Abstract:
Standard higher order finite elements often perform unsatisfactory in contact problems. The major difficulties are caused by uneven distribution of nodal forces resulting in oscillating contact pressure. The paper presents a new approach that eliminates this drawback. The weight functions are chosen in such a way that even distributions of nodal forces are obtained. It is achieved by applying piece-wise linear weighting functions. Two new 3D isoparametric quadratic elements are derived: 6-node triangle and 8-node quadrilateral, and tested in many examples. The new elements have unsymmetric stiffness matrices, but the provided examples show their good performance in contact problems.
Keywords:
coontact problems, weighting functions, quadratic finite elements
Affiliations:
| Klisiński M. | - | IPPT PAN |
| Luo Ch. | - | other affiliation |
| Postek E. | - | IPPT PAN |
