| Harnisch M, Bartel T, Menzel A and Schweizer B (2026), "On Challenges Using Long Short-Term Memory Networks in Data-Driven Inelasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 26(2), pp. e70115. |
BibTeX:
@article{Harnisch-Bartel-Menzel-Schweizer-2026,
author = {Harnisch, Marius and Bartel, Thorsten and Menzel, Andreas and Schweizer, Ben},
title = {On Challenges Using Long Short-Term Memory Networks in Data-Driven Inelasticity},
journal = {Proceedings in Applied Mathematics and Mechanics},
year = {2026},
volume = {26},
number = {2},
pages = {e70115},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.70115},
doi = {10.1002/pamm.70115}
}
|
| Harnisch M, Bartel T, Weyergraf L, Menzel A and Schweizer B (2024), "Data-driven simulation of functional fatigue in shape memory alloy wires", Proceedings in Applied Mathematics and Mechanics. Vol. 24(2), pp. e202400079. |
| Abstract: Abstract Data-driven mechanics offers great potential in
engineering applications, where the efficient simulation of complex and, in particular, path-dependent material behavior is often challenging. Within this approach, conventional material models are replaced by data sets containing snapshots of stress, strain and the history of both assumed to be sufficiently accurate representations of the underlying material behavior. Based on these snapshots and on physical admissibility, a distance function is built which is minimized to yield the boundary value problems' solution. The aim of this paper is to apply this framework to accurately simulate the complex behavior of shape memory alloy wires under cyclic loading, under which these materials exhibit a degradation of their features, denoted functional fatigue. The constructed synthetic data sets are enriched by real experimental data, showcasing that the data-driven method is capable of combining both approaches of classic material modeling and modern methods which directly incorporate experimental data. |
BibTeX:
@article{Harnisch-Bartel-W-Menzel-Schweizer-2024,
author = {Harnisch, Marius and Bartel, Thorsten and Weyergraf, Lukas and Menzel, Andreas and Schweizer, Ben},
title = {Data-driven simulation of functional fatigue in shape memory alloy wires},
journal = {Proceedings in Applied Mathematics and Mechanics},
year = {2024},
volume = {24},
number = {2},
pages = {e202400079},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202400079},
doi = {10.1002/pamm.202400079}
}
|
| 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}
}
|
| 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://wwwold.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://wwwold.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://wwwold.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://wwwold.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://wwwold.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-Arch-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] |
BibTeX:
@incollection{Conti-Schweizer-impenetrable-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-CPAM-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}
}
|