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tensor measure of internal forces that neighbouring particles of a continuum body exert on each other per unit area across which the force is applied.


SymbolDimensionSI unitsOil metric unitsOil field unitsAdditional

M L-1 T-2

Pa

kPa = 103 Pa = 0.145038 psi

MPa = 103 Pa = 145.038 psi

GPa = 106 Pa = 145,038 psi

psi = 6894.76 Pa = 6.89476 kPa

bar = 105 Pa = 100 kPa = 14.5038 psi

atm = 101,325 Pa = 101.325 kPa = 14.6959 psi


For a given surface element  with nor normal vector  the stress is represented by a vector , showing direction and the value of forces exerted across a given surface element : 



\begin{bmatrix}
    T_x     \\
    T_y     \\
    T_z    
\end{bmatrix} =
\begin{bmatrix}
    \sigma_x   & \tau_{xy} & \tau_{xz}   \\
    \tau_{xy}   & \sigma_y & \tau_{yz}   \\
    \tau_{xz}    & \tau_{yz} & \sigma_z 
\end{bmatrix}
\begin{bmatrix}
    n_x     \\
    n_y     \\
    n_z    
\end{bmatrix}

where

Normal stressShear stress



See also


Physics / Mechanics / Continuum mechanics 

Strain ]