Worldlines and body points associated with an extensive property

Reuven Segev (1) , Guy Rodnay (1)

1 Department of Mechanical Engineering [Beer-Sheva]

Material structure of bodies that is usually assumed a-priory in continuum mechanics is constructed on the basis of a balance of a given extensive property on spacetime. Body points are identified with worldlines--the integral lines of the flux of the property. The geometric setting assumes that spacetime has only the structure of a differentiable manifold and no particular frame is assumed to be given.

Domaines: Mécanique [physics.med-ph]

Reuven Segev, Guy Rodnay. Worldlines and body points associated with an extensive property. International Journal of Non-Linear Mechanics, 2003, 38 (1), pp.1-9. ⟨hal-01060917⟩