A two‐phase model for compaction and damage: 1. General Theory

By D. Bercovici, Y. Ricard, Gerald Schubert. 2001

275 citations recorded by the source corpus.

Subfields: Computational Mechanics, Fluid Flow and Transfer Processes, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8623aff9d1074f2ab91153eeec10871dac60115f

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In Computational Mechanics

In Fluid Flow and Transfer Processes

In Mechanics of Materials

Citations in the corpus

A review of mechanical models of dike propagation: Schools of thought, results and future directions (2015, background): “These strengths and2255 weaknesses are reversed in the approach taken by Keller et al. (2013), who2256 extend the formulation of McKenzie (1984) and Bercovici et al. (2001) to2257 incorporate a visco-elasto-plastic rheology with an effective stress principle2258 (Terzaghi, 1943; Skempton, 1960).”
Energetics of a two-phase model of lithospheric damage, shear localization and plate-boundary formation (2003, methodology): “…and matrix deviatoric stresses are given by where j = f or m , and µ j is the true viscosity of phase j (i.e. the viscosity of the phase in its pure form); as discussed by Bercovici et al. (2001a) and Ricard et al. (2001), we do not explicitly employ the bulk viscosity proposed by McKenzie (1984).”
Magma Dynamics with the Enthalpy Method: Benchmark Solutions and Magmatic Focusing at Mid-ocean Ridges (2008, methodology): “It incorporates compaction stresses and employs a physically consistent bulk viscosity formulation that has a singularity for zero porosity (Batchelor, 1967; Schmelling, 2000; Bercovici et al., 2001; Hewitt & Fowler, 2008; Simpson, 2008).”
Numerical modelling of magma dynamics coupled to tectonic deformation of lithosphere and crust (2013, methodology): “The physics of two-phase flow in the context of geodynamics have been derived in various studies (e.g. Sleep 1974; McKenzie 1984; Fowler 1985; Scott & Stevenson 1986; Spiegelman 1993a,b; Bercovici et al. 2001a; Bercovici & Ricard 2003).”
Mechanisms for the generation of plate tectonics by two-phase grain-damage and pinning (2012, background): “Following the same arguments for determining the interface pressure P∗ as in Bercovici et al. (2001a) and Bercovici and Ricard (2003), and defining an effective internal pressure Πi = Pi + γiKi, equation (D.1) becomes 0 = − ∇(φiΠi) + ∇ · (φiτi) + ρiφig + c∆vi + (∑ j (1 − ω j)Π j ) ∇φi + ωi∇(γIα)…”
A thermodynamically self-consistent damage equation for grain size evolution during dynamic recrystallization (2011, background): “As advocated in a series of papers (Bercovici et al. 2001a,b; Bercovici & Ricard 2005; Ricard & Bercovici 2009), a reasonable and pragmatic choice is to introduce a partitioning function f̆ (R, τ ), with 0 ≤ f̆ (R, τ ) ≤ 1 so that C(R0) = R 2 0 3γ λ3 λ2 ∫ ∞ 0 f̆ τ̆ : ˙̆ v̆ν(R) dR. (22) The general…”
The Role of Volatiles in Reactive Melt Transport in the Asthenosphere (2015, background): “In the following we briefly present these equations; a more detailed derivation is found in Appendix A and, for example, the studies by McKenzie (1984), Bercovici et al. (2001) or Rudge et al. (2011).”
Stress‐driven melt segregation in partially molten rocks (2003, methodology): “In a recent formulation of compaction theory with damage mechanics [Bercovici et al., 2001a, 2001b], stress accelerates self-separation of phases by adding energy to the interfaces of two fluids.”