Steinmann, P. and de Villiers, A. M. and McBride, A. T. and Javili, A. (2023) Configurational peridynamics. Mechanics of Materials, 185: 104751. ISSN 0167-6636
AI Summary:
A configurational peridynamics framework is introduced, which captures non-local contributions to material body forces. The framework is demonstrated via a computational example and compared to conventional configurational continuum mechanics.AI Topics:
Configurational forces that drive the evolution of material structures such as defects are introduced into a geometrically-exact peridynamics framework. The concept of bond-number double-density facilitates the definition of a peridynamic potential energy functional that inherits the key features of its conventional (local) continuum and discrete counterparts. The spatial and material variations of the peridynamic potential energy functional give rise to familiar Piola- and Cauchy-type bond-wise interaction forces that enter the point-wise force balance in the spatial and material setting, respectively. It is shown that the point-wise material body force density is a result of a non-local pull-back of the bond-wise spatial interaction force, and thereby captures non-local contributions. Several key features of configurational peridynamics are demonstrated via a computational example and a comparison to conventional configurational continuum mechanics.
Steinmann, P.
Author
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See full publications listde Villiers, A. M.
Author
Steinmann, P. and de Villiers, A. M. and McBride, A. T. and Javili, A. (2023) Configurational peridynamics. Mechanics of Materials, 185: 104751. ISSN 0167-6636
See full publications listMcBride, A. T.
Author
Aggarwal, Ankush and Williams, Ross and Rosnel, Claire and Renon, Silvia and Hussain, Jude M. and Schmidt, André F. and Huang, Shiting and Mcginty, Sean and McBride, Andrew (2025) pyMechT: A Python package for mechanics of soft tissues. Journal of Open Source Software, 10 (106): 7490. ISSN 2475-9066
Hamed, M.M.O. and McBride, Andrew T. and Reddy, B.D. (2023) An ALE approach for large-deformation thermoplasticity with application to friction welding. Computational Mechanics, 72. pp. 803-826. ISSN 0178-7675
Steinmann, P. and de Villiers, A. M. and McBride, A. T. and Javili, A. (2023) Configurational peridynamics. Mechanics of Materials, 185: 104751. ISSN 0167-6636
See full publications listJavili, A.
Author
Steinmann, P. and de Villiers, A. M. and McBride, A. T. and Javili, A. (2023) Configurational peridynamics. Mechanics of Materials, 185: 104751. ISSN 0167-6636
See full publications listAvailable under License Creative Commons Attribution.
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