Wei, Guangkai; Chen, Yuan; Li, Qing; Fu, Kunkun Multiscale topology optimisation for porous composite structures with stress-constraint and clustered microstructures. (English) Zbl 07761313 Comput. Methods Appl. Mech. Eng. 416, Article ID 116329, 30 p. (2023). MSC: 74P15 74A40 PDFBibTeX XMLCite \textit{G. Wei} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116329, 30 p. (2023; Zbl 07761313) Full Text: DOI
Torquato, Salvatore; Jiao, Yang Exclusion volumes of convex bodies in high space dimensions: applications to virial coefficients and continuum percolation. (English) Zbl 07604535 J. Stat. Mech. Theory Exp. 2022, No. 9, Article ID 093404, 38 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{S. Torquato} and \textit{Y. Jiao}, J. Stat. Mech. Theory Exp. 2022, No. 9, Article ID 093404, 38 p. (2022; Zbl 07604535) Full Text: DOI arXiv
Grigoriu, M. Finite dimensional models for random microstructures. (English) Zbl 1495.60061 Theory Probab. Math. Stat. 106, 121-142 (2022). MSC: 60H30 60G60 PDFBibTeX XMLCite \textit{M. Grigoriu}, Theory Probab. Math. Stat. 106, 121--142 (2022; Zbl 1495.60061) Full Text: DOI
Klatt, Michael Andreas; Hörmann, Max; Mecke, Klaus Characterization of anisotropic Gaussian random fields by Minkowski tensors. (English) Zbl 07531148 J. Stat. Mech. Theory Exp. 2022, No. 4, Article ID 043301, 25 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{M. A. Klatt} et al., J. Stat. Mech. Theory Exp. 2022, No. 4, Article ID 043301, 25 p. (2022; Zbl 07531148) Full Text: DOI arXiv
Yin, Shizhen; Pindera, Marek-Jerzy Homogenized moduli and local stress fields of random fiber composites under homogeneous and periodic boundary conditions. (English) Zbl 07477405 Eur. J. Mech., A, Solids 93, Article ID 104504, 18 p. (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Yin} and \textit{M.-J. Pindera}, Eur. J. Mech., A, Solids 93, Article ID 104504, 18 p. (2022; Zbl 07477405) Full Text: DOI
Ma, Zheng; Xuan, Junyu; Wang, Yu Guang; Li, Ming; Liò, Pietro Path integral based convolution and pooling for graph neural networks. (English) Zbl 07451721 J. Stat. Mech. Theory Exp. 2021, No. 12, Article ID 124011, 16 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{Z. Ma} et al., J. Stat. Mech. Theory Exp. 2021, No. 12, Article ID 124011, 16 p. (2021; Zbl 07451721) Full Text: DOI arXiv
Middlemas, Timothy M.; Torquato, Salvatore Nearest-neighbor functions for disordered stealthy hyperuniform many-particle systems. (English) Zbl 1459.82278 J. Stat. Mech. Theory Exp. 2020, No. 10, Article ID 103302, 39 p. (2020). MSC: 82C44 82C70 60G55 PDFBibTeX XMLCite \textit{T. M. Middlemas} and \textit{S. Torquato}, J. Stat. Mech. Theory Exp. 2020, No. 10, Article ID 103302, 39 p. (2020; Zbl 1459.82278) Full Text: DOI arXiv
Buryachenko, Valeriy A. Variational principles and generalized Hill’s bounds in micromechanics of linear peridynamic random structure composites. (English) Zbl 1446.74079 Math. Mech. Solids 25, No. 3, 682-704 (2020). MSC: 74A40 74A70 74A60 74G65 PDFBibTeX XMLCite \textit{V. A. Buryachenko}, Math. Mech. Solids 25, No. 3, 682--704 (2020; Zbl 1446.74079) Full Text: DOI
Buryachenko, Valeriy A. Effective properties of thermoperistatic random structure composites: some background principles. (English) Zbl 1375.74078 Math. Mech. Solids 22, No. 6, 1366-1386 (2017). MSC: 74Q15 74E30 74E35 74F05 PDFBibTeX XMLCite \textit{V. A. Buryachenko}, Math. Mech. Solids 22, No. 6, 1366--1386 (2017; Zbl 1375.74078) Full Text: DOI
