Istituto di Scienza e Tecnologie dell'Informazione     
Lucchesi M., Padovani C., Silhavy M. An energetic view on the limit analysis of normal bodies. In: Quarterly of Applied Mathematics, vol. 68 (4) pp. 713 - 746. American Mathematical Society, 2010.
The paper presents a limit analysis for normal materials based on energy minimization. The class of normal materials includes some of those used to model masonry structures, namely, no-tension materials and materials with bounded compressive strength; it also includes the Hencky plastic materials. We introduce a new definition of collapse for bodies made of normal materials and examine the validity of the static and kinematic theorems under our definition, with a particular attention to masonry materials.
URL: http://www.ams.org/journals/qam/2010-68-04/S0033-569X-2010-01182-2/home.html
Subject Collapse
Limit analysis
Minimum energy
J.2 Physical Sciences and Engineering
74H20 Existence of solutions
74H25 Uniqueness of solutions
74H35 Singularities, blowup, stress concentrations
74H40 Long-time behavior of solutions

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