Starting from the observation that the growth of a body breaks the time translation symmetry of the body’s dynamics, we determine a scalar field, called internal time, that defines an indicator of the intrinsic time scale of the growth-related body’s structural evolution. By recasting the theory of growth for monophasic media within a variational framework, we obtain the internal time as the solution of a partial differential equation descending from Noether’s Theorem. We do this by considering two approaches, one formulated in terms of internal variables and one adopting the concept of augmented kinematics.

Growth and remodelling from the perspective of Noether’s theorem / Grillo, Alfio; DI STEFANO, Salvatore; Federico, Salvatore. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 97:(2019), pp. 89-95. [10.1016/j.mechrescom.2019.04.012]

Growth and remodelling from the perspective of Noether’s theorem

Alfio Grillo;Salvatore Di Stefano;
2019

Abstract

Starting from the observation that the growth of a body breaks the time translation symmetry of the body’s dynamics, we determine a scalar field, called internal time, that defines an indicator of the intrinsic time scale of the growth-related body’s structural evolution. By recasting the theory of growth for monophasic media within a variational framework, we obtain the internal time as the solution of a partial differential equation descending from Noether’s Theorem. We do this by considering two approaches, one formulated in terms of internal variables and one adopting the concept of augmented kinematics.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2796562