Bibliograph. Daten | Diehl, Patrick; Franzelin, Fabian; Pflüger, Dirk; Ganzenmüller, Georg C.: Bond-based peridynamics: a quantitative study of Mode I crack opening. In: International Journal of Fracture. Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik. S. 1-14, englisch. Springer, Mai 2016. ISSN: 1573-2673; DOI: 10.1007/s10704-016-0119-5. Artikel in Zeitschrift.
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CR-Klassif. | I.6 (Simulation and Modeling) G.1.8 (Partial Differential Equations)
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Keywords | Bond-based peridynamics; EMU-ND; critical traction; sparse grids |
Kurzfassung | This paper shows a new approach to estimate the critical traction for Mode I crack opening before crack growth by numerical simulation. For quasi-static loading, Linear Elastic Fracture Mechanics predicts the critical traction before crack growth. To simulate the crack growth, we used bond-based peridynamics, a non-local generalization of continuum mechanics. We discretize the peridynamics equation of motion with a collocation by space approach, the so-called EMU nodal discretization. As the constitutive law, we employ the improved prototype micro brittle material model. This bond-based material model is verified by the Young's modulus from classical theory for a homogeneous deformation for different quadrature rules. For the EMU-ND we studied the behavior for different ratios of the horizon and nodal spacing to gain a robust value for a large variety of materials. To access this wide range of materials, we applied sparse grids, a technique to build high-dimensional surrogate models. Sparse grids significantly reduce the number of simulation runs compared to a full grid approach and keep up a similar approximation accuracy. For the validation of the quasi-static loading process, we show that the critical traction is independent of the material density for most material parameters. The bond-based IPMB model with EMU nodal discretization seems very robust for the ratio $\delta/\Delta X=3$ for a wide range of materials, if an error of 5\% is acceptable.
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Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Simulation großer Systeme
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Projekt(e) | SimTech UQ
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Eingabedatum | 27. Mai 2016 |
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