Communication Dans Un Congrès Année : 2025

A unifying perspective on defect evolution in light of configurational mechanics

Résumé

In this contribution, we develop a theoretical study of defect propagation in solid media, in which a unifying approach to the onset and evolution of both topological and material defective phenomena is addressed. We recall that, in the field of Continuum Mechanics, we speak of “defect” to denote both alterations in the topology of a material—such as crack advancement or rotation and changes in the volume of inclusions or voids [1]—and inhomogeneities, i.e., spatial changes in the material properties of a medium. [2, 3]. The kinematic behavior of defects is specified by assigning their specific mode of propagation and, based on the principles of Eshelbian (Configurational) Mechanics [2, 3], we compute the energy release rate, or driving force, associated with their advancement. Furthermore, we recognise the individual contributions of this force, categorizing them into mechanical, topological, and those arising from material inhomogeneities [2, 3]. To better illustrate the application of our modelling framework, we review some classical examples of defect mechanics taken from the existing literature, integrating them into our approach [4]. Finally, we compare our findings with results obtained from variational methods grounded in conservation laws [1, 5]. [1] Knowles J. K., Sternberg, E.: On a class of conservation laws in linearized and487finite elastostatics. Arch. Rat. Mech. Anal. 44(3):187–211 (1972) [2] Maugin G. A. Configurational Forces. Thermomechanics, Physics, Mathematics, and Numerics CRC Press. (2016) [3] Gurtin M. E.: Configurational forces as basic concepts of continuum physics. Vol. 137.493. Springer Science & Business Media (1999). [4] Di Stefano S., Binetti C., Puglisi G., Giordano S.: A unified Eshelby-like approach to defect propagation. In preparation. [5] Podio-Guidugli P.: Configurational balances via variational arguments. Interface Free Bound 3, 323–332. (2001)

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hal-05106127 , version 1 (10-06-2025)

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  • HAL Id : hal-05106127 , version 1

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Salvatore Di Stefano, Claudia Binetti, Giuseppe Puglisi, Stefano Giordano. A unifying perspective on defect evolution in light of configurational mechanics. WASCOM 2025 XXIII International Conference on Waves and Stability in Continuous Media, Jun 2025, Parma (IT), Italy. ⟨hal-05106127⟩
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