Claudia Grabs (UP)
Following chapter 10 in the book "Theoretical Elasticity" of A.E. Green and W. Zerna from 1968, we present basic equations for elastic shells. Since the three-dimensional equations for an elastic shell are generally very complicated, the aim of shell theory is to reduce these equations to two-dimensional form and obtain equations for stress resultants and couples instead of actual stresses. When stress couples and shearing forces are neglected, the socalled membrane theory is obtained.