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Relations at Singular Surfaces

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 174))

Abstract

Up to now we considered the case when all functions appearing in the balance laws: ρ, u, v, T, F, fetc. are continuously differentiable functions of coordinates X i(or of x i) and time t. However, in practice one often meets with problems, where this condition is violated. For example, for the phenomena of impact, explosion, combustion etc., a part of the indicated functions in a domain Vconsidered can suffer a jump discontinuity across some surface

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Correspondence to Yuriy I. Dimitrienko .

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© 2011 Springer Science+Business Media B.V.

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Dimitrienko, Y.I. (2011). Relations at Singular Surfaces. In: Nonlinear Continuum Mechanics and Large Inelastic Deformations. Solid Mechanics and Its Applications, vol 174. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0034-5_5

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  • DOI: https://doi.org/10.1007/978-94-007-0034-5_5

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0033-8

  • Online ISBN: 978-94-007-0034-5

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