Elastic shells

15.12.2022, 16:00  –  Raum 1.10
Forschungsseminar Differentialgeometrie

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.