| Xi | Lagrangian Cartesian Coordinates, i=1,2,3 |
| xi | Eulerian Cartesian Coordinates, i=1,2,3 |
| u | Displacement Field |
| lij | Lagrange Infinitesimal Strain Tensor |
| εij,ε | Eulerian Infinitesimal Strain Tensor |
| t | Stress Vector |
| σ | Cauchy Stress Tensor |
| τij | Shear Stress Components |
| F | Body Force |
| b | Force per Unit of Mass |
| ρ | Density of a Body |
| σmises | Von Mises Effective Stress |
| εe | Elastic Strain Tensor |
| ε p | Plastic Strain Tensor |
| C | Elasticity Tensor |
| M | Compliance Tensor |
| λ | Lame´ Constant |
| E | Young’s Modulus |
| ν | Poisson’s Ratio |
| μ | Shear Modulus |
| α | Coefficient of Thermal Expansion |
| δu | Virtual Displacement |
| δεij | Virtual Strain Components |
| pm | Pressure of an Indenter |
| Y | Uniaxial Compressive Yield Stress of a Sample |
| a | Contact Area between Indenter and Sample |
| E* | Reduced Modulus |
| R | Radius of an Indenter |
| P | Applied Load by Indenter |
| d | Penetration Depth in a Sample |
| Qp | Plastic Potential |
| I1 | First Invariant of Cauchy Stress Tensor |
| J2 | Second Invariant of Cauchy Stress Tensor |
| J3 | Third Invariant of Cauchy Stress Tensor |
 p | Plastic Strain Tensor Increment |
 pe | Effective Plastic Strain Rate |
| Fy | Yield Function |
| σys0 | Initial Yield Stress |
| ETiso | Isotropic Tangent Modulus |
| ZI | Westergaard Function |
| KI,KII,KIII | Stress Intensity Factors for mode I, II, and III, respectively |
| Φ | Airy Stress Function |
| ε | Bimaterial Constant |
| G | Energy Release Rate |
| Gc | Critical Energy Release Rate |
| Π | Total Potential Energy |
| U | Total Strain Energy |
| W | Strain Energy Density |
| V | Potential of External Force |
| γ | Fracture Surface Energy |
| J | J-Integral |