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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 503))

Abstract

A rather brief introduction to the non-linear theory of elasticity is given. In the presentation most of mechanical and mathematical concepts used are introduced from scratch.

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Bibliography

  • E. Acerbi and N. Fusco. Semicontinuity problems in the calculus of variations. Archive for Rational Mechanics and Analysis, 86:125–145, 1984.

    Article  MATH  MathSciNet  Google Scholar 

  • J. Ball. Convexity conditions and existence theorems in nonlinear elasticity. Archive for Rational Mechanics and Analysis, 63:337–403, 1977.

    Article  MATH  Google Scholar 

  • P.G. Ciarlet. Mathematical Elasticity. Volume I: Three-Dimensional Elasticity. North-Holland, 1988.

    Google Scholar 

  • B. Dacorogna and P. Marcellini. A counterexample in the vectorial calculus of variations. In Material instabilities in continuum mechanics, pages 77–83. CRC Press, 1988.

    Google Scholar 

  • L.C. Evans and R.F. Gariepy. Measure Theory and Fine Properties of Functions CRC Press, 1992.

    Google Scholar 

  • M.E. Gurtin. An Introduction to Continuum Mechanics. Academic Press, 1981.

    Google Scholar 

  • A. Morassi. Strain, stress and linearized elasticity. In A. Morassi and R. Paroni, editors, Classical and Advanced Theories of Thin Structures: Mechanical and Mathematical Aspects. Springer, 2008.

    Google Scholar 

  • C. Truesdell. A First Course in Continuum Rational Mechanics. Academic Press, 1991.

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© 2008 CISM, Udine

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Paroni, R. (2008). Constitutive equations and variational elasticity. In: Morassi, A., Paroni, R. (eds) Classical and Advanced Theories of Thin Structures. CISM International Centre for Mechanical Sciences, vol 503. Springer, Vienna. https://doi.org/10.1007/978-3-211-85430-3_2

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  • DOI: https://doi.org/10.1007/978-3-211-85430-3_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-85429-7

  • Online ISBN: 978-3-211-85430-3

  • eBook Packages: EngineeringEngineering (R0)

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