Failure surface of quasi-periodic masonry by means of Statistically Equivalent Periodic Unit Cell approach

Failure surface of quasi-periodic masonry by means of Statistically Equivalent Periodic Unit Cell... In this paper a homogenization procedure for the estimation of the failure surface of a quasi-periodic masonry, based on a mean stresses approach through the analysis of the Statistically Equivalent Periodic Unit Cell (SEPUC), is shown. The mean stresses approach consists in the identification of critical states for the homogenized continuum by means of an overall failure criterion, function of the mean stress state of each constituent. These macroscopic tensors are evaluated in the elastic field. The SEPUC definition refers to a statistical criterion applied to a population of Periodic Unit Cells generated taking into account the geometrical features of the quasi-periodic texture; moreover it is validated on the basis of the homogenized elastic properties in terms of components and Frobenius norm of the elastic matrix. By a multi-objective optimization approach, the obtained results highlight that the proposed SEPUC can be used to estimate the failure surface. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Meccanica Springer Journals

Failure surface of quasi-periodic masonry by means of Statistically Equivalent Periodic Unit Cell approach

Failure surface of quasi-periodic masonry by means of Statistically Equivalent Periodic Unit Cell approach

Meccanica (2018) 53:1719–1736 https://doi.org/10.1007/s11012-017-0771-5 NEW TRENDS IN MECHANICS OF MASONRY Failure surface of quasi-periodic masonry by means of Statistically Equivalent Periodic Unit Cell approach . . N. Cavalagli F. Cluni V. Gusella Received: 16 January 2017 / Accepted: 2 October 2017 / Published online: 11 October 2017 Springer Science+Business Media B.V. 2017 Abstract In this paper a homogenization procedure Keywords Homogenization  Quasi-periodic for the estimation of the failure surface of a quasi- masonry  Statistically Equivalent Periodic Unit Cell periodic masonry, based on a mean stresses approach Failure surface through the analysis of the Statistically Equivalent Periodic Unit Cell (SEPUC), is shown. The mean stresses approach consists in the identification of critical states for the homogenized continuum by 1 Introduction means of an overall failure criterion, function of the mean stress state of each constituent. These macro- The mechanics of the masonry material is still today a scopic tensors are evaluated in the elastic field. The matter of great interest for the scientific community SEPUC definition refers to a statistical criterion due to both the complexity of the material behaviour applied to a population of Periodic Unit Cells gener- and the possibility to develop innovative strategies and ated taking into account the geometrical features of the approaches. In fact, the improvement of numerical quasi-periodic texture; moreover it is validated on the methods in the study of solids mechanics and the basis of the homogenized elastic properties in terms of increase of computational performances have components and Frobenius norm of the elastic matrix. favoured the development of advanced numerical By a multi-objective optimization approach, the strategies able to describe in a more comprehensive obtained results highlight that the proposed SEPUC way the behaviour of complex non-homogeneous can be used to estimate the...
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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media B.V.
Subject
Physics; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
ISSN
0025-6455
eISSN
1572-9648
D.O.I.
10.1007/s11012-017-0771-5
Publisher site
See Article on Publisher Site

Abstract

In this paper a homogenization procedure for the estimation of the failure surface of a quasi-periodic masonry, based on a mean stresses approach through the analysis of the Statistically Equivalent Periodic Unit Cell (SEPUC), is shown. The mean stresses approach consists in the identification of critical states for the homogenized continuum by means of an overall failure criterion, function of the mean stress state of each constituent. These macroscopic tensors are evaluated in the elastic field. The SEPUC definition refers to a statistical criterion applied to a population of Periodic Unit Cells generated taking into account the geometrical features of the quasi-periodic texture; moreover it is validated on the basis of the homogenized elastic properties in terms of components and Frobenius norm of the elastic matrix. By a multi-objective optimization approach, the obtained results highlight that the proposed SEPUC can be used to estimate the failure surface.

Journal

MeccanicaSpringer Journals

Published: Oct 11, 2017

References

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