Convergence of displacements and stresses in linearly elastic slender rods as the thickness goes to zero

Abstract

367 Le Dret, H., Convergence of displacements and stresses in linearly elastic slender rods as the thickness goes to zero, Asymptotic Analysis 10 (1995) 367-402. 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.