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On Discontinuities of Material Momentum and Eshelby Stress in Hyperelasticity and Thermoelasticity
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.
On Discontinuities of Material Momentum and Eshelby Stress in Hyperelasticity and Thermoelasticity
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.
On Discontinuities of Material Momentum and Eshelby Stress in Hyperelasticity and Thermoelasticity
Braun, Manfred (author)
2009-01-01
10 pages
Article/Chapter (Book)
Electronic Resource
English
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