Lim, Jae Hyuk; Henry, Milan; Hwang, Do-Soon; Sohn, Dongwoo Numerical prediction of fiber mechanical properties considering random microstructures using inverse analysis with quasi-analytical gradients. (English) Zbl 1410.74090 Appl. Math. Comput. 273, 201-216 (2016). MSC: 74S30 65K10 74M25 82D80 PDFBibTeX XMLCite \textit{J. H. Lim} et al., Appl. Math. Comput. 273, 201--216 (2016; Zbl 1410.74090) Full Text: DOI
Grigoriu, M. Microstructure models and material response by extreme value theory. (English) Zbl 1347.60060 SIAM/ASA J. Uncertain. Quantif. 4, 190-217 (2016). MSC: 60G70 60H15 60H30 60G15 60G60 62M15 62M40 65C20 74Q99 PDFBibTeX XMLCite \textit{M. Grigoriu}, SIAM/ASA J. Uncertain. Quantif. 4, 190--217 (2016; Zbl 1347.60060) Full Text: DOI
Sabelfeld, Karl K. Splitting and survival probabilities in stochastic random walk methods and applications. (English) Zbl 1334.65009 Monte Carlo Methods Appl. 22, No. 1, 55-72 (2016). MSC: 65C05 65C30 60H15 82C80 PDFBibTeX XMLCite \textit{K. K. Sabelfeld}, Monte Carlo Methods Appl. 22, No. 1, 55--72 (2016; Zbl 1334.65009) Full Text: DOI
Grigoriu, M. Response statistics for random heterogeneous microstructures. (English) Zbl 1348.60099 SIAM/ASA J. Uncertain. Quantif. 2, 252-275 (2014). MSC: 60H30 60H15 60G60 62M15 62M40 65C05 74Q99 PDFBibTeX XMLCite \textit{M. Grigoriu}, SIAM/ASA J. Uncertain. Quantif. 2, 252--275 (2014; Zbl 1348.60099) Full Text: DOI
Serrano, Hélia A variational approach to the homogenization of laminate metamaterials. (English) Zbl 1298.78021 Nonlinear Anal., Real World Appl. 18, 75-85 (2014). Reviewer: Vladimir Čadež (Beograd) MSC: 78A48 35A15 78M30 35Q60 PDFBibTeX XMLCite \textit{H. Serrano}, Nonlinear Anal., Real World Appl. 18, 75--85 (2014; Zbl 1298.78021) Full Text: DOI
Silberstein, Meredith N.; Pai, Chia-Ling; Rutledge, Gregory C.; Boyce, Mary C. Elastic-plastic behavior of non-woven fibrous mats. (English) Zbl 1244.74013 J. Mech. Phys. Solids 60, No. 2, 295-318 (2012). MSC: 74A40 74E30 74M25 PDFBibTeX XMLCite \textit{M. N. Silberstein} et al., J. Mech. Phys. Solids 60, No. 2, 295--318 (2012; Zbl 1244.74013) Full Text: DOI
Buryachenko, V. A. Inhomogeneity of the first and second statistical moments of stresses inside the heterogeneities of random structure matrix composites. (English) Zbl 1236.74062 Int. J. Solids Struct. 48, No. 11-12, 1665-1687 (2011). MSC: 74E35 74E30 74E05 PDFBibTeX XMLCite \textit{V. A. Buryachenko}, Int. J. Solids Struct. 48, No. 11--12, 1665--1687 (2011; Zbl 1236.74062) Full Text: DOI
Liu, L. P. Hashin-Shtrikman bounds and their attainability for multi-phase composites. (English) Zbl 1211.74178 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2124, 3693-3713 (2010). MSC: 74Q05 74E30 74A40 74N15 PDFBibTeX XMLCite \textit{L. P. Liu}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2124, 3693--3713 (2010; Zbl 1211.74178) Full Text: DOI
Lopez-Pamies, Oscar; Idiart, Martín I. An exact result for the macroscopic response of porous neo-Hookean solids. (English) Zbl 1160.74019 J. Elasticity 95, No. 1-2, 99-105 (2009). MSC: 74F10 74B20 74E35 74G05 PDFBibTeX XMLCite \textit{O. Lopez-Pamies} and \textit{M. I. Idiart}, J. Elasticity 95, No. 1--2, 99--105 (2009; Zbl 1160.74019) Full Text: DOI
Pineda, Eloi; Crespo, Daniel Temporal evolution of the domain structure in a Poisson-Voronoi transformation. (English) Zbl 1456.82858 J. Stat. Mech. Theory Exp. 2007, No. 6, Paper No. P06007, 18 p. (2007). MSC: 82C44 60D05 PDFBibTeX XMLCite \textit{E. Pineda} and \textit{D. Crespo}, J. Stat. Mech. Theory Exp. 2007, No. 6, Paper No. P06007, 18 p. (2007; Zbl 1456.82858) Full Text: DOI
