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The Work to Change the Shape of the System

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Virtual Work and Shape Change in Solid Mechanics

Part of the book series: Springer Series in Solid and Structural Mechanics ((SSSSM,volume 7))

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Abstract

The work to change the shape of the system is a linear function of the virtual velocities of deformation. It defines the classical internal forces and internal torques and the internal percussions and internal percussion torques.

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References

  1. B. Nayroles, Point de vue algébrique. Convexité et intégrandes convexes en mécanique des solides, C.I.M.E., Bressanone, Ed. Cremonese (1973)

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  2. H. Attouch, G. Buttazzo, G. Michaille, Variational Analysis in Sobolev and BV Spaces: Application to PDE and Optimization, MPS/SIAM Series in Optimization (2004)

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  3. L. Ambrosio, N. Fusco, D. Pallara, Special functions of bounded variations and free discontinuity problems (Oxford University Press, Oxford, 2000)

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  4. A. Braides, Approximation of free-discontinuity problems (Springer Verlag, Berlin, 1998)

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Correspondence to Michel Frémond .

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Frémond, M. (2017). The Work to Change the Shape of the System. In: Virtual Work and Shape Change in Solid Mechanics. Springer Series in Solid and Structural Mechanics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-40682-4_7

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  • DOI: https://doi.org/10.1007/978-3-319-40682-4_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40681-7

  • Online ISBN: 978-3-319-40682-4

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