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Sawtooth waves in solids with power law hysteretic nonlinearity

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Abstract This paper presents analytical results on the propagation of periodic sawtooth strain waves in solids with hysteretic nonlinearity characterized by a power law with an arbitrary exponent. Exact solutions… Click to show full abstract

Abstract This paper presents analytical results on the propagation of periodic sawtooth strain waves in solids with hysteretic nonlinearity characterized by a power law with an arbitrary exponent. Exact solutions for wave profiles are derived for 1D propagation in the case of integer power-law exponents. For fractional power-law exponents, numerical and approximate analytical solutions are obtained.

Keywords: power; waves solids; power law; hysteretic nonlinearity

Journal Title: Wave Motion
Year Published: 2019

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