Set-Valued Force Laws: Dynamics of Non-Smooth Systems

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Element-wise fracture algorithm based on rotation of edges (2013, methodology): “This simple mixed-mode law and the related kinematical shift were found to be appropriate for the examples under study, although complete solutions to this class of problems resort to the concept of set-valued forces [36, 12].”
Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints (2012, background): “Glocker [41] to comment; “With this friction law, one has chosen one of the most complicated force laws that occur in”
Director‐based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates (2014, background): “(7) Besides the virtual work principle, the law of interaction for internal forces has to be respected (cf. Section 2 of Glocker [16]), which coincides in its variational form with the ‘Axiom of Power of Internal Forces’ formulated by Germain [17].”