Development of an elastoplastic model for porous rock

Shao, Jian‐Fu; Henry, J.P.

doi:10.1016/0749-6419(91)90002-g

Cited by 52 publications

(19 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The model is implemented into the Lagamine finite element code. A numerical test example for solving one-dimentional nonlinear consolidation shows a reasonable prediction, qualitatively representing the experimental observations during oedometer creep tests on chalk, [8]. The experience with the Lagamine FE code shows that the selection of the time step length is very important for the accuracy of the solution.…”

Section: Discussionmentioning

confidence: 98%

See 1 more Smart Citation

Constitutive Equations and Numerical Modelling of Time Effects in Soft Porous Rocks

Datcheva

Charlier

Collin

2001

Lecture Notes in Computer Science

View full text Add to dashboard Cite

Abstract. A constitutive model is developed within the framework of Perzyna's viscoplasticity for predicting the stress-strain-time behaviour of soft porous rocks. The model is based on the hyperelasticity and multisurface viscoplasticity with hardening. A time-stepping algorithm is presented for integrating the creep sensitive law. An example of application to one-dimensional consolidation is presented. The objectives are to: 1. present a soft rock model which is capable of taking into account the rate sensitivity, time effects and creep rupture; 2. to discuss the use of an incremental procedure for time stepping using large time increments and 3. to extend the finite element code Lagamine (MSM-ULg) for viscoplastic problems in geomechanics.

show abstract

Section: Discussionmentioning

confidence: 98%

“…Such a concept is based on the experimental observation for high porous rocks and for chalk especially (see [8]). Therefore:…”

Section: Application To the Soft Porous Rocksmentioning

confidence: 99%

Constitutive Equations and Numerical Modelling of Time Effects in Soft Porous Rocks

Datcheva

Charlier

Collin

2001

Lecture Notes in Computer Science

View full text Add to dashboard Cite

show abstract

“…Green (1972)'s criterion heuristically extends that of von Mises by including an influence of the first invariant of the stress in quadratic form, and represents the simplest envisageable criterion for porous solids with arbitrary porosity. It is applicable to highly porous metals such as foams, and also some very porous clays or chalks, see for instance Shao and Henry (1991) and Nadah et al (2013). (For low porosities it is surpassed by Gurson (1977)'s famous criterion based on detailed micromechanical analysis and homogenization).…”

Section: Introductionmentioning

confidence: 99%

Limit-analysis of a circular cylinder obeying the Green plasticity criterion and loaded in combined tension and torsion

Pindra¹,

Leblond²,

Kondo³

2018

Meccanica

View full text Add to dashboard Cite

. Limit-analysis of a circular cylinder obeying the Green plasticity criterion and loaded in combined tension and torsion. Meccanica, Springer Verlag, 2018, 53 (9) Abstract This short paper presents the limit-analysis of a cylinder with circular basis, made of an idealplastic material obeying Green's yield criterion and subjected to combined tension and torsion. The exact solution of the problem is provided in the form of a statically and plastically admissible stress field and a kinematically admissible velocity field, associated via the normality rule. The overall yield locus, that is the set of pairs [tension force, torsion torque] for which unrestrained plastic flow occurs, is expressed first in parametric form, then explicitly upon elimination of the parameter involved. The explicit expression of this yield locus also entails that of the overall flow rule via the overall normality property. The impact of these results is two-fold. First, they provide a fresh example of a solution to a limit-analysis problem exceptionally combining three generally mutually exclusive features: be non-trivial, exact and explicit. Second, they provide a way of using simple experiments of combined tension and torsion of cylinders to determine the parameter characterizing the influence of the mean stress in Green's criterion.

show abstract

“…In contrast to many other purely mechanical models used for rocks and geologic materials [24,25] the current model is a thermo-mechanical one. The Helmholtz free energy Ψ is chosen as a function of the variables J s , an invariant α 1 = B e • I of B e and temperature Θ:…”

Section: Constitutive Modeling Frameworkmentioning

confidence: 99%

Advanced discrete-continuum methods for dynamic loading of tunnels by ground shocks

Vorobiev¹

2013

View full text Add to dashboard Cite

Development of an elastoplastic model for porous rock

Cited by 52 publications

References 7 publications

Constitutive Equations and Numerical Modelling of Time Effects in Soft Porous Rocks

Constitutive Equations and Numerical Modelling of Time Effects in Soft Porous Rocks

Limit-analysis of a circular cylinder obeying the Green plasticity criterion and loaded in combined tension and torsion

Advanced discrete-continuum methods for dynamic loading of tunnels by ground shocks

Contact Info

Product

Resources

About