The Morera stress functions are defined by assuming that the Beltrami stress tensor tensor is restricted to be of the form
The solution to the elastostatic problem now consists of finding the three stress functions which give a stress tensor which obeys the Beltrami-Michell compatibility equations. Substituting the expressions for the stress into the Beltrami-Michell equations yields the expression of the elastostatic problem in terms of the stress functions:
Read more about this topic: Stress Functions
Famous quotes containing the words stress and/or functions:
“Like all weak men he laid an exaggerated stress on not changing ones mind.”
—W. Somerset Maugham (18741966)
“Mark the babe
Not long accustomed to this breathing world;
One that hath barely learned to shape a smile,
Though yet irrational of soul, to grasp
With tiny fingerto let fall a tear;
And, as the heavy cloud of sleep dissolves,
To stretch his limbs, bemocking, as might seem,
The outward functions of intelligent man.”
—William Wordsworth (17701850)