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- W1988541166 abstract "The setting of 3D variational elasticity requires a regularity of the displacement field which is not sufficient to allow the definition of the displacement value along a line and a fortriori at a point. Therefore, prescribing displacements along lines and applying lineic forces result in ill-posed problems. In the same way, pointwise loads are ill-posed boundary conditions in the Reissner–Mindlin bending plate theory, but not in the Love–Kirchhoff one. The consequence on finite element simulations is immediate: the strain energy does not converge with mesh refinement for practical mesh sizes." @default.
- W1988541166 created "2016-06-24" @default.
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- W1988541166 date "2005-06-01" @default.
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- W1988541166 title "Ill-posed boundary conditions encountered in 3D and plate finite element simulations" @default.
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- W1988541166 doi "https://doi.org/10.1016/j.finel.2005.01.002" @default.
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