Existence theorem for a first-order Koiter nonlinear shell model. (English) Zbl 1419.74165
Summary: We prove the existence of a minimizer for a nonlinearly elastic shell model which coincides to within the first order with respect to small thickness and change of metric and curvature energies with the Koiter nonlinear shell model.
MSC:
| 74K25 | Shells |
| 74B20 | Nonlinear elasticity |
| 74G65 | Energy minimization in equilibrium problems in solid mechanics |
| 74G25 | Global existence of solutions for equilibrium problems in solid mechanics (MSC2010) |
| 49J20 | Existence theories for optimal control problems involving partial differential equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
