BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:P. Podio-Guidugli / L. Truskinovsky (Roma Tor Vergata / ESPCI Pari s) DTSTART:20260413T140000Z DTEND:20260413T160000Z DTSTAMP:20260427T121927Z UID:NSCM/204 DESCRIPTION:Title: O n internal distance interactions in continuum physics/Generalized Clapeyro n's Theorem\nby P. Podio-Guidugli / L. Truskinovsky (Roma Tor Vergata / ESPCI Paris) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Institute of Mathematics\, CAS. Žitná 25\, Praha 2\, Blue Lectu re Hall.\n\nAbstract\nP. Podio-Guidugli: \nOn internal distance interactio ns in continuum physics (online)\n\nThe typical distance interactions a co ntinuum experiences are with agencies external to it. Today I shall offer a discussion of internal distance interactions\, based on ongoing work wit h Eliot Fried. Firstly\, I shall introduce the distance stress\, a symmetr ic tensor which is a continuum-mechanics counterpart\, similar to Cauchy s tress\, of the skew two-point force interactions usually considered in dis crete mechanics. Secondly\, I shall introduce the distance energy-flux\, a vector field similar to heat flux whose divergence equals the net distanc e-mediated energy-exchange input at a point.\n\nL. Truskinovsky: Generaliz ed Clapeyron's Theorem\n\n\nClapeyron’s Theorem in classical linear elas ticity provides a\nway to explicitly express\nthe energy stored in an equi librium configuration in terms of the work\nof the forces applied\non the boundary. We derive several new integral relations which can be\nviewed as nonlinear\nanalogs of this classical result\, reinterpreting them as rath er general\nstatements within Calculus of Variations. We also give dynam ical\ninterpretation for the apparently lost work.\n\nThis seminar is ded icated to the memory of Dr. Miroslav Šilhavý.\n\nNote the changes in the place\, time\, and the zoom link.\n LOCATION:https://researchseminars.org/talk/NSCM/204/ END:VEVENT END:VCALENDAR