A theory of subgrain dislocation structures

By Magdalena Ortiz, E. A. Repetto, Laurent Stainier. 2000

211 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c6d7bbe83adb7cd9db5a35495fcbbff612ef2d79

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Γ-limits and relaxations for rate-independent evolutionary problems (2008, background): “This topic is important for the understanding of evolution of microstructures in materials, see [4,9,19,24,28,35].”
A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids (2006, methodology): “For instance, time-discretization has been employed to formulate incremental minimum principles for plasticity that establish a connection between non-attainment and the formation of microstructures (Ortiz and Repetto, 1999; Ortiz et al., 2000; Carstensen et al., 2002; Aubry and Ortiz, 2003 ).”
a Phase-Field Theory of Dislocation Dynamics, Strain Hardening (2002, methodology): “However, the incremental variational framework developed in [Ortiz and Repetto (1999); Radovitzky and Ortiz (1999); Ortiz et al. (2000); Ortiz and Stainier (1999); Kane et al. (2000)] is general enough to enable consideration of more complex kinetic relations, e. g., accounting for the temperature…”
Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity (2001, background): “Non-local formulations, e.g. Aifantis (1984), Acharya and Bassani (2000), Fleck and Hutchinson (1993, 1994, 1997), Arsenlis and Parks (1999), Shu and Fleck (1999), Ortiz et al. (2000) and Gurtin (2000), include a material length scale, and thus permit size effects to be modeled.”
Micromechanical modeling of the elasto-viscoplastic behavior of semi-crystalline polymers (2003, methodology): “A similar deformation-gradient based framework for compatibility and averaging within two-phase laminates was used by Ortiz et al. (2000).”
Modeling Dislocations and Disclinations With Finite Micropolar Elastoplasticity (2006, background): “Ortiz and co-workers (Ortiz and Repetto, 1999; Ortiz et al., 2000) constructed a nonlocal lamination theory for modeling additional internal degrees of freedom associated with dislocation substructure, with kinetics dictated by minimization of the incremental work of deformation arising from a non-c”
Energetic formulation of multiplicative elasto-plasticity using dissipation distances (2003, methodology): “In this work we have established a mathematical basis for variational incremental methods used in finitestrain elasto-plasticity in [OS99,OR99, ORS00 ,HH01,ML01,MSL01].”
A dislocation density-based single crystal constitutive equation (2010, background): “Models based on statistical aspects of dislocation densities represented as internal state variables (Ortiz et al., 1999; Arsenlis and Parks, 2002) captured the orientation-dependent flow behavior of FCC single crystals.”
A finite-strain elastic–plastic Cosserat theory for polycrystals with grain rotations (2006, background): “There are two ways to proceed: either one starts from the better known single crystal case [19,97,98] and computes a large array of single crystals in mutual contact or one enriches the classical description with new variables taking account of the microstructural evolution and interaction in an ave”
Key computational modeling issues in Integrated Computational Materials Engineering (2013, background): “…with addressing certain scientific and technological ‘‘pressure points’’ as follows: • ICME extends beyond informatics and combinatorics pursued at the level of individual phases, addressing hierarchical microstructures/structures of materials and embracing the ‘‘systems’’ character of…”
Dislocation Microstructures and the Effective Behavior of Single Crystals (2005, methodology): “Following [42, 43], the dislocation core energy may be taken into account by means of a simple line-tension model.”