Propagation and interaction of weakly nonlinear plane waves in transversely isotropic elastic materials
type: Item
instance of: scholarly article
title: Propagation and interaction of weakly nonlinear plane waves in transversely isotropic elastic materials
zbMATH Open document ID: 1497.35456
author: Yanyan Li
published in: Journal of Engineering Mathematics
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74J30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 7443357
zbMATH Keywords: hyperelasticity
zbMATH Keywords: quasilinear hyperbolic system
zbMATH Keywords: self-interaction coefficients
zbMATH Keywords: transverse isotropy
zbMATH Keywords: weakly nonlinear plane waves
MaRDI profile type: Publication
full work available at URL: s10665-021-10093-8
OpenAlex ID: W3134906642
cites work: Q3531334
cites work: Propagation and interaction of weakly nonlinear elastic plane waves in a cubic crystal
cites work: The complex Burgers equation as a model for collinear interactions of weakly nonlinear shear plane waves in anisotropic elastic materials
cites work: Q4655881
cites work: Q4039741
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: On Finite Element Implementation of Polyconvex Incompressible Hyperelasticity: Theory, Coding and Applications
cites work: Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
cites work: Wave propagation in transversely isotropic elastic media - I. Homogeneous plane waves
cites work: Modelling of elastic behaviour of soft tissues. I: Isotropy. II: Transverse isotropy
cites work: Q5649475
cites work: Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
cites work: Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids
cites work: Q3429109
DOI: 10.1007/S10665-021-10093-8
description: scientific article; zbMATH DE number 7443357