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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 272))

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Abstract

This chapter applies the formats of the generic balances to the spatial and material tangent, cotangent, and measure maps to formulate what, for the sake of semantic unification, may be called kinematical ‘balances’.

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References

  1. Bonet J, Gil AJ, Lee CH, Aguirre M, Ortigosa R (2015) A first order hyperbolic framework for large strain computational solid dynamics. Part i: total lagrangian isothermal elasticity. Comput Methods Appl Mech Eng 283:689–732

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  2. Bonet J, Lee CH, Gil AJ, Ghavamian A (2021) A first order hyperbolic framework for large strain computational solid dynamics. Part iii: thermo-elasticity. Comput Methods Appl Mech Eng 373:113505

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  3. Gil AJ, Lee CH, Bonet J, Ortigosa R (2016) A first order hyperbolic framework for large strain computational solid dynamics. Part ii: total lagrangian compressible, nearly incompressible and truly incompressible elasticity. Comput Methods Appl Mech Eng 300:146–181

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Correspondence to Paul Steinmann .

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Steinmann, P. (2022). Kinematical ‘Balances’*. In: Spatial and Material Forces in Nonlinear Continuum Mechanics. Solid Mechanics and Its Applications, vol 272. Springer, Cham. https://doi.org/10.1007/978-3-030-89070-4_6

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  • DOI: https://doi.org/10.1007/978-3-030-89070-4_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-89069-8

  • Online ISBN: 978-3-030-89070-4

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