Nonlinear Elastic Beam Theory with Application in Contact Problems and Variational Approaches 1

@inproceedings{Gao1995NonlinearEB,
  title={Nonlinear Elastic Beam Theory with Application in Contact Problems and Variational Approaches 1},
  author={David Yang Gao},
  year={1995}
}
From the first equation we know that a : is a constant, so this beam model is actually a linear ordinary differential equation. If the beam is quite thick, the deformation in lateral direction can not be ignored. By considering the stress in lateral direction, a nonlinear beam theory is developed in this paper for large displacement and small strain elastic beam theory. Application to the unilateral problem with obstacle is illustrated and a nonlinear complementarity problem is proposed. We… CONTINUE READING