Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy

By C. Miehé. 2003

308 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d84351ea1bbe218ec8150b59313d586320f18612

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. C. Bayreuther
2. Paul Steinmann
3. Ali Javili
4. Natarajan Sukumar
5. C. Britta Hirschberger
6. Sarah Ricker
7. G. Chatzigeorgiou
8. C. Miehé

In Mechanics of Materials

1. Paul Steinmann
2. C. Bayreuther
3. C. Miehé
4. Ali Javili
5. C. Britta Hirschberger
6. Natarajan Sukumar
7. Sarah Ricker
8. G. Chatzigeorgiou

Citations in the corpus

• On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers (2007, methodology): “Details of the formulation and numerical implementation based on the explicit consideration of a displacement fluctuation field are outlined in Miehe [15, 16] and Miehe et al. [17].”
• Computational multiscale modelling of heterogeneous material layers (2009, methodology): “The following canonical auxiliary relations [2, 21 ],”
• Computational homogenization in magneto-mechanics (2013, background): “…the mechanical response of composites considering finite strains (Hill, 1972; Nemat-Nasser, 1999; Miehe et al., 1999; Kouznetsova et al., 2002; Miehe, 2003; Costanzo et al., 2005; Hirschberger et al., 2008; Temizer and Wriggers, 2008; Ricker et al., 2010; McBride et al., 2012; Javili et al.,…”