a Phase-Field Theory of Dislocation Dynamics, Strain Hardening

By A. Cuitiño, M. Koslowski, Magdalena Ortiz, Laurent Stainier. 2002

201 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9487042ea8570ddb6dfa1c8c0f9fa4912cbac0bd

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. A. Roy
2. Giovanni Leoni
3. Marcello Ponsiglione
4. Zachary A. Wilson
5. Adriana Garroni
6. John D. Clayton
7. Jaroslaw Knap
8. Stefan Müller

In Mechanical Engineering

1. A. Roy
2. Stefan Müller
3. Amit Acharya
4. Adriana Garroni
5. Jaroslaw Knap
6. Zachary A. Wilson
7. Chad M. Landis
8. John D. Clayton

In Mechanics of Materials

1. Jaroslaw Knap
2. Zachary A. Wilson
3. A. Roy
4. Stefan Müller
5. Amit Acharya
6. Adriana Garroni
7. Giovanni Leoni
8. Chad M. Landis

Citations in the corpus

• Gradient theory for plasticity via homogenization of discrete dislocations (2008, methodology): “As for the study of dislocations, a similar analysis was done by Garroni and Focardi [11] starting from a phase field model introduced by Koslowski, Cuitiño and Ortiz [17] and inspired by the Peierls–Nabarro model (see also [12]).”
• Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I (2005, background): “en up (Acharya, 2004). This important issue is left unresolved in El-Azab (2005). A somewhat different approach to the study of plasticity at these scales, with impressive predictions, is the work of Koslowski et al. (2002), applied in Koslowski et al. (2004). The solution of problems involving boun”
• A Variational Model for Dislocations in the Line Tension Limit (2006, methodology): “to the energy (see Section 4.3 of [ 10 ], and the Appendix of [8] for further details).”
• Phase-field modeling of hydraulic fracture (2016, methodology): “The phase-field methodology has emerged as a powerful tool for modeling the evolution of microstructures and the interactions of defects in a wide range of materials and physical processes([54-58]).”
• A phase field model of deformation twinning: Nonlinear theory and numerical simulations (2011, methodology): “[27] formulated a phase field theory of dislocation mechanics incorporating a non-convex Peierls potential and energy minimization concepts.”