GitHub
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C. Willberg, L. Wiedemann and M. Rädel. A mode-dependent energy-based damage model for peridynamics and its implementation. Journal of Mechanics of Materials and Structures 14, 193–217 (2019).
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C. Willberg, J.-T. Hesse and A. Pernatii. PeriLab - Peridynamic Laboratory. SoftwareX 26 (2024).
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C. Willberg, J.-T. Hesse, F. Winkelmann and R. Hein. Peridynamic Framework to Model Additive Manufacturing Processes. Advanced Theory and Simulations n/a, 2400818 (2024), arXiv:https://onlinelibrary.wiley.com/doi/pdf/10.1002/adts.202400818.
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S. A. Silling, M. Epton, O. Weckner, J. Xu and E. Askari. Peridynamic States and Constitutive Modeling. Journal of Elasticity 88, 151–184 (2007).
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M. R. Tupek. Extension of the peridynamic theory of solids for the simulation of materials under extreme loadings. Ph.D. Thesis, Massachusetts Intitute of Technology (2014).
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M. Breitenfeld, P. Geubelle, O. Weckner and S. A. Silling. Non-ordinary state-based peridynamic analysis of stationary crack problems. Computer Methods in Applied Mechanics and Engineering 272, 233–250 (2014).
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H. Chen. Bond-associated deformation gradients for peridynamic correspondence model. Mechanics Research Communications 90, 34–41 (2018).
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M. Tupek and R. Radovitzky. An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures. Journal of the Mechanics and Physics of Solids 65, 82–92 (2014).
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J. Wan, Z. Chen, X. Chu and H. Liu. Improved method for zero-energy mode suppression in peridynamic correspondence model. Acta Mechanica Sinica 35, 1021–1035 (2019).
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S. A. Silling. Stability of peridynamic correspondence material models and their particle discretizations. Computer Methods in Applied Mechanics and Engineering 332, 42–57 (2017).
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S. Oterkus, E. Madenci and A. Agwai. Fully coupled peridynamic thermomechanics. Journal of the Mechanics and Models of Solids 64, 1–23 (2014).
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O. C. Zienkiewicz, R. L. Taylor and J. Z. Zhu. The Finite Element Method: Its Basis and Fundamentals. 7th Edition (Butterworth-Heinemann, 2013).
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C. Willberg. Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring. Dissertation, Otto von Guericke University Magdeburg (2012). Open-Access-Publikation.
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M. Abramowitz and I. A. Stegun. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Vol. 55 of Applied Mathematics Series (United States Department of Commerce, National Bureau of Standards; Dover Publications, Washington D.C.; New York, 1983); p. 878. [June 1964], Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first edition.
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D. J. Littlewood, J. D. Thomas and T. Shelton. Estimation of the Critical Time Step for Peridynamic Models. In: Proceedings of the 12th U.S. National Congress on Computational Mechanics (2013).
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E. Madenci and E. Oterkus. Peridynamic Theory and Its Applications (Springer New York, 2014).