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Convergence of displacements and stresses in linearly elastic slender rods as the thickness goes to zero. (English) Zbl 0846.73025
Summary: We show the convergence in an appropriate sense of displacements and stresses in a linearly elastic slender rod when its thickness tends to zero. The limit displacements and stresses are determined by well-posed variational problems.

##### MSC:
 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 35Q72 Other PDE from mechanics (MSC2000)