Equivalent boundary integral equations with indirect variables for plane elasticity problems. (English) Zbl 1145.74419
Summary: The exact form of the exterior problem for plane elasticity problems was produced and fully proved by the variational principle. Based on this, the equivalent boundary integral equations (EBIE) with direct variables, which are equivalent to the original boundary value problem, were deduced rigorously. The conventionally prevailing boundary integral equation with direct variables was discussed thoroughly by some examples and it is shown that the previous results are not EBIE.
MSC:
| 74S15 | Boundary element methods applied to problems in solid mechanics |
| 74B05 | Classical linear elasticity |
| 74K99 | Thin bodies, structures |
References:
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