FROM SPECIAL BOUNDED DEFORMATION TO SPECIAL BOUNDED HESSIAN: THE ELASTIC–PLASTIC BEAM

Author:

PERCIVALE DANILO1,TOMARELLI FRANCO2

Affiliation:

1. Dipartimento di Ingegneria della Produzione, Università di Genova, Piazzale Kennedy, Fiera del Mare Padiglione D, Genova, Italia

2. Dipartimento di Matematica, Francesco Brioschi Politecnico, Piazza Leonardo da Vinci, 32-20133 Milano, Italia

Abstract

Slender beams with small cracks described by Γ limits: a description of an elastic-perfectly plastic beam or rod is obtained as a variational limit of 2D or 3D bodies with damage at small scale satisfying the Kirchhoff kinematic restriction on the deformations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Reference51 articles.

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1. Relaxation of functionals in the space of vector-valued functions of bounded Hessian;Calculus of Variations and Partial Differential Equations;2018-11-27

2. Smooth and Broken Minimizers of Some Free Discontinuity Problems;Springer INdAM Series;2017

3. Local and non-local energies in adhesive interaction;IMA Journal of Applied Mathematics;2016-09-30

4. Generalised functions of bounded deformation;Journal of the European Mathematical Society;2013

5. Adhesive flexible material structures;Discrete & Continuous Dynamical Systems - B;2012

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