Zhang, Hao; Dolbow, John E.; Guilleminot, Johann Representing model uncertainties in brittle fracture simulations. (English) Zbl 07823457 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116575, 23 p. (2024). MSC: 86-XX 74-XX PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116575, 23 p. (2024; Zbl 07823457) Full Text: DOI
Kosin, V.; Fau, A.; Jailin, C.; Hild, F.; Wick, T. Parameter identification of a phase-field fracture model using integrated digital image correlation. (English) Zbl 07820235 Comput. Methods Appl. Mech. Eng. 420, Article ID 116689, 18 p. (2024). MSC: 74-XX 86-XX PDFBibTeX XMLCite \textit{V. Kosin} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116689, 18 p. (2024; Zbl 07820235) Full Text: DOI
Khimin, Denis; Steinbach, Marc Christian; Wick, Thomas Space-time mixed system formulation of phase-field fracture optimal control problems. (English) Zbl 07785190 J. Optim. Theory Appl. 199, No. 3, 1222-1248 (2023). MSC: 74R10 65N30 49M15 49K20 35Q74 PDFBibTeX XMLCite \textit{D. Khimin} et al., J. Optim. Theory Appl. 199, No. 3, 1222--1248 (2023; Zbl 07785190) Full Text: DOI OA License
Noii, Nima; Jahangiry, Hassan Ali; Waisman, Haim Level-set topology optimization for ductile and brittle fracture resistance using the phase-field method. (English) Zbl 07682848 Comput. Methods Appl. Mech. Eng. 409, Article ID 115963, 48 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{N. Noii} et al., Comput. Methods Appl. Mech. Eng. 409, Article ID 115963, 48 p. (2023; Zbl 07682848) Full Text: DOI arXiv
Nagaraja, Sindhu; Römer, Ulrich; Matthies, Hermann G.; De Lorenzis, Laura Deterministic and stochastic phase-field modeling of anisotropic brittle fracture. (English) Zbl 07665608 Comput. Methods Appl. Mech. Eng. 408, Article ID 115960, 32 p. (2023). MSC: 82-XX 74-XX PDFBibTeX XMLCite \textit{S. Nagaraja} et al., Comput. Methods Appl. Mech. Eng. 408, Article ID 115960, 32 p. (2023; Zbl 07665608) Full Text: DOI
Jiang, Yang; Li, Cunyi; Wu, Chi; Rabczuk, Timon; Fang, Jianguang A double-phase field method for mixed mode crack modelling in 3D elasto-plastic solids with crack-direction-based strain energy decomposition. (English) Zbl 07653078 Comput. Methods Appl. Mech. Eng. 405, Article ID 115886, 29 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Y. Jiang} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115886, 29 p. (2023; Zbl 07653078) Full Text: DOI
Khimin, D.; Steinbach, M. C.; Wick, T. Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems. (English) Zbl 07599599 J. Comput. Phys. 470, Article ID 111554, 32 p. (2022). MSC: 74Rxx 74Sxx 65Nxx PDFBibTeX XMLCite \textit{D. Khimin} et al., J. Comput. Phys. 470, Article ID 111554, 32 p. (2022; Zbl 07599599) Full Text: DOI arXiv
Noii, Nima; Khodadadian, Amirreza; Aldakheel, Fadi Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures. (English) Zbl 1507.74407 Comput. Methods Appl. Mech. Eng. 399, Article ID 115358, 27 p. (2022). MSC: 74R10 74S60 PDFBibTeX XMLCite \textit{N. Noii} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115358, 27 p. (2022; Zbl 1507.74407) Full Text: DOI arXiv
Friguis, Maiquison S.; Knupp, Diego C.; Abreu, Luiz A. S.; Stutz, Leonardo T.; Neto, Antônio J. Silva Inverse population dynamics problem employing a low cost integral transform solution and Bayesian inference with approximation error model. (English) Zbl 1486.92156 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 189, 25 p. (2021). MSC: 92D25 91D20 44A05 65R10 PDFBibTeX XMLCite \textit{M. S. Friguis} et al., Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 189, 25 p. (2021; Zbl 1486.92156) Full Text: DOI
Sabatini, Luca A linear theory of beams with deformable cross section. (English) Zbl 1499.74006 J. Math. Model. 9, No. 3, 465-483 (2021). MSC: 74A05 74B05 74E10 74K10 PDFBibTeX XMLCite \textit{L. Sabatini}, J. Math. Model. 9, No. 3, 465--483 (2021; Zbl 1499.74006) Full Text: DOI
Noii, Nima; Khodadadian, Amirreza; Ulloa, Jacinto; Aldakheel, Fadi; Wick, Thomas; François, Stijn; Wriggers, Peter Bayesian inversion for unified ductile phase-field fracture. (English) Zbl 1478.74076 Comput. Mech. 68, No. 4, 943-980 (2021). MSC: 74R20 74S60 74E10 62F15 PDFBibTeX XMLCite \textit{N. Noii} et al., Comput. Mech. 68, No. 4, 943--980 (2021; Zbl 1478.74076) Full Text: DOI arXiv
Aldakheel, Fadi; Noii, Nima; Wick, Thomas; Allix, Olivier; Wriggers, Peter Multilevel global-local techniques for adaptive ductile phase-field fracture. (English) Zbl 1507.74031 Comput. Methods Appl. Mech. Eng. 387, Article ID 114175, 38 p. (2021). MSC: 74A45 74S05 65M60 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114175, 38 p. (2021; Zbl 1507.74031) Full Text: DOI arXiv
Noii, Nima; Khodadadian, Amirreza; Wick, Thomas Bayesian inversion for anisotropic hydraulic phase-field fracture. (English) Zbl 1507.74408 Comput. Methods Appl. Mech. Eng. 386, Article ID 114118, 37 p. (2021). MSC: 74R10 74S05 65M60 76S05 PDFBibTeX XMLCite \textit{N. Noii} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114118, 37 p. (2021; Zbl 1507.74408) Full Text: DOI arXiv
Dehghan, Mehdi; Gharibi, Zeinab Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model. (English) Zbl 1510.82056 Appl. Math. Comput. 410, Article ID 126487, 31 p. (2021). MSC: 82M10 65M60 82B24 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{Z. Gharibi}, Appl. Math. Comput. 410, Article ID 126487, 31 p. (2021; Zbl 1510.82056) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi A divergence-free generalized moving least squares approximation with its application. (English) Zbl 1458.76080 Appl. Numer. Math. 162, 374-404 (2021). MSC: 76M99 76T06 76S05 65M15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 162, 374--404 (2021; Zbl 1458.76080) Full Text: DOI