Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation

By J. Merodio, Ray W. Ogden. 2003

186 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8721c2fd55ee9090e64c5408c8216435b9642361

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. V. Ebbing
2. Jörg Schröder
3. Patrizio Neff
4. Roger Bustamante
5. Waldemar Pompe
6. Ivan Giorgio
7. Dionisio Del Vescovo
8. Luca Placidi

In Civil and Structural Engineering

1. V. Ebbing
2. Antonio J. Gil
3. Jörg Schröder
4. Patrizio Neff
5. Roger Bustamante

In Mechanics of Materials

1. V. Ebbing
2. Jörg Schröder
3. Patrizio Neff
4. Ruben Sevilla
5. Roger Bustamante
6. Hui-hui Dai
7. Waldemar Pompe
8. Ivan Giorgio

Citations in the corpus

• Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors (2008, background): “Merodio and Ogden (2003) and Merodio and Neff (2006).”
• A unified approach for a posteriori high-order curved mesh generation using solid mechanics (2016, background): “[53] and [54], for an intensive study on the loss of ellipticity for this invariant.”
• Conditions for Strong Ellipticity of Anisotropic Elastic Materials (2009, background): “, in discussing uniqueness, wave propagation [6], instabilities due to the loss of ellipticity in nonlinear elasticity of fiberreinforced materials [8] and in the study of spatial behavior of the constrained anisotropic cylinders [2].”
• Transversely isotropic nonlinear magneto-active elastomers (2010, background): “3, we see that these materials possess characteristics that are similar in terms of mechanics to those of fibre-reinforced materials with two families of fibres [40,41].”