Nonlinear elastic beam theory with application in contact problems and variational approaches. (English) Zbl 0843.73042
By considering the stress in lateral direction, a nonlinear beam theory is developed for large displacement and small strain. Application to the unilateral problem with obstacle is illustrated, and a nonlinear complementarity problem is proposed. We prove that this nonlinear complementarity problem is equivalent to a variational inequality.
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74A55 | Theories of friction (tribology) |
| 74M15 | Contact in solid mechanics |
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74P10 | Optimization of other properties in solid mechanics |
