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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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
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