Propagation of deformation waves in wool felt

Autor:	Anatoli Stulov, Dmitri Kartofelev
Rok vydání:	2014
Předmět:	Physics business.industry Wave propagation Mechanical Engineering Constitutive equation Computational Mechanics Mechanics Deformation (meteorology) Pulse (physics) Nonlinear system Optics Amplitude Solid mechanics Boundary value problem business
Zdroj:	Acta Mechanica. 225:3103-3113
ISSN:	1619-6937 0001-5970
DOI:	10.1007/s00707-014-1109-1
Popis:	The natural wool felt is becoming increasingly popular and important as a resource material in various applications. In this study, a constitutive equation that describes the deformation wave propagation in the felt material is derived using a hysteretic piano hammer model. A nonlinear partial differential equation with third-order terms that takes into account the elastic and hereditary properties of a microstructured felt is used to study a pulse propagation in the one-dimensional case. The boundary value problem is considered, and the numerical solution describing the strain wave propagation is provided. It is shown that the speed of a deformation wave increases with the growth of its amplitude. Also, the nonlinearity makes the front slope of a pulse steeper, which causes the eventual breaking of a pulse. The solution of the linear problem is analyzed, and the rate of the wave attenuation in the felt material is estimated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::092aa9344af550948c33aa126a29ced4 https://doi.org/10.1007/s00707-014-1109-1 Zobrazit plný text záznamu Plný text ve formátu PDF