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2022 | OriginalPaper | Chapter

6. Kinematical ‘Balances’*

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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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Literature
1.
go back to reference 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 283:689–732MathSciNetCrossRef 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 283:689–732MathSciNetCrossRef
2.
go back to reference 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 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
3.
go back to reference 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 300:146–181MathSciNetCrossRef 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 300:146–181MathSciNetCrossRef
Metadata
Title
Kinematical ‘Balances’*
Author
Paul Steinmann
Copyright Year
2022
DOI
https://doi.org/10.1007/978-3-030-89070-4_6

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