Stability conditions for the linearization of pure traction problems of finite elasticity.

Abstract: We discuss the linearization of finite elasticity by means of Gamma-convergence for the case of pure traction problems. For hyperelastic bodies subject to equilibrated force fields, the limit energy can be different from the global energy of linear elasticity subject to the same force field. However, under a suitable curl constraint, we show that the linear elastic equilibrium can be obtained as limit of local minimizers of finite elasticity. This is joint work with Roberto Ognibene and Danilo Percivale.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)