Mathematical Colloquium

Friday, February 26, 2021, 2:30pm

Mechanics and Geometry of Enriched Continua

Luis Espath (Chair of Mathematics for Uncertainty Quantification - RWTH Aachen)

We propose a fluid flow and phase-field theory for enriched continua. To generalize the classical Navier–Stokes equation and the classical phase-field models, we derive a continuum gradient framework theory on balances of forces, microforces, torques, microtorques, and mass. We focus on materials where third gradients of the velocity and phase field describe long-range interactions. We explicitly account for the lack of smoothness along a curve on surfaces enclosing arbitrary parts and at a point on a curve. In these rough areas, tractions and microtractions appear. We begin our theory by characterizing these tractions together with the field equations. We also describe the underlying thermodynamics. Subject to thermodynamic constraints, we develop a general set of constitutive relations. A priori, the balance equations are general and independent of constitutive equations, where the thermodynamics constrain the constitutive relations through the free-energy imbalance. Last, we present suitable and thermodynamically consistent boundary conditions.

Die Vorträge finden aufgrund der Corona-Pandemie in diesem Semester über Zoom statt.

Dieser Vortrag findet am Freitag, den 26.02.21 um 14:30 Uhr statt.



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