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Bartel T, Harnisch M, Schweizer B and Menzel A (2023), "A data-driven approach for plasticity using history surrogates: theory and application in the context of truss structures", Comput. Methods Appl. Mech. Engrg. Vol. 414(116138), pp. 22.
BibTeX:
@article{Bartel-Harnisch-Schweizer-Menzel-2023,
  author = {Bartel, Thorsten and Harnisch, Marius and Schweizer, Ben and Menzel, Andreas},
  title = {A data-driven approach for plasticity using history surrogates: theory and application in the context of truss structures},
  journal = {Comput. Methods Appl. Mech. Engrg},
  year = {2023},
  volume = {414},
  number = {116138},
  pages = {22},
  url = {https://mathscinet.ams.org/mathscinet/article?mr=4605358},
  doi = {https://www.sciencedirect.com/science/article/pii/S0045782523002621?via%3Dihub}
}
Poelstra K, Bartel T and Schweizer B (2023), "A data driven framework for evolutionary problems in solid mechanics", ZAMM. Vol. 103(3), pp. 20.
BibTeX:
@article{Poelstra-Bartel-Schweizer-2023,
  author = {Klaas Poelstra and Thorsten Bartel and Ben Schweizer},
  title = {A data driven framework for evolutionary problems in solid mechanics},
  journal = {ZAMM},
  year = {2023},
  volume = {103},
  number = {3},
  pages = {20},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Data-driven-plasticity-preprint-2021.pdf},
  doi = {10.1002/zamm.202100538}
}
Röger M and Schweizer B (2020), "Relaxation analysis in a data driven problem with a single outlier", Calc. Var. Partial Differential Equations. Vol. 59(4), pp. Paper No. 119, 22.
BibTeX:
@article{Roeger-Schweizer-2020,
  author = {Röger, Matthias and Schweizer, Ben},
  title = {Relaxation analysis in a data driven problem with a single outlier},
  journal = {Calc. Var. Partial Differential Equations},
  year = {2020},
  volume = {59},
  number = {4},
  pages = {Paper No. 119, 22},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/datadriven-preprint.pdf},
  doi = {10.1007/s00526-020-01773-x}
}
Heida M and Schweizer B (2018), "Stochastic homogenization of plasticity equations", ESAIM Control Optim. Calc. Var.. Vol. 24(1), pp. 153-176.
BibTeX:
@article{Heida-Schweizer-stoch-2018,
  author = {Heida, Martin and Schweizer, Ben},
  title = {Stochastic homogenization of plasticity equations},
  journal = {ESAIM Control Optim. Calc. Var.},
  year = {2018},
  volume = {24},
  number = {1},
  pages = {153--176},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/stoch-plasticity-MH-BS.pdf},
  doi = {10.1051/cocv/2017015}
}
Röger M and Schweizer B (2017), "Strain gradient visco-plasticity with dislocation densities contributing to the energy", Math Models Methods Appl Sci. Vol. 27(14), pp. 2595-2629.
BibTeX:
@article{Roeger-Schweizer-2017,
  author = {Röger, Matthias and Schweizer, Ben},
  title = {Strain gradient visco-plasticity with dislocation densities contributing to the energy},
  journal = {Math Models Methods Appl Sci},
  year = {2017},
  volume = {27},
  number = {14},
  pages = {2595--2629},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/curl-plast-preprint.pdf},
  doi = {10.1142/S0218202517500531}
}
Heida M and Schweizer B (2016), "Non-periodic homogenization of infinitesimal strain plasticity equations", ZAMM Z. Angew. Math. Mech.. Vol. 96(1), pp. 5-23.
BibTeX:
@article{Heida-Schweizer-2016,
  author = {Heida, Martin and Schweizer, Ben},
  title = {Non-periodic homogenization of infinitesimal strain plasticity equations},
  journal = {ZAMM Z. Angew. Math. Mech.},
  year = {2016},
  volume = {96},
  number = {1},
  pages = {5--23},
  url = {https://eldorado.tu-dortmund.de/handle/2003/33268},
  doi = {10.1002/zamm.201400112}
}
Schweizer B and Veneroni M (2015), "Homogenization of plasticity equations with two-scale convergence methods", Appl. Anal.. Vol. 94(2), pp. 376-399.