Ganapathysubramanian, Baskar; Zabaras, Nicholas Modeling diffusion in random heterogeneous media: data-driven models, stochastic collocation and the variational multiscale method. (English) Zbl 1124.65007 J. Comput. Phys. 226, No. 1, 326-353 (2007). MSC: 65C30 60H15 60H35 35R60 35K15 65M70 PDFBibTeX XMLCite \textit{B. Ganapathysubramanian} and \textit{N. Zabaras}, J. Comput. Phys. 226, No. 1, 326--353 (2007; Zbl 1124.65007) Full Text: DOI
Schraad, M. W.; Harlow, F. H. A stochastic constitutive model for disordered cellular materials: finite-strain uni-axial compression. (English) Zbl 1121.74314 Int. J. Solids Struct. 43, No. 11-12, 3542-3568 (2006). MSC: 74A20 74A40 PDFBibTeX XMLCite \textit{M. W. Schraad} and \textit{F. H. Harlow}, Int. J. Solids Struct. 43, No. 11--12, 3542--3568 (2006; Zbl 1121.74314) Full Text: DOI
DeSimone, Antonio; Dolzmann, Georg Stripe-domains in nematic elastomers: old and new. (English) Zbl 1181.76025 Calderer, Maria-Carme T. (ed.) et al., Modeling of soft matter. Selected papers based on the presentation at the workshop, Minneapolis, MN, USA, September 27–October 1, 2004. New York, NY: Springer (ISBN 0-387-29167-9/hbk). The IMA Volumes in Mathematics and its Applications 141, 189-203 (2005). MSC: 76A15 82D30 82D60 PDFBibTeX XMLCite \textit{A. DeSimone} and \textit{G. Dolzmann}, IMA Vol. Math. Appl. 141, 189--203 (2005; Zbl 1181.76025) Full Text: DOI Link
Luciano, R.; Willis, J. R. FE analysis of stress and strain fields in finite random composite bodies. (English) Zbl 1120.74318 J. Mech. Phys. Solids 53, No. 7, 1505-1522 (2005). MSC: 74A40 74S05 PDFBibTeX XMLCite \textit{R. Luciano} and \textit{J. R. Willis}, J. Mech. Phys. Solids 53, No. 7, 1505--1522 (2005; Zbl 1120.74318) Full Text: DOI
Buryachenko, V. A. Effective elastic moduli of triply periodic particulate matrix composites with imperfect unit cells. (English) Zbl 1119.74530 Int. J. Solids Struct. 42, No. 16-17, 4811-4832 (2005). MSC: 74Q15 74A40 PDFBibTeX XMLCite \textit{V. A. Buryachenko}, Int. J. Solids Struct. 42, No. 16--17, 4811--4832 (2005; Zbl 1119.74530) Full Text: DOI
Song, S.; Placido, F. The influence of phase probability distributions on impedance spectroscopy. (English) Zbl 1073.82525 J. Stat. Mech. Theory Exp. 2004, No. 10, Paper No. P10018, 14 p. (2004). MSC: 82B20 81S30 82D40 PDFBibTeX XMLCite \textit{S. Song} and \textit{F. Placido}, J. Stat. Mech. Theory Exp. 2004, No. 10, Paper No. P10018, 14 p. (2004; Zbl 1073.82525) Full Text: DOI
Buryachenko, V. A.; Pagano, N. J. Non-local models of stress field concentrations and effective thermoelastic properties of random structure composites. (English) Zbl 1098.74521 Math. Mech. Solids 8, No. 4, 403-433 (2003). MSC: 74A40 74Q15 74F05 PDFBibTeX XMLCite \textit{V. A. Buryachenko} and \textit{N. J. Pagano}, Math. Mech. Solids 8, No. 4, 403--433 (2003; Zbl 1098.74521) Full Text: DOI
Benveniste, Y.; Milton, G. W. New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages. (English) Zbl 1077.74591 J. Mech. Phys. Solids 51, No. 10, 1773-1813 (2003). MSC: 74Q15 74F15 74E30 74A40 PDFBibTeX XMLCite \textit{Y. Benveniste} and \textit{G. W. Milton}, J. Mech. Phys. Solids 51, No. 10, 1773--1813 (2003; Zbl 1077.74591) Full Text: DOI
