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2023
Bertrand F, Mang K. Recent Fails and Findings of Numerical Methods in Mechanics. Examples and Counterexamples. 2023 Nov;3:100098. Epub 2022 Dez 31. doi: 10.1016/j.exco.2022.100098
Khimin D, Kolditz LM, Kosin V, Mang K, Wick T. Modeling, Discretization, Optimization, and Simulation of Phase-Field Fracture Problems. 2023. 125 S. doi: 10.15488/15172
Kolditz L, Mang K, Wick T. A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit. Computer Methods in Applied Mechanics and Engineering. 2023 Sep 1;414:116170. Epub 2023 Jun 23. doi: 10.48550/arXiv.2306.03501, 10.1016/j.cma.2023.116170
2022
Basava S, Mang K, Walloth M, Wick T, Wollner W. Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture. in Non-standard Discretisation Methods in Solid Mechanics. Cham: Springer Science and Business Media Deutschland GmbH. 2022. S. 191-215. (Lecture Notes in Applied and Computational Mechanics). doi: 10.1007/978-3-030-92672-4_8
Kolditz L, Mang K. On the relation of Gamma-convergence parameters for pressure-driven quasi-static phase-field fracture. Examples and Counterexamples. 2022 Nov;2:100047. 100047. Epub 2022 Feb 1. doi: 10.1016/j.exco.2022.100047
Mang K. Phase-field fracture modeling, numerical solution, and simulations for compressible and incompressible solids. Hannover: Leibniz Universität Hannover, 2022. 195 S. doi: 10.15488/11928
2021
Fehse A, Kröger NH, Mang K, Wick T. Crack path comparisons of a mixed phase-field fracture model and experiments in punctured EPDM strips. PAMM. 2021 Jan 25;20(1):e202000335. doi: 10.1002/pamm.202000335
Mang K, Fehse A, Kröger NH, Wick T. A mixed phase-field fracture model for crack propagation in punctured EPDM strips. Theoretical and Applied Fracture Mechanics. 2021 Okt;115:103076. Epub 2021 Aug 18. doi: 10.1016/j.tafmec.2021.103076
Mang K, Wick T. Numerical Studies of Different Mixed Phase-Field Fracture Models for Simulating Crack Propagation in Punctured EPDM Strips. World Congress in Computational Mechanics and ECCOMAS Congress. 2021;2100. doi: 10.23967/wccm-eccomas.2020.145
Schröder J, Wick T, Reese S, Wriggers P, Müller R, Kollmannsberger S et al. A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics. Archives of Computational Methods in Engineering. 2021 Mär;28(2):713-751. Epub 2020 Sep 18. doi: 10.1007/s11831-020-09477-3
2020
Mang K, Walloth M, Wick T, Wollner W. Adaptive Numerical Simulation of a Phase-Field Fracture Model in Mixed Form Tested on an L-shaped Specimen with High Poisson Ratios. in Vermolen FJ, Vuik C, Hrsg., Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Springer Science and Business Media Deutschland GmbH. 2020. S. 1185-1193. (Lecture Notes in Computational Science and Engineering). doi: 10.48550/arXiv.2003.09459, 10.1007/978-3-030-55874-1_118
Mang K, Wick T, Wollner W. A phase-field model for fractures in nearly incompressible solids. Computational mechanics. 2020 Jan;65(1):61-78. Epub 2019 Jul 24. doi: 10.1007/s00466-019-01752-w
Mang K, Walloth M, Wick T, Wollner W. Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator. GAMM Mitteilungen. 2020 Mär 3;43(1):e202000003. Epub 2019 Aug 22. doi: 10.1002/gamm.202000003