Plastic continuum with microstructure, Local Second Gradient Theories for Geomaterials : Localization Studies

By R. Chambon, D. Caillerie, T. Matsuchima. 2001

195 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/be30274d698f2519625ed01ab49f8f26a9766b71

How researchers see this paper

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

In Materials Chemistry

1. S. Forest
2. V. monchiet
3. V. Kouznetsova
4. R. Sievert
5. T. Tran
6. Robert Charlier
7. Frédéric Collin
8. R. Chambon

In Mechanics of Materials

1. S. Forest
2. V. monchiet
3. V. Kouznetsova
4. R. Sievert
5. T. Tran
6. Robert Charlier
7. Frédéric Collin
8. R. Chambon

Citations in the corpus

• A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media (2012, background): “(T.-H. Tran), vincent.monchiet is-est.fr (G. Bonnet). and Grentzelou, 2006) or the localization phenomenon (see Triantafyllidis and Aifantis, 1986; Chambon et al., 2001; Engelen et al., 2006) for which very large values of strain gradient may occur.”
• Multi-scale micromorphic theory for hierarchical materials (2007, unknown): “These models were first considered by Chambon et al. (2001) for materials with a single microstructure.”
• Nonlinear microstrain theories (2006, background): “More recently, general elastoviscoplastic constitutive frameworks have been proposed for Cosserat and micromorphic media (Chambon et al., 2001; Forest and Sievert, 2003,).”
• A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models (2006, background): “[25, 35, 36] for geomaterials and by Fleck and Hutchinson [37] for metals.”
• Computational homogenization for the multi-scale analysis of multi-phase materials (2002, background): “Implementation of plane stress problems requires additional developments, since in this case gradients in the out-of-plane direction have to be taken into account (Chen et al. (2000)). Six two-dimensional isoparametric elements, which are sketched in Figure 4.1, have been developed and implemented. ”
• Elastoviscoplastic constitutive frameworks for generalized continua (2003, background): “Such extensions have been proposed in [36].”