BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marco Amato (Faculty of Civil Engineering\, CTU) DTSTART:20250414T134000Z DTEND:20250414T151000Z DTSTAMP:20260405T175144Z UID:NSCM/176 DESCRIPTION:Title: E lastic solids under frictionless rigid contact and configurational force\nby Marco Amato (Faculty of Civil Engineering\, CTU) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Ma thematics and Physics\, Charles University\, Sokolovská 83 Prague 8..\n\ nAbstract\nA homogeneous elastic solid\, bounded by a flat surface in its unstressed configuration\, undergoes a finite\nstrain when in frictionless contact against a rigid and rectilinear constraint\, ending with a rounde d or sharp\ncorner\, in a two-dimensional formulation. With a strong analo gy to fracture mechanics\, it is shown that (i.) a\npath-independent J–i ntegral can be defined for frictionless contact problems\, (ii.) which is equal to the energy\nrelease rate G associated with an infinitesimal growt h in the size of the frictionless constraint\, and thus gives the\nvalue o f the configurational force component along the sliding direction. Further more\, it is found that (iii.) such a configurational sliding force is the Newtonian force component exerted by the elastic solid on the constraint at the frictionless contact. Assuming the kinematics of an Euler-Bernoulli rod for an elastic body of rectangularshape\, the results (i.)–(iii.) l ead to a new interpretation from a nonlinear solid mechanics perspective o f the\nconfigurational forces recently disclosed for one-dimensional struc tures of variable length. Finally\, approximate\nbut closed-form solutions (validated with finite element simulations) are exploited to provide furt her insight into\nthe effect of configurational forces. In particular\, tw o applications are presented which show that a transverse\ncompression can lead to Eulerian buckling or to longitudinal dynamic motion\, both realiz ing novel examples of\nsoft actuation mechanisms. As an application to bio logy\, our results may provide a mechanical explanation for\nthe observed phenomenon of negative durotaxis\, where cells migrate from stiffer to sof ter environments. Joint work with F. Dal Corso and D. Bigoni.\n\n[1] Franc esco Dal Corso\, Marco Amato\, and Davide Bigoni. “Elastic solids under frictionless rigid contact and\nconfigurational force”. In: Journal of t he Mechanics and Physics of Solids 188 (2024)\, p. 105673\n LOCATION:https://researchseminars.org/talk/NSCM/176/ END:VEVENT END:VCALENDAR