Analysis of Linear Elastic Masonry-Like Solids Subjected to Settlements

Author:

Angjeliu Grigor1,Bruggi Matteo1,Taliercio Alberto1

Affiliation:

1. Politecnico di Milano

Abstract

A linear elastic no-tension material model is implemented in this contribution to cope with the analysis of masonry-like solids in case of either elastic or inelastic settlements. Instead of implementing an incremental non-linear approach, an energy-based method is adopted to address the elastic no-tension equilibrium. Under a prescribed set of compatible loads, and possible enforced displacements, a solution is found by distributing an equivalent orthotropic material having negligible stiffness in tension, such that the overall strain energy is minimized and the stress tensor is negative semi-definite all over the domain. A preliminary implementation of the proposed method is given by adopting a heuristic approach to turn the multi-constrained minimization problem into an unconstrained one. Numerical simulations focus on a wall with an opening subjected to either inelastic settlement or standing on elastic soil.

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

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3. P.B. Lourenço, in: Historical Constructions, edited by P.B. Lourenço P. Roca, Guimarã̃es, Portugal (2001).

4. E. Sacco, in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Vol. 3 (1990), pp.235-258.

5. M. Angelillo, L. Cardamone and F. Fortunato: J. Mech. Mater. Struct. Vol. 5 (2010), pp.583-615.

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