Constitutive Equations and Numerical Modelling of Time Effects in Soft Porous Rocks
نویسندگان
چکیده
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.
منابع مشابه
Viscoplastic Modelling of Unsaturated Geomaterials
In this paper a rate dependent model for unsaturated geomaterials is presented. The formulation and numerical predictions are compared with available experimental results and discussed. The constitutive laws for the description of the time-dependent mechanical behaviour of saturated and unsaturated geomaterials generalize the isotach approach to the elastoplastic strain hardening based constitu...
متن کاملNumerical modelling of double-diffusive natural convection within an arc shaped enclosure filled with a porous medium
Numerical study of double-diffusive natural convective heat transfer in a curved cavity filledwith a porous medium has been carried out in the current study. Polar system has beenselected as coordinate system. As a result, all equations have been discredited in r and θdirections. Brinkmann extended Darcy model has been utilized to express fluid flow inporous matrix in the enclosure. Smaller and...
متن کاملExtraction of Nonlinear Thermo-Electroelastic Equations for High Frequency Vibrations of Piezoelectric Resonators with Initial Static Biases
In this paper, the general case of an anisotropic thermo-electro elastic body subjected to static biasing fields is considered. The biasing fields may be introduced by heat flux, body forces, external surface tractions, and electric fields. By introducing proper thermodynamic functions and employing variational principle for a thermo-electro elastic body, the nonlinear constitutive relations an...
متن کاملNumerical Modelling of Porous Radiant Burners Using Full and Reduced Kinetics Mechanisms
The present paper compares full kinetics mechanisms in numerical modelling of porous radiant burners (PRB), with their reduced forms. The two most frequently used mechanisms of methane combustion (GRI3.0 and Miller) were selected and their effects were examined on temperature, species concentration, burning speed, and pollutant emission. While the findings of numerical simulation of PRB sho...
متن کاملMagnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium
The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux consti...
متن کامل