Abstract
The balance of material momentum is applied to a propagating singular surface at which velocity and displacement gradient are discontinuous. The resulting jump condition contains an additional source term if the material is assumed purely hyperelastic. In a thermoelastic material, this imbalance is compensated by an ap-propriate jump of entropy such that, under adiabatic conditions, the strict balance is retained even on a singular surface.
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Braun, M. (2009). On Discontinuities of Material Momentum and Eshelby Stress in Hyperelasticity and Thermoelasticity. In: Steinmann, P. (eds) IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics. IUTAM Bookseries, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3447-2_1
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DOI: https://doi.org/10.1007/978-90-481-3447-2_1
Publisher Name: Springer, Dordrecht
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