Numerical implementation of two nonconforming finite element methods for unilateral contact
We consider the finite element approximation of the unilateral contact problem between elastic bodies. We are interested in a practical problem which often occurs in finite element computations concerning two independently discretized bodies in unilateral contact. It follows that the nodes of both b...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2000-01, Vol.184 (1), p.99-123 |
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| creator | Hild, Patrick |
| description | We consider the finite element approximation of the unilateral contact problem between elastic bodies. We are interested in a practical problem which often occurs in finite element computations concerning two independently discretized bodies in unilateral contact. It follows that the nodes of both bodies located on the contact surface do not fit together. We present two different approaches in order to define unilateral contact on nonmatching meshes. The first is an extension of the mortar finite element method to variational inequalities that defines the contact in a global way. On the contrary, the second one expresses local node-on-segment contact conditions. In both cases, the theoretical approximation properties are given. Then, we implement and compare the two methods. |
| doi_str_mv | 10.1016/S0045-7825(99)00096-1 |
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| ispartof | Computer methods in applied mechanics and engineering, 2000-01, Vol.184 (1), p.99-123 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Computational techniques Engineering Sciences Exact sciences and technology Finite-element and galerkin methods Fundamental areas of phenomenology (including applications) Global contact condition Local contact condition Mathematical methods in physics Mechanical contact (friction...) Mortar finite element method Nonmatching meshes Physics Solid mechanics Structural and continuum mechanics Unilateral contact |
| title | Numerical implementation of two nonconforming finite element methods for unilateral contact |
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