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
Yang, Zhiqiang; Rao, Yipeng; Sun, Yi; Cui, Junzhi; Xiang, Meizhen A second-order strain gradient fracture model for the brittle materials with micro-cracks by a multiscale asymptotic homogenization. (English) Zbl 1519.74065 Comput. Mech. 71, No. 6, 1093-1118 (2023). MSC: 74R10 74M25 74Q99 74S05 74K20 PDFBibTeX XMLCite \textit{Z. Yang} et al., Comput. Mech. 71, No. 6, 1093--1118 (2023; Zbl 1519.74065) Full Text: DOI
Miller, Nathan A.; Regueiro, Richard A.; Shahabi, Farhad; Bishop, Joseph E. A micromorphic filter for determining stress and deformation measures from direct numerical simulations of lower length scale behavior. (English) Zbl 07768009 Int. J. Numer. Methods Eng. 123, No. 17, 3879-3921 (2022). MSC: 74Axx 74Sxx PDFBibTeX XMLCite \textit{N. A. Miller} et al., Int. J. Numer. Methods Eng. 123, No. 17, 3879--3921 (2022; Zbl 07768009) 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; 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
Toro, S.; Sánchez, P. J.; Podestá, J. M.; Blanco, P. J.; Huespe, A. E.; Feijóo, R. A. Cohesive surface model for fracture based on a two-scale formulation: computational implementation aspects. (English) Zbl 1398.74414 Comput. Mech. 58, No. 4, 549-585 (2016). MSC: 74S05 74A45 74R99 74Q05 74R10 PDFBibTeX XMLCite \textit{S. Toro} et al., Comput. Mech. 58, No. 4, 549--585 (2016; Zbl 1398.74414) Full Text: DOI Link
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
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
Vernerey, Franck J.; Kabiri, Mirmohammadreza Adaptive concurrent multiscale model for fracture and crack propagation in heterogeneous media. (English) Zbl 1423.74930 Comput. Methods Appl. Mech. Eng. 276, 566-588 (2014). MSC: 74S05 74A45 74Q05 PDFBibTeX XMLCite \textit{F. J. Vernerey} and \textit{M. Kabiri}, Comput. Methods Appl. Mech. Eng. 276, 566--588 (2014; Zbl 1423.74930) 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
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
Vernerey, Franck J.; Kabiri, Mirmohammadreza An adaptive concurrent multiscale method for microstructured elastic solids. (English) Zbl 1353.74076 Comput. Methods Appl. Mech. Eng. 241-244, 52-64 (2012). MSC: 74S05 74Q05 74B05 74N15 PDFBibTeX XMLCite \textit{F. J. Vernerey} and \textit{M. Kabiri}, Comput. Methods Appl. Mech. Eng. 241--244, 52--64 (2012; Zbl 1353.74076) Full Text: DOI
Farsad, Mehdi; Vernerey, Franck J. An XFEM-based numerical strategy to model mechanical interactions between biological cells and a deformable substrate. (English) Zbl 1352.92004 Int. J. Numer. Methods Eng. 92, No. 3, 238-267 (2012). MSC: 92-08 92C37 65M60 PDFBibTeX XMLCite \textit{M. Farsad} and \textit{F. J. Vernerey}, Int. J. Numer. Methods Eng. 92, No. 3, 238--267 (2012; Zbl 1352.92004) 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
Tang, Shan; Greene, M. Steven; Liu, Wing Kam Two-scale mechanism-based theory of nonlinear viscoelasticity. (English) Zbl 1244.74098 J. Mech. Phys. Solids 60, No. 2, 199-226 (2012); erratum ibid. 61, No. 1, 91-93 (2013). MSC: 74N15 74D10 PDFBibTeX XMLCite \textit{S. Tang} et al., J. Mech. Phys. Solids 60, No. 2, 199--226 (2012; Zbl 1244.74098) Full Text: DOI
Ramézani, Hamidréza; Jeong, Jena; Feng, Zhi-Qiang On parallel simulation of a new linear Cosserat elasticity model with grid framework model assumptions. (English) Zbl 1228.74009 Appl. Math. Modelling 35, No. 10, 4738-4758 (2011). MSC: 74B05 74A60 74S05 PDFBibTeX XMLCite \textit{H. Ramézani} et al., Appl. Math. Modelling 35, No. 10, 4738--4758 (2011; Zbl 1228.74009) Full Text: DOI HAL
Li, Yaning; Waas, Anthony M.; Arruda, Ellen M. A closed-form, hierarchical, multi-interphase model for composites-derivation, verification and application to nanocomposites. (English) Zbl 1225.74028 J. Mech. Phys. Solids 59, No. 1, 43-63 (2011). MSC: 74E30 74S05 74M25 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Mech. Phys. Solids 59, No. 1, 43--63 (2011; Zbl 1225.74028) Full Text: DOI
Zeng, Xiaowei; Wang, Xianqiao; Lee, James D.; Lei, Yajie Multiscale modeling of nano/micro systems by a multiscale continuum field theory. (English) Zbl 1398.74010 Comput. Mech. 47, No. 2, 205-216 (2011). MSC: 74A25 74A60 74S05 74E15 74A20 70S05 PDFBibTeX XMLCite \textit{X. Zeng} et al., Comput. Mech. 47, No. 2, 205--216 (2011; Zbl 1398.74010) 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
Vernerey, Franck J.; Barthelat, Francois On the mechanics of fishscale structures. (English) Zbl 1194.74207 Int. J. Solids Struct. 47, No. 17, 2268-2275 (2010). MSC: 74L15 92C10 PDFBibTeX XMLCite \textit{F. J. Vernerey} and \textit{F. Barthelat}, Int. J. Solids Struct. 47, No. 17, 2268--2275 (2010; Zbl 1194.74207) 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
Ghosh, Somnath; Bai, Jie; Paquet, Daniel Homogenization-based continuum plasticity-damage model for ductile failure of materials containing heterogeneities. (English) Zbl 1173.74313 J. Mech. Phys. Solids 57, No. 7, 1017-1044 (2009). MSC: 74C05 PDFBibTeX XMLCite \textit{S. Ghosh} et al., J. Mech. Phys. Solids 57, No. 7, 1017--1044 (2009; Zbl 1173.74313) 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
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