The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A two‐phase model for compaction and damage: 1. General Theory
Open accessAbstract
A theoretical model for the dynamics of a simple two‐phase mixture is presented. A classical averaging approach combined with symmetry arguments is used to derive the mass, momentum, and energy equations for the mixture. The theory accounts for surficial energy at the interface and employs a nonequilibrium equation to relate the rate of work done by surface tension to the rates of both pressure work and viscous deformational work. The resulting equations provide a basic model for compaction with and without surface tension. Moreover, use of the full nonequilibrium surface energy relation allows for isotropic damage, i.e., creation of surface energy through void generation and growth (e.g., microcracking), and thus a continuum description of weakening and shear localization. Applications to compaction, damage, and shear localization are investigated in two companion papers.
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Citations
Cites
VI. The phenomena of rupture and flow in solids
Griffith, A. A. (1921) · Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character · doi:10.1098/rsta.1921.0006 · Cited by 11,052
Cited by
CEL-seq2: sensitive highly-multiplexed single-cell RNA-Seq
Hashimshony, T., Senderovich, N., Avital, G., Klochendler, A., de Leeuw, Y., Anavy, L., Gennert, D., Li, S., Livak, K. J., Rozenblatt-Rosen, O., et al. (2016) · Genome Biology · doi:10.1186/s13059-016-0938-8 · Cited by 1,125
The generation of plate tectonics from mantle convection
Bercovici, D. (2003) · Earth and Planetary Science Letters · doi:10.1016/s0012-821x(02)01009-9 · Cited by 372
Self-citationThe conditions for plate tectonics on super-Earths: Inferences from convection models with damage
Foley, B. J., Bercovici, D., & Landuyt, W. (2012) · Earth and Planetary Science Letters · doi:10.1016/j.epsl.2012.03.028 · Cited by 159
Self-citationInitiation of plate tectonics from post‐magma ocean thermochemical convection
Foley, B. J., Bercovici, D., & Elkins‐Tanton, L. T. (2014) · Journal of Geophysical Research: Solid Earth · doi:10.1002/2014jb011121 · Cited by 98
“…on grainsize reduction) that captures both dynamic lithospheric weakening and weak-zone memory (a feature that other mechanisms neglect) [e.g., Bercovici et al., 2001; Bercovici and Ricard, 2003, 2005, 2012, 2013, 2014], predicts that plate tectonics is favored for planets with cool climates,…”
BackgroundSelf-citationScaling laws for convection with temperature-dependent viscosity and grain-damage
Foley, B. J., & Bercovici, D. (2014) · Geophysical Journal International · doi:10.1093/gji/ggu275 · Cited by 38
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Metadata
- Authors
- Bercovici, D., Ricard, Y., & Schubert, G.
- Venue
- Journal of Geophysical Research: Solid Earth
- Publisher
- American Geophysical Union (AGU)
- Published
- 2001-05-10
- Volume
- 106
- Issue
- B5
- Pages
- 8887-8906
- ISSN
- 0148-0227 (ISSN-L)
- OpenAlex
- W2055954432
- Cited by
- 319
- References
- 1
- FWCI
- 17.55
- Type
- journal article
- Language
- en
- Open access
- bronze
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