BibTeX:
@article{Schweizer-Veneroni-2015,
  author = {Schweizer, B. and Veneroni, M.},
  title = {Homogenization of plasticity equations with two-scale convergence methods},
  journal = {Appl. Anal.},
  year = {2015},
  volume = {94},
  number = {2},
  pages = {376--399},
  url = {https://eldorado.tu-dortmund.de/handle/2003/31083},
  doi = {10.1080/00036811.2014.896992}
}
Schweizer B and Veneroni M (2014), "On non-periodic homogenization of time-dependent equations", Nonlinear Anal Real World Appl. Vol. 15, pp. 381-391.
BibTeX:
@article{Schweizer-Veneroni-2014,
  author = {Schweizer, Ben and Veneroni, Marco},
  title = {On non-periodic homogenization of time-dependent equations},
  journal = {Nonlinear Anal Real World Appl},
  year = {2014},
  volume = {15},
  pages = {381--391},
  doi = {10.1016/j.nonrwa.2012.03.017}
}
Schweizer B and Veneroni M (2011), "The needle problem approach to non-periodic homogenization", Netw. Heterog. Media. Vol. 6(4), pp. 755-781.
BibTeX:
@article{Schweizer-Veneroni-2011,
  author = {Schweizer, Ben and Veneroni, Marco},
  title = {The needle problem approach to non-periodic homogenization},
  journal = {Netw. Heterog. Media},
  year = {2011},
  volume = {6},
  number = {4},
  pages = {755--781},
  url = {https://eldorado.tu-dortmund.de/handle/2003/27571},
  doi = {10.3934/nhm.2011.6.755}
}
Schweizer B and Veneroni M (2010), "Periodic homogenization of Prandtl-Reuss plasticity equations in arbitrary dimension", Journal of Multiscale Modelling. Vol. 2(1-2), pp. 69-106.
BibTeX:
@article{Schweizer-Veneroni-2010,
  author = {Schweizer, Ben and Veneroni, Marco},
  title = {Periodic homogenization of Prandtl-Reuss plasticity equations in arbitrary dimension},
  journal = {Journal of Multiscale Modelling},
  year = {2010},
  volume = {2(1-2)},
  pages = {69--106},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/PrandtlReuss_revised.pdf},
  doi = {10.1142/S1756973710000291}
}
Schweizer B (2009), "Homogenization of the Prager model in one-dimensional plasticity", Contin. Mech. Thermodyn.. Vol. 20(8), pp. 459-477.
BibTeX:
@article{Schweizer2009,
  author = {Schweizer, Ben},
  title = {Homogenization of the Prager model in one-dimensional plasticity},
  journal = {Contin. Mech. Thermodyn.},
  year = {2009},
  volume = {20},
  number = {8},
  pages = {459--477},
  url = {https://eldorado.tu-dortmund.de/handle/2003/25189},
  doi = {10.1007/s00161-009-0094-4}
}
Conti S and Schweizer B (2006), "A sharp-interface limit for a two-well problem in geometrically linear elasticity", Arch. Ration. Mech. Anal.. Vol. 179(3), pp. 413-452.
BibTeX:
@article{Conti-Schweizer-2006,
  author = {Conti, Sergio and Schweizer, Ben},
  title = {A sharp-interface limit for a two-well problem in geometrically linear elasticity},
  journal = {Arch. Ration. Mech. Anal.},
  year = {2006},
  volume = {179},
  number = {3},
  pages = {413--452},
  doi = {10.1007/s00205-005-0397-y}
}
Conti S and Schweizer B (2006), "Gamma convergence for phase transitions in impenetrable elastic materials", In Multi scale problems and asymptotic analysis. Vol. 24, pp. 105-118. Gakkotosho, Tokyo.
BibTeX:
@incollection{Conti-Schweizer-2006,
  author = {Conti, Sergio and Schweizer, Ben},
  title = {Gamma convergence for phase transitions in impenetrable elastic materials},
  booktitle = {Multi scale problems and asymptotic analysis},
  publisher = {Gakkotosho, Tokyo},
  year = {2006},
  volume = {24},
  pages = {105--118}
}
Conti S and Schweizer B (2006), "Rigidity and gamma convergence for solid-solid phase transitions with SO(2) invariance", Comm. Pure Appl. Math.. Vol. 59(6), pp. 830-868.
BibTeX:
@article{Conti-Schweizer-2006,
  author = {Conti, Sergio and Schweizer, Ben},
  title = {Rigidity and gamma convergence for solid-solid phase transitions with SO(2) invariance},
  journal = {Comm. Pure Appl. Math.},
  year = {2006},
  volume = {59},
  number = {6},
  pages = {830--868},
  doi = {10.1002/cpa.20115}
}