Stress field in cylindrical coordinates

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The discussion centers on understanding stress fields in cylindrical coordinates, specifically the differences between σ_{rz} and σ_{\theta z}. In cylindrical coordinates, stresses are categorized into radial (r) and azimuthal (θ) directions. The hoop direction (θ) is perpendicular to the radial direction (r). The notation σxy indicates stress on the x plane acting in the y direction, where differing subscripts denote shear stress and identical subscripts indicate normal stress, which can be either tensile or compressive but not shear. This distinction is crucial for analyzing material behavior under various loading conditions.
leumas614
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Can anyone please explain the stress fields in cylindrical coordinates? What is the difference between \sigma_{rz} and \sigma_{\theta z}? What is the difference between stress in the r axis and stress in the \theta axis? Thanks
 
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In the polar directions, one deals with radial, r, and azimuthal (hoop), θ, directions/stresses/strains. The hoop direction is normal or perpendicular to the radial direction.

σxy, x refers to direction of surface normal on which force acts, and y refers to direction of force component, i.e. σxy = stress on x plane acting in y direction.

cf - http://www.efunda.com/formulae/solid_mechanics/mat_mechanics/stress.cfm

When the two subscripts are different, they refer to a shear stress. When the same, they refer to a normal force, which is purely tensile or compressive, but not shear.
 
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