Nonclassical nonlinear elasticity of crystalline structures.
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DOI: 10.1103/physreve.104.045002
Abstract: Hysteretic elastic nonlinearity has been shown to result in a dynamic nonlinear response which deviates from the known classical nonlinear response; hence this phenomenon was termed nonclassical nonlinearity. Metallic structures, which typically exhibit weak nonlinearity,… read more here.
Keywords: nonlinear response; crystalline structures; nonclassical nonlinear; nonlinearity ... See more keywords
From force chains to nonclassical nonlinear dynamics in cemented granular materials.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.l022901
Abstract: In this letter, we present evidence for a mechanism responsible for the nonclassical nonlinear dynamics observed in many cemented granular materials that are generally classified as mesoscopic nonlinear elastic materials. We demonstrate numerically that force… read more here.
Keywords: cemented granular; granular materials; force chains; nonlinear dynamics ... See more keywords
Exact Solutions of a Nonclassical Nonlinear Equation of the Fourth Order
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DOI: 10.1134/s0001434619030222
Abstract: For a nonclassical nonlinear partial differential equation of the fourth order, ten families of exact solutions expressed in terms of elementary and special functions are constructed. These results are compared with previously obtained exact solutions… read more here.
Keywords: equation fourth; fourth order; exact solutions; nonclassical nonlinear ... See more keywords