most citedObjectivity in continuum mechanics, an introduction. Motions, Eulerian and Lagrangian variables and functions, deformation gradient, Lie derivatives, velocity-addition formula, Coriolis

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physics.class-ph2023★ 2 cited

Objectivity in continuum mechanics, an introduction. Motions, Eulerian and Lagrangian variables and functions, deformation gradient, Lie derivatives, velocity-addition formula, Coriolis

Gilles Leborgne

In classical mechanics, there are two objectivities: The ``isometric objectivity'' which concerns the constitutive laws of materials once expressed in a reference frame, and the ``…

physics.class-ph2022

Virtual Power Principle: A Lie Covariant Approach. Applications to Non-Linear Elasticity, Turbulence, Visco-elasticity

Gilles P. Leborgne

A covariant formulation of the virtual power principle based on Lie derivatives is proposed. The Lie covariant approach does not require an inner product and the Cauchy deformation…