================================================================================
Nomenclature
================================================================================

.. list-table::
	:header-rows: 1
	:align: center
	:widths: auto

	* - Subscript
	  - Description
	* - :math:`\text{l}`
	  - Fully annealed material
	* - :math:`\theta`
	  - Angular direction in cylindrical coordinates
	* - :math:`\theta,\text{o}`
	  - Initial, reference
	* - :math:`\text{c}`
	  - Cladding
	* - :math:`\text{ci}`
	  - Cladding inner radius
	* - :math:`\text{e}`
	  - Equivalent
	* - :math:`\text{f}`
	  - Fuel
	* - :math:`\text{f}`
	  - Failure
	* - :math:`\text{fo}`
	  - Fuel out radius
	* - :math:`\text{g}`
	  - Gas
	* - :math:`\text{gb}`
	  - Grain boundary
	* - :math:`\text{i}`
	  - Time step index
	* - :math:`\text{i}`
	  - Radial element index
	* - :math:`\text{I, II}`
	  - Element types
	* - :math:`\text{j}`
	  - Axial segment index
	* - :math:`\text{m}`
	  - Mean, average
	* - :math:`\text{n}`
	  - Iteration index
	* - :math:`\text{N}`
	  - Iteration index
	* - :math:`\text{Na}`
	  - Sodium
	* - :math:`\text{pu}`
	  - True plastic (strain)
	* - :math:`\text{r}`
	  - Radial direction in cylindrical coordinates
	* - :math:`\text{r}`
	  - Rupture
	* - :math:`\text{s}`
	  - Saturation
	* - :math:`\text{th}`
	  - Threshold
	* - :math:`\text{u}`
	  - True/ultimate (stress)
	* - :math:`\text{z}`
	  - Axial direction in cylindrical coordinates
	* - **Superscript**
	  - **Description**
	* - :math:`\theta`
	  - Thermal (strain)
	* - :math:`a`
	  - Apparent (strain)
	* - :math:`c`
	  - Crack (strain)
	* - :math:`C`
	  - Cavity
	* - :math:`e`
	  - Elastic (strain)
	* - :math:`ext`
	  - External loads
	* - :math:`G`
	  - Fuel-cladding gap
	* - :math:`i`
	  - Iteration counter
	* - :math:`int`
	  - Internal stress field
	* - :math:`IGL`
	  - Ideal gas law
	* - :math:`MECH`
	  - Mechanical analysis
	* - :math:`p`
	  - Plastic (strain)
	* - :math:`ps`
	  - Pseudo (stress)
	* - :math:`P`
	  - Plenum
	* - :math:`ref`
	  - Reference
	* - :math:`s`
	  - Swelling (strain)
	* - :math:`t`
	  - Total (strain)
	* - :math:`T`
	  - Total
	* - **Notation**
	  - **Description**
	* - ¯ (overline)
	  - Equivalent
	* - \_ (underline)
	  - Indicates a vector
	* - • (dot)
	  - Indicates derivative with respect to time
	* - ˆ (hat)
	  - Indicates a unit vector
	* - [ ]
	  - Indicates a matrix
	* - {}\ :sup:`T`
	  - Transpose of a vector
	* - :math:`\nabla`
	  - Gradient
	* - **Symbol**
	  - **Description**
	* - :math:`\alpha`
	  - Thermal expansion coefficient
	* - :math:`\delta`
	  - Nodal displacement
	* - :math:`\Delta L/L_{0}`
	  - Linear thermal expansion
	* - :math:`\Delta t`
	  - Time step size
	* - :math:`\varepsilon`
	  - Strain
	* - :math:`\hat{\varepsilon}`
	  - Cladding hardness parameter
	* - :math:`\phi`
	  - Overpressure in grain boundary bubble growth model
	* - :math:`\phi`
	  - Finite element displacement function
	* - :math:`\gamma`
	  - Specific surface free energy in surface tension restraint term
	* - :math:`\nu`
	  - Poisson's ratio
	* - :math:`\Omega`
	  - Atomic volume in grain boundary bubble growth model
	* - :math:`\psi`
	  - Constant in finite element displacement function in axial direction
	* - :math:`\rho`
	  - Radius of curvature in surface tension restraint term
	* - :math:`\rho`
	  - Density
	* - :math:`\sigma`
	  - Stress
	* - :math:`\theta`
	  - Intersection angle between the bubble surface and grain boundary
	* - :math:`\theta`
	  - Initial hardening rate
	* - :math:`a`
	  - Finite element inner radius
	* - :math:`A`
	  - Area of intersection between the finite elements
	* - :math:`b`
	  - Finite element outer radius
	* - :math:`B`
	  - Matrix in equilibrium equation
	* - :math:`C`
	  - Curve bounding A
	* - :math:`C`
	  - Matrix in generalized Hooke's law
	* - :math:`C`
	  - Material functions in secondary creep equation
	* - :math:`\text{d}\varepsilon`
	  - Incremental strain
	* - :math:`\text{d}\lambda`
	  - Proportionality factor for plastic strain increments
	* - :math:`\text{d}\sigma`
	  - Incremental stress
	* - :math:`\text{dp}`
	  - Pressure increment
	* - :math:`D`
	  - Grain size
	* - :math:`D`
	  - Diffusion coefficient in grain boundary bubble growth model
	* - :math:`E`
	  - Young's modulus
	* - :math:`F`
	  - Constitutive function for plastic strains
	* - :math:`F`
	  - Force
	* - :math:`F`
	  - Axial force
	* - :math:`\dot{F}`
	  - Fission rate
	* - :math:`G`
	  - Constitutive function for swelling strains
	* - :math:`G`
	  - Shear modulus
	* - :math:`\hat{i}`
	  - Unit vector in coordinate directions
	* - :math:`K`
	  - Stiffness matrix
	* - :math:`K`
	  - Bulk modulus
	* - :math:`L`
	  - Finite element radial thickness
	* - :math:`M`
	  - Rate sensitivity parameter in cladding yield and saturation flow stresses
	* - :math:`M`
	  - Mass
	* - :math:`\dot{M}`
	  - Eutectic penetration rate
	* - :math:`\hat{n}`
	  - Outward normal to the finite element surface, S
	* - :math:`N`
	  - Finite element shape function
	* - :math:`N`
	  - Number density of gas bubbles in grain boundary bubble growth model
	* - :math:`P`
	  - Pressure
	* - :math:`Q`
	  - Activation energy in secondary creep equation
	* - :math:`Q`
	  - Thermal modulus
	* - :math:`R`
	  - Residual in iterative solution of equilibrium equations
	* - :math:`R`
	  - Radius
	* - :math:`R`
	  - Gas constant
	* - :math:`S`
	  - Deviatoric stress
	* - :math:`S`
	  - Surface area of finite element
	* - :math:`T`
	  - Time
	* - :math:`T`
	  - Elements of load vector in equilibrium equation expressing external forces
	* - :math:`T`
	  - Temperature
	* - :math:`U`
	  - Displacement in radial coordinate direction
	* - :math:`V`
	  - Displacement in θ coordinate direction
	* - :math:`V`
	  - Volume of finite element
	* - :math:`W`
	  - Grain boundary thickness
	* - :math:`W`
	  - Displacement in axial coordinate direction
	* - :math:`W`
	  - Gradient vector for plastic strain increments
	* - :math:`Z`
	  - Zener-Holloman parameter