Existence of weak solutions in elasticity

Victor A. Eremeyev (1, 2, 3) , Leonid P. Lebedev (4)

1 Faculty of Mechanical Engineering
2 Department of Mathematics, Mechanics and Computer Science
3 Laboratory of Smart Materials
4 Departamento de Matematicas

Solvability and uniqueness of solutions to the problems of equilibrium, vibration and dynamics in a weak setup for classical and nonclassical models of linear elasticity are established in a unified framework sufficiently flexible to accommodate new elastic models.

Domaines: Mécanique [physics.med-ph]

Victor A. Eremeyev, Leonid P. Lebedev. Existence of weak solutions in elasticity. Mathematics and Mechanics of Solids, 2013, 18 (2), pp.204-217. ⟨hal-00831088⟩