The scaled boundary finite element method for dispersive wave propagation in higher‐order continua

The classical theory of elasticity relies on the perfect structure of matter. No matter how small a medium is, it always stays homogeneous—but the reality is different. Even though the classical continuum mechanics suffices well for describing phenomena that evolve at super‐microscopic scales, it ce...

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Veröffentlicht in:	International journal for numerical methods in engineering 2023-02, Vol.124 (4), p.880-927
Hauptverfasser:	Daneshyar, Alireza, Sotoudeh, Payam, Ghaemian, Mohsen
Format:	Artikel
Sprache:	eng
Schlagworte:	acceleration gradient Constitutive equations Constitutive relationships Continuum mechanics Differential equations Elasticity Equations of motion Finite element analysis Finite element method Galerkin method gradient elasticity higher‐order continua Kinematics Numerical integration Numerical methods scaled boundary finite element method shooting technique Size effects Taylor series Wave dispersion Wave propagation
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