An example of a one-parameter family of rank-one convex stored energies for isotropic compressible solids
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Publication:287355
DOI10.1007/S10659-015-9559-9zbMath1337.35146OpenAlexW2290130609MaRDI QIDQ287355
S. Ndanou, Sarah Hank, Sergey L. Gavrilyuk
Publication date: 26 May 2016
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-015-9559-9
Classical linear elasticity (74B05) PDEs in connection with mechanics of deformable solids (35Q74) First-order hyperbolic equations (35L02)
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Cites Work
- Unnamed Item
- Unnamed Item
- Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation
- Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form
- A note on strong ellipticity in two-dimensional isotropic elasticity
- A simple derivation of necessary and sufficient conditions for the strong ellipticity of isotropic hyperelastic materials in plane strain
- Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.
- Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid
- Distortion of anisotropic hyperelastic solids under pure pressure loading: compressibility, incompressibility and near-incompressibility
- Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension
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