCite \textit{Y. J. Cao} et al., Eur. J. Mech., A, Solids 81, Article ID 103958, 15 p. (2020; Zbl 1475.74096) Full Text: DOI
Fritzen, Felix; Kunc, Oliver Two-stage data-driven homogenization for nonlinear solids using a reduced order model. (English) Zbl 1406.74560 Eur. J. Mech., A, Solids 69, 201-220 (2018). MSC: 74Q05 74Q15 PDFBibTeX XMLCite \textit{F. Fritzen} and \textit{O. Kunc}, Eur. J. Mech., A, Solids 69, 201--220 (2018; Zbl 1406.74560) Full Text: DOI
Boittin, Guylaine; Vincent, Pierre-Guy; Moulinec, Hervé; Gărăjeu, Mihai Numerical simulations and modeling of the effective plastic flow surface of a biporous material with pressurized intergranular voids. (English) Zbl 1439.74058 Comput. Methods Appl. Mech. Eng. 323, 174-201 (2017). MSC: 74C05 74F10 PDFBibTeX XMLCite \textit{G. Boittin} et al., Comput. Methods Appl. Mech. Eng. 323, 174--201 (2017; Zbl 1439.74058) Full Text: DOI
Bignonnet, François; Hassen, Ghazi; Dormieux, Luc Fourier-based strength homogenization of porous media. (English) Zbl 1398.74081 Comput. Mech. 58, No. 5, 833-859 (2016). MSC: 74F10 74E30 74M25 74S30 74S05 PDFBibTeX XMLCite \textit{F. Bignonnet} et al., Comput. Mech. 58, No. 5, 833--859 (2016; Zbl 1398.74081) Full Text: DOI HAL
Monchiet, Vincent Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites. (English) Zbl 1423.74218 Comput. Methods Appl. Mech. Eng. 283, 454-473 (2015). MSC: 74E30 74S30 65N35 65T50 74Q05 PDFBibTeX XMLCite \textit{V. Monchiet}, Comput. Methods Appl. Mech. Eng. 283, 454--473 (2015; Zbl 1423.74218) Full Text: DOI HAL
Moulinec, H.; Silva, F. Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials. (English) Zbl 1352.74223 Int. J. Numer. Methods Eng. 97, No. 13, 960-985 (2014). MSC: 74M25 65T50 PDFBibTeX XMLCite \textit{H. Moulinec} and \textit{F. Silva}, Int. J. Numer. Methods Eng. 97, No. 13, 960--985 (2014; Zbl 1352.74223) Full Text: DOI HAL
Monchiet, V.; Bonnet, G. A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast. (English) Zbl 1242.74197 Int. J. Numer. Methods Eng. 89, No. 11, 1419-1436 (2012). MSC: 74S25 74Q15 PDFBibTeX XMLCite \textit{V. Monchiet} and \textit{G. Bonnet}, Int. J. Numer. Methods Eng. 89, No. 11, 1419--1436 (2012; Zbl 1242.74197) Full Text: DOI Link
Griffin, Joel; Butcher, Cliff; Chen, Zengtao On using a dual bound approach to characterize the yield behaviour of porous ductile materials containing void clusters. (English) Zbl 1283.74084 Int. J. Fract. 169, No. 1, 97-104 (2011). MSC: 74R20 74F10 PDFBibTeX XMLCite \textit{J. Griffin} et al., Int. J. Fract. 169, No. 1, 97--104 (2011; Zbl 1283.74084) 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
Sevostianov, Igor; Kushch, Volodymyr Effect of pore distribution on the statistics of peak stress and overall properties of porous material. (English) Zbl 1176.74151 Int. J. Solids Struct. 46, No. 25-26, 4419-4429 (2009). MSC: 74Q15 74F10 74S60 PDFBibTeX XMLCite \textit{I. Sevostianov} and \textit{V. Kushch}, Int. J. Solids Struct. 46, No. 25--26, 4419--4429 (2009; Zbl 1176.74151) Full Text: DOI
Idiart, M. I.; Willot, F.; Pellegrini, Y.-P.; Ponte Castañeda, P. Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations. (English) Zbl 1167.74535 Int. J. Solids Struct. 46, No. 18-19, 3365-3382 (2009). MSC: 74Q15 74E30 74F10 PDFBibTeX XMLCite \textit{M. I. Idiart} et al., Int. J. Solids Struct. 46, No. 18--19, 3365--3382 (2009; Zbl 1167.74535) Full Text: DOI arXiv
Idiart, Martín I. The macroscopic behavior of power-law and ideally plastic materials with elliptical distribution of porosity. (English) Zbl 1258.74179 Mech. Res. Commun. 35, No. 8, 583-588 (2008). MSC: 74Q15 74F10 74Q05 74C05 PDFBibTeX XMLCite \textit{M. I. Idiart}, Mech. Res. Commun. 35, No. 8, 583--588 (2008; Zbl 1258.74179) Full Text: DOI
Danas, K.; Idiart, M. I.; Ponte Castañeda, P. A homogenization-based constitutive model for isotropic viscoplastic porous media. (English) Zbl 1169.74384 Int. J. Solids Struct. 45, No. 11-12, 3392-3409 (2008). MSC: 74F10 74Q15 74C10 PDFBibTeX XMLCite \textit{K. Danas} et al., Int. J. Solids Struct. 45, No. 11--12, 3392--3409 (2008; Zbl 1169.74384) Full Text: DOI
Ni, Yong; Chiang, Martin Y. M. Prediction of elastic properties of heterogeneous materials with complex microstructures. (English) Zbl 1170.74046 J. Mech. Phys. Solids 55, No. 3, 517-532 (2007). MSC: 74Q15 74Q05 74M25 74E05 PDFBibTeX XMLCite \textit{Y. Ni} and \textit{M. Y. M. Chiang}, J. Mech. Phys. Solids 55, No. 3, 517--532 (2007; Zbl 1170.74046) Full Text: DOI
Gărăjeu, M.; Suquet, P. On the influence of local fluctuations in volume fraction of constituents on the effective properties of nonlinear composites. Application to porous materials. (English) Zbl 1176.74149 J. Mech. Phys. Solids 55, No. 4, 842-878 (2007). MSC: 74Q15 74E30 74F10 PDFBibTeX XMLCite \textit{M. Gărăjeu} and \textit{P. Suquet}, J. Mech. Phys. Solids 55, No. 4, 842--878 (2007; Zbl 1176.74149) Full Text: DOI HAL
Bilger, Nicolas; Auslender, François; Bornert, Michel; Moulinec, Hervé; Zaoui, André Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids. (English) Zbl 1119.74039 Eur. J. Mech., A, Solids 26, No. 5, 810-836 (2007). MSC: 74Q20 74F10 PDFBibTeX XMLCite \textit{N. Bilger} et al., Eur. J. Mech., A, Solids 26, No. 5, 810--836 (2007; Zbl 1119.74039) Full Text: DOI