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Table 1

Notation used throughout the paper for main mechanical quantities.

Tensor Total strain tensor
Tensor Plastic strain tensor
Scalar Damage variable
Tensor Rate of the total strain
Tensor Rate of the plastic strain
Tensor Stress tensor
Tensor Thermodynamical force associated with 
Scalar Thermodynamical force associated with α
Scalar Free energy per unit volume
Function Free energy state function
Set Linear set of 3 × 3 symmetrical matrices
Set Convex set of admissible 
Function Support function of the convex set 
Scalar Dissipated power by unit volume
Tensor Deviatoric part of the strain tensor
Scalar Transversal strain
Scalar Axial strain
Scalar Volumetric strain = trace of the strain tensor
Tensor Deviatoric part of the plastic strain tensor
Scalar Transversal plastic strain
Scalar Axial plastic strain
Scalar Trace of the plastic strain tensor
Tensor Deviatoric part of the stress tensor
Scalar Confining pressure
Scalar Axial stress
Scalar Mean stress = 

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