Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations

By Ricardo A. Lebensohn, C. Tomé, Pedro Ponte Castañeda. 2007

317 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d714dc55f9832c152ee6bafadf1edf707e43b4d7

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. Javier Llorca
2. Marko Knezevic
3. C. Tomé
4. Javier Segurado
5. Ricardo A. Lebensohn
6. Frederic Barlat
7. A. Prakash
8. Carlos Gonz'alez

In Materials Chemistry

1. C. Tomé
2. Ricardo A. Lebensohn
3. Marko Knezevic
4. Rodney J. McCabe
5. Frederic Barlat
6. Javier Llorca
7. Javier Segurado
8. Irene J. Beyerlein

In Mechanics of Materials

1. Javier Llorca
2. C. Tomé
3. Ricardo A. Lebensohn
4. Javier Segurado
5. Frederic Barlat
6. Marko Knezevic
7. A. Prakash
8. Rodney J. McCabe

Citations in the corpus

• Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements (2012, background): “(18)), and the Eshelby tensor can be computed, with the viscoplastic tangent stiffness and the ellipsoidal shape of the SR grains (for details, see Lebensohn et al. (2007)).”
• Modeling mechanical response and texture evolution of α-uranium as a function of strain rate and temperature using polycrystal plasticity (2013, background): “: ð7Þ Here, ksub = 0.086 is an empirical parameter that recovers the Taylor law for low substructure dislocation densities (Madec et al., 2002).”
• Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms (2009, background): “…such as the n-site implementation (Ahzi 1987, Canova et al 1992, Solas and Tomé 2001), or a second-order extension (Ponte Castañeda 2002, Liu and Ponte Castañeda 2004, Lebensohn et al 2007) for a realistic prediction of the intragranular heterogeneity of the stress and strain fields.”
• A crystallographic dislocation model for describing hardening of polycrystals during strain path changes. Application to low carbon steels (2013, methodology): “A compreh ensive description can be found in Lebensohn et al. (2007).”
• Integration of self-consistent polycrystal plasticity with dislocation density based hardening laws within an implicit finite element framework: Application to low-symmetry metals (2013, methodology): “Therefore, each single crystal comprising the polycrystal undergoes rotation due to Wapp , in addition to a rotation due to the plastic spinW p and antisymmetric part of the Eshelby tensor Π (Lebensohn et al., 2007).”