Graphical Representation of The Stress Field
See also: Stress fieldThe complete state of stress in a body at a particular deformed configuration, i.e., at a particular time during the motion of the body, implies knowing the six independent components of the stress tensor, or the three principal stresses, at each material point in the body at that time. However, numerical analysis and analytical methods allow only for the calculation of the stress tensor at a certain number of discrete material points. To graphically represent in two dimensions this partial picture of the stress field different sets of contour lines can be used:
- Isobars are curves along which the principal stress, e.g., is constant.
- Isochromatics are curves along which the maximum shear stress is constant. This curves are directly determined using photoelasticity methods.
- Isopachs are curves along which the mean normal stress is constant
- Isostatics or stress trajectories are a system of curves which are at each material point tangent to the principal axes of stress.
- Isoclinics are curves on which the principal axes make a constant angle with a given fixed reference direction. These curves can also be obtained directly by photoelasticity methods.
- Slip lines are curves on which the shear stress is a maximum.
Read more about this topic: Stress Analysis
Famous quotes containing the words stress and/or field:
“It is not stressful circumstances, as such, that do harm to children. Rather, it is the quality of their interpersonal relationships and their transactions with the wider social and material environment that lead to behavioral, emotional, and physical health problems. If stress matters, it is in terms of how it influences the relationships that are important to the child.”
—Felton Earls (20th century)
“The head must bow, and the back will have to bend,
Wherever the darkey may go;
A few more days, and the trouble all will end,
In the field where the sugar-canes grow.
A few more days for to tote the weary load,
No matter, t will never be light;
A few more days till we totter on the road:
Then my old Kentucky home, good-night!”
—Stephen Collins Foster (18261884)