Gilles A. Francfort

Mechanics of Materials · 2000–2020

A researcher in the Science corpus: 9 papers; trusts 9 researchers and is trusted by 123 researchers here, as inferred from the citation graph.

Subfields

• Mechanics of Materials — 41 citations into it; #54 of 6,291 by trust here, #146 by citations
• Computational Theory and Mathematics — 25 citations into it; #1,125 of 12,182 by trust here, #1,463 by citations
• Computational Mechanics — 12 citations into it; #1,852 of 10,001 by trust here, #3,763 by citations
• Biomedical Engineering — 11 citations into it; #2,953 of 10,734 by trust here, #7,436 by citations
• Applied Mathematics — 9 citations into it; #1,632 of 7,620 by trust here, #2,377 by citations

Whom Gilles A. Francfort trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Gianni Dal Maso
2. Alexander Mielke
3. Antonin Chambolle
4. Blaise Bourdin
5. Rodica Toader
6. Luigi Ambrosio
7. J. Ball
8. Andreas Mainik
9. Christopher J. Larsen
10. Jean-Jacques Marigo

Who trusts Gilles A. Francfort overall

1. Gianni Dal Maso
2. Alexander Mielke
3. C. Miehé
4. Christopher J. Larsen
5. Thomas Wick
6. Blaise Bourdin
7. Alessandro Giacomini
8. Jean-Jacques Marigo
9. Antonin Chambolle
10. M. Hofacker

Papers from Gilles A. Francfort's perspective

Ordered by how strongly the researchers Gilles A. Francfort trusts endorse each paper. Same corpus, a different order for every researcher.

1. Existence and convergence for quasi‐static evolution in brittle fracture
2. Numerical experiments in revisited brittle fracture
3. A Density Result in Two-Dimensional Linearized Elasticity, and Applications
4. Quasistatic Crack Growth in Nonlinear Elasticity
5. Energetic formulation of multiplicative elasto-plasticity using dissipation distances
6. A theorem on geometric rigidity and the derivation of nonlinear plate theory from three‐dimensional elasticity
7. Functions of Bounded Variation and Free Discontinuity Problems
8. A Variational Formulation of¶Rate-Independent Phase Transformations¶Using an Extremum Principle
9. Geometric Measure Theory
10. Stability and Nonlinear Solid Mechanics

Their papers

• Existence results for a class of rate-independent material models with nonconvex elastic energies (2006) — 227 citations
• Existence and convergence for quasi‐static evolution in brittle fracture (2003) — 217 citations
• Quasistatic Crack Growth in Nonlinear Elasticity (2005) — 345 citations
• 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films (2000) — 153 citations
• Revisiting nucleation in the phase-field approach to brittle fracture (2020) — 229 citations
• Korn-Poincaré inequalities for functions with a small jump set (2016) — 60 citations
• When and how do cracks propagate? (2009) — 138 citations
• The Variational Approach to Fracture (2008) — 2,076 citations
• Numerical experiments in revisited brittle fracture (2000) — 2,607 citations