[{"title":"Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space","year":"2023","publication_identifier":{"issn":["0997-7538"]},"author":[{"last_name":"Friedlein","first_name":"Johannes","full_name":"Friedlein, Johannes"},{"first_name":"Julia","last_name":"Mergheim","full_name":"Mergheim, Julia"},{"first_name":"Paul","last_name":"Steinmann","full_name":"Steinmann, Paul"}],"publication_status":"published","date_updated":"2026-02-24T14:37:05Z","article_type":"original","intvolume":"        99","article_number":"104946","language":[{"iso":"eng"}],"doi":"10.1016/j.euromechsol.2023.104946","publication":"European Journal of Mechanics - A/Solids","abstract":[{"text":"We contrast different gradient-enhancements for plasticity-damage material models in the logarithmic strain space and compare them to reference models based on multiplicative plasticity. The models being compared include plasticity - gradient-damage, where the gradient-enhancement is applied on the local damage variable, and gradient-plasticity - damage with a gradient-enhanced plastic hardening variable. Thereby, gradient-plasticity proved to be able to simultaneously regularise plastic and ductile (plasticity-driven) damage localisation as confirmed by numerical localisation analyses. This appears to be especially advantageous for logarithmic strain space plasticity-damage, because of the observed plastic localisation even for the case of plasticity with hardening. Even though gradient-plasticity appears to be numerically more demanding, two numerical examples indicate a good robustness and mesh objectivity in the softening regime. Moreover, the internal length for plasticity is able to adjust the damage zone width, similarly to gradient-damage, however ensuring a priori that damage takes place exclusively inside the plastic zone.","lang":"eng"}],"date_created":"2024-09-10T15:23:49Z","keyword":["Finite plasticity","Logarithmic strain space","Ductile damage","Gradient-enhancement","Gradient-plasticity","Gradient-damage","Loss of ellipticity"],"type":"journal_article","status":"public","_id":"56097","publisher":"Elsevier BV","user_id":"84990","volume":99,"citation":{"mla":"Friedlein, Johannes, et al. “Efficient Gradient Enhancements for Plasticity with Ductile Damage in the Logarithmic Strain Space.” <i>European Journal of Mechanics - A/Solids</i>, vol. 99, 104946, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>.","apa":"Friedlein, J., Mergheim, J., &#38; Steinmann, P. (2023). Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space. <i>European Journal of Mechanics - A/Solids</i>, <i>99</i>, Article 104946. <a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">https://doi.org/10.1016/j.euromechsol.2023.104946</a>","ieee":"J. Friedlein, J. Mergheim, and P. Steinmann, “Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space,” <i>European Journal of Mechanics - A/Solids</i>, vol. 99, Art. no. 104946, 2023, doi: <a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>.","ama":"Friedlein J, Mergheim J, Steinmann P. Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space. <i>European Journal of Mechanics - A/Solids</i>. 2023;99. doi:<a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>","short":"J. Friedlein, J. Mergheim, P. Steinmann, European Journal of Mechanics - A/Solids 99 (2023).","chicago":"Friedlein, Johannes, Julia Mergheim, and Paul Steinmann. “Efficient Gradient Enhancements for Plasticity with Ductile Damage in the Logarithmic Strain Space.” <i>European Journal of Mechanics - A/Solids</i> 99 (2023). <a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">https://doi.org/10.1016/j.euromechsol.2023.104946</a>.","bibtex":"@article{Friedlein_Mergheim_Steinmann_2023, title={Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space}, volume={99}, DOI={<a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>}, number={104946}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier BV}, author={Friedlein, Johannes and Mergheim, Julia and Steinmann, Paul}, year={2023} }"},"project":[{"name":"TRR 285: TRR 285","_id":"130"},{"_id":"131","name":"TRR 285 - A: TRR 285 - Project Area A"},{"name":"TRR 285 – A05: TRR 285 - Subproject A05","_id":"139"},{"_id":"130","name":"TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen Prozessketten"}]},{"date_updated":"2025-12-03T12:50:06Z","publication_status":"published","intvolume":"        98","year":"2022","title":"Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences","author":[{"full_name":"Schulte, Robin","last_name":"Schulte","first_name":"Robin"},{"full_name":"Karca, Cavid","last_name":"Karca","first_name":"Cavid"},{"orcid":"0000-0003-2147-8444","first_name":"Richard","last_name":"Ostwald","full_name":"Ostwald, Richard","id":"106876"},{"last_name":"Menzel","first_name":"Andreas","full_name":"Menzel, Andreas"}],"publication_identifier":{"issn":["0997-7538"]},"doi":"10.1016/j.euromechsol.2022.104854","article_number":"104854","language":[{"iso":"eng"}],"publication":"European Journal of Mechanics - A/Solids","type":"journal_article","department":[{"_id":"952"},{"_id":"321"}],"date_created":"2025-12-03T12:49:17Z","status":"public","user_id":"85414","volume":98,"publisher":"Elsevier BV","_id":"62771","quality_controlled":"1","citation":{"apa":"Schulte, R., Karca, C., Ostwald, R., &#38; Menzel, A. (2022). Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences. <i>European Journal of Mechanics - A/Solids</i>, <i>98</i>, Article 104854. <a href=\"https://doi.org/10.1016/j.euromechsol.2022.104854\">https://doi.org/10.1016/j.euromechsol.2022.104854</a>","mla":"Schulte, Robin, et al. “Machine Learning-Assisted Parameter Identification for Constitutive Models Based on Concatenated Loading Path Sequences.” <i>European Journal of Mechanics - A/Solids</i>, vol. 98, 104854, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.euromechsol.2022.104854\">10.1016/j.euromechsol.2022.104854</a>.","ieee":"R. Schulte, C. Karca, R. Ostwald, and A. Menzel, “Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences,” <i>European Journal of Mechanics - A/Solids</i>, vol. 98, Art. no. 104854, 2022, doi: <a href=\"https://doi.org/10.1016/j.euromechsol.2022.104854\">10.1016/j.euromechsol.2022.104854</a>.","chicago":"Schulte, Robin, Cavid Karca, Richard Ostwald, and Andreas Menzel. “Machine Learning-Assisted Parameter Identification for Constitutive Models Based on Concatenated Loading Path Sequences.” <i>European Journal of Mechanics - A/Solids</i> 98 (2022). <a href=\"https://doi.org/10.1016/j.euromechsol.2022.104854\">https://doi.org/10.1016/j.euromechsol.2022.104854</a>.","ama":"Schulte R, Karca C, Ostwald R, Menzel A. Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences. <i>European Journal of Mechanics - A/Solids</i>. 2022;98. doi:<a href=\"https://doi.org/10.1016/j.euromechsol.2022.104854\">10.1016/j.euromechsol.2022.104854</a>","short":"R. Schulte, C. Karca, R. Ostwald, A. Menzel, European Journal of Mechanics - A/Solids 98 (2022).","bibtex":"@article{Schulte_Karca_Ostwald_Menzel_2022, title={Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences}, volume={98}, DOI={<a href=\"https://doi.org/10.1016/j.euromechsol.2022.104854\">10.1016/j.euromechsol.2022.104854</a>}, number={104854}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier BV}, author={Schulte, Robin and Karca, Cavid and Ostwald, Richard and Menzel, Andreas}, year={2022} }"}},{"date_created":"2023-05-31T12:15:51Z","department":[{"_id":"9"},{"_id":"154"}],"keyword":["General Physics and Astronomy","Mechanical Engineering","Mechanics of Materials","General Materials Science"],"type":"journal_article","issue":"5","publication":"European Journal of Mechanics - A/Solids","language":[{"iso":"eng"}],"doi":"10.1016/s0997-7538(99)00127-8","publication_identifier":{"issn":["0997-7538"]},"author":[{"full_name":"Mahnken, Rolf","first_name":"Rolf","last_name":"Mahnken","id":"335"},{"full_name":"Kuhl, Ellen","first_name":"Ellen","last_name":"Kuhl"}],"title":"Parameter identification of gradient enhanced damage models with the finite element method","year":"2002","intvolume":"        18","date_updated":"2023-05-31T12:17:11Z","publication_status":"published","citation":{"ieee":"R. Mahnken and E. Kuhl, “Parameter identification of gradient enhanced damage models with the finite element method,” <i>European Journal of Mechanics - A/Solids</i>, vol. 18, no. 5, pp. 819–835, 2002, doi: <a href=\"https://doi.org/10.1016/s0997-7538(99)00127-8\">10.1016/s0997-7538(99)00127-8</a>.","apa":"Mahnken, R., &#38; Kuhl, E. (2002). Parameter identification of gradient enhanced damage models with the finite element method. <i>European Journal of Mechanics - A/Solids</i>, <i>18</i>(5), 819–835. <a href=\"https://doi.org/10.1016/s0997-7538(99)00127-8\">https://doi.org/10.1016/s0997-7538(99)00127-8</a>","chicago":"Mahnken, Rolf, and Ellen Kuhl. “Parameter Identification of Gradient Enhanced Damage Models with the Finite Element Method.” <i>European Journal of Mechanics - A/Solids</i> 18, no. 5 (2002): 819–35. <a href=\"https://doi.org/10.1016/s0997-7538(99)00127-8\">https://doi.org/10.1016/s0997-7538(99)00127-8</a>.","short":"R. Mahnken, E. Kuhl, European Journal of Mechanics - A/Solids 18 (2002) 819–835.","mla":"Mahnken, Rolf, and Ellen Kuhl. “Parameter Identification of Gradient Enhanced Damage Models with the Finite Element Method.” <i>European Journal of Mechanics - A/Solids</i>, vol. 18, no. 5, Elsevier BV, 2002, pp. 819–35, doi:<a href=\"https://doi.org/10.1016/s0997-7538(99)00127-8\">10.1016/s0997-7538(99)00127-8</a>.","bibtex":"@article{Mahnken_Kuhl_2002, title={Parameter identification of gradient enhanced damage models with the finite element method}, volume={18}, DOI={<a href=\"https://doi.org/10.1016/s0997-7538(99)00127-8\">10.1016/s0997-7538(99)00127-8</a>}, number={5}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier BV}, author={Mahnken, Rolf and Kuhl, Ellen}, year={2002}, pages={819–835} }","ama":"Mahnken R, Kuhl E. Parameter identification of gradient enhanced damage models with the finite element method. <i>European Journal of Mechanics - A/Solids</i>. 2002;18(5):819-835. doi:<a href=\"https://doi.org/10.1016/s0997-7538(99)00127-8\">10.1016/s0997-7538(99)00127-8</a>"},"quality_controlled":"1","_id":"45424","publisher":"Elsevier BV","page":"819-835","volume":18,"user_id":"335","status":"public"}]