Luciano, R.; Willis, J. R. Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials. (English) Zbl 1145.74329 J. Mech. Phys. Solids 51, No. 6, 1075-1088 (2003). MSC: 74E05 74E35 74Q15 PDFBibTeX XMLCite \textit{R. Luciano} and \textit{J. R. Willis}, J. Mech. Phys. Solids 51, No. 6, 1075--1088 (2003; Zbl 1145.74329) Full Text: DOI
Luciano, R.; Willis, J. R. The influence of boundary conditions on the non-local response of a randomly heterogeneous medium. (English) Zbl 1053.74500 Karihaloo, B. L. (ed.), IUTAM symposium in analytical and computational fracture mechanics of non-homogeneous materials. Proceedings of the IUTAM symposium, Cardiff, UK, June 18–22, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0510-5/hbk). Solid Mech. Appl. 97, 249-260 (2002). MSC: 74A40 74E05 PDFBibTeX XMLCite \textit{R. Luciano} and \textit{J. R. Willis}, Solid Mech. Appl. 97, 249--260 (2002; Zbl 1053.74500)
Miehe, C.; Koch, A. Computational micro-to-macro transitions of discretized microstructures undergoing small strains. (English) Zbl 1032.74010 Arch. Appl. Mech. 72, No. 4-5, 300-317 (2002). MSC: 74A60 74A40 74Q15 PDFBibTeX XMLCite \textit{C. Miehe} and \textit{A. Koch}, Arch. Appl. Mech. 72, No. 4--5, 300--317 (2002; Zbl 1032.74010) Full Text: DOI
Sevostianov, I.; Kachanov, M. Explicit cross-property correlations for anisotropic two-phase composite materials. (English) Zbl 1008.74003 J. Mech. Phys. Solids 50, No. 2, 253-282 (2002). MSC: 74A40 74E10 74Q15 PDFBibTeX XMLCite \textit{I. Sevostianov} and \textit{M. Kachanov}, J. Mech. Phys. Solids 50, No. 2, 253--282 (2002; Zbl 1008.74003) Full Text: DOI
Ostoja-Starzewski, M. Mechanics of random materials. Stochastics, scale effects and computation. (English) Zbl 1017.74005 Jeulin, Dominique (ed.) et al., Mechanics of random and multiscale microstructures. Wien: Springer. CISM Courses Lect. 430, 93-161 (2001). Reviewer: I.A.Parinov (Rostov-na-Donu) MSC: 74A40 74Q20 74S05 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, CISM Courses Lect. 430, 93--161 (2001; Zbl 1017.74005)
Jeulin, Dominique (ed.); Ostoja-Starzewski, Martin (ed.) Mechanics of random and multiscale microstructures. (English) Zbl 0984.00031 CISM Courses and Lectures. 430. Wien: Springer. vii, 267 p. (2001). MSC: 00B15 74-06 74E35 PDFBibTeX XMLCite \textit{D. Jeulin} (ed.) and \textit{M. Ostoja-Starzewski} (ed.), Mechanics of random and multiscale microstructures. Wien: Springer (2001; Zbl 0984.00031)
Milton, Graeme W.; Serkov, Sergey K. Bounding the current in nonlinear conducting composites. (English) Zbl 0991.78019 J. Mech. Phys. Solids 48, No. 6-7, 1295-1324 (2000). MSC: 78A48 49S05 PDFBibTeX XMLCite \textit{G. W. Milton} and \textit{S. K. Serkov}, J. Mech. Phys. Solids 48, No. 6--7, 1295--1324 (2000; Zbl 0991.78019) Full Text: DOI
Van Siclen, Clinton DeW. Anomalous walker diffusion through composite systems. (English) Zbl 0938.82030 J. Phys. A, Math. Gen. 32, No. 31, 5763-5771 (1999). MSC: 82B44 82-04 82B41 PDFBibTeX XMLCite \textit{C. DeW. Van Siclen}, J. Phys. A, Math. Gen. 32, No. 31, 5763--5771 (1999; Zbl 0938.82030) Full Text: DOI
Mello, Pier A.; Baranger, Harold U. Interference phenomena in electronic transport through chaotic cavities: An information-theoretic approach. (English) Zbl 0945.60097 Waves Random Media 9, No. 2, 105-146 (1999); corrigendum ibid. 10, No. 2, 337 (2000). Reviewer: S.Mika (Plzeň) MSC: 60K40 PDFBibTeX XMLCite \textit{P. A. Mello} and \textit{H. U. Baranger}, Waves Random Media 9, No. 2, 105--146 (1999; Zbl 0945.60097) Full Text: DOI arXiv
