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Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview?

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Book cover Waves in Nonlinear Pre-Stressed Materials

Part of the book series: CISM Courses and Lectures ((CISM,volume 495))

Abstract

This Chapter presents a personal survey of some basic results about finite amplitude waves in nonlinear elasticity and related theories. For isotropic materials, general classes of solutions for the basic equations of wave propagation are obtained by reducing the equations of motion to a system of ordinary differential equations. When dispersive or dissipative effects are taken into account, solitary wave solutions are possible. The effects of a general homogeneous prestress on finite amplitude wave propagation are investigated for a large family of materials.

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Author information

Authors and Affiliations

  1. Sezione di Ingegneria Industriale, Dipartimento di Ingegneria dell’Innovazione, Università degli Studi del Salento, Lecce, Italy

    Giuseppe Saccomandi

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  1. Giuseppe Saccomandi
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Editors and Affiliations

  1. CNRS Paris, France

    Michel Destrade

  2. University of Lecce, Italy

    Giuseppe Saccomandi

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Dedicated with affection and esteem to Tommaso Ruggeri on the occasion of his 60th birthday.

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Saccomandi, G. (2007). Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview?. In: Destrade, M., Saccomandi, G. (eds) Waves in Nonlinear Pre-Stressed Materials. CISM Courses and Lectures, vol 495. Springer, Vienna. https://doi.org/10.1007/978-3-211-73572-5_5

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  • DOI: https://doi.org/10.1007/978-3-211-73572-5_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-73571-8

  • Online ISBN: 978-3-211-73572-5

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