Kailasam, M.; Ponte Castañeda, P. A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. (English) Zbl 0974.74502 J. Mech. Phys. Solids 46, No. 3, 427-465 (1998). MSC: 74A40 74E30 PDFBibTeX XMLCite \textit{M. Kailasam} and \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 46, No. 3, 427--465 (1998; Zbl 0974.74502) Full Text: DOI
Ponte Castañeda, Pedro; Suquet, Pierre Nonlinear composites. (English) Zbl 0889.73049 Adv. Appl. Mech. 34, 171-302 (1998). MSC: 74E30 74S30 74P10 74-02 74A40 PDFBibTeX XMLCite \textit{P. Ponte Castañeda} and \textit{P. Suquet}, in: Advances in Applied Mechanics. Vol. 34. San Diego, CA: Academic Press. 171--302 (1998; Zbl 0889.73049)
Ostoja-Starzewski, Martin Wavefront propagation in a class of random microstructures. II: Nonlinear elastic grains. (English) Zbl 0873.73031 Int. J. Non-Linear Mech. 30, No. 6, 771-781 (1995). MSC: 74J99 74H50 74A60 74M25 74B20 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, Int. J. Non-Linear Mech. 30, No. 6, 771--781 (1995; Zbl 0873.73031) Full Text: DOI
Ostoja-Starzewski, Martin Wavefront propagation in a class of random microstructures. I: Bilinear elastic grains. (English) Zbl 0749.73025 Int. J. Non-Linear Mech. 26, No. 5, 655-669 (1991). MSC: 74J10 74A40 74A60 74M25 60J60 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, Int. J. Non-Linear Mech. 26, No. 5, 655--669 (1991; Zbl 0749.73025) Full Text: DOI
Weaver, R. L. Diffusivity of ultrasound in polycrystals. (English) Zbl 0706.73028 J. Mech. Phys. Solids 38, No. 1, 55-86 (1990). MSC: 74J20 74A40 74E10 82D25 PDFBibTeX XMLCite \textit{R. L. Weaver}, J. Mech. Phys. Solids 38, No. 1, 55--86 (1990; Zbl 0706.73028) Full Text: DOI
Kreher, Wolfgang; Pompe, Wolfgang Internal stresses in heterogeneous solids. (English) Zbl 0760.73001 Physical Research. 9. Berlin: Akademie-Verlag GmbH. 225 p. (1989). Reviewer: N.Sandru (Bucureşti) MSC: 74-02 74A60 74M25 PDFBibTeX XMLCite \textit{W. Kreher} and \textit{W. Pompe}, Internal stresses in heterogeneous solids. Berlin: Akademie-Verlag GmbH (1989; Zbl 0760.73001)
Ostoja-Starzewski, M.; Wang, C. Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. (English) Zbl 0711.73275 Acta Mech. 80, No. 1-2, 61-80 (1989). MSC: 74S30 74A40 74K10 05B45 05C80 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski} and \textit{C. Wang}, Acta Mech. 80, No. 1--2, 61--80 (1989; Zbl 0711.73275) Full Text: DOI
Ostoja-Starzewski, M. Wavefront propagation in discrete random media via stochastic Huygens’ minor principle. (English) Zbl 0664.73010 J. Franklin Inst. 326, No. 2, 281-293 (1989). MSC: 74J99 74H50 74A40 74E05 60J20 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, J. Franklin Inst. 326, No. 2, 281--293 (1989; Zbl 0664.73010) Full Text: DOI
Spencer, A. J. M. (ed.) Continuum models of discrete systems. Proceedings of the Fifth International Symposium on Continuum Models of Discrete Systems, Nottingham (England), July 14-20, 1985. (English) Zbl 0652.73001 Rotterdam - Boston: A. A. Balkema. VII, 240 p. (1987). Reviewer: D.Ieşan MSC: 74-06 74Axx 74A20 74A15 74A40 76A02 74A60 74M25 74C99 74E05 74E30 82D25 PDFBibTeX XML
Sheng, Ping Microstructures and physical properties of composities. (English) Zbl 0649.73009 Homogenization and effective moduli of materials and media, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 1, 196-227 (1986). Reviewer: J.J.Telega MSC: 74E05 74A40 74E30 74A60 74M25 PDFBibTeX XML