Abstract

A research project on the deformation capacity of unreinforced masonry structures is underway at the Institute of Structural Engineering of ETH Zurich. The development of the basic building blocks for the displacement-based design of unreinforced masonry structures is the objective of the present research project, which should be seen as a first step in an initiative to investigate the limits of the deformation capacity of unreinforced masonry walls. This paper presents a summary review of previous experimental and analytical studies on the deformation capacity of unreinforced masonry walls subjected to in-plane loading. This review is the first phase of the aforementioned research program. A summary of 71 shear tests on unreinforced masonry walls is presented in the form of a database, along with the statistical analysis and discussion of the tests results. Furthermore, three different computational approaches for structural masonry, i.e. micro-modelling, macro-modelling and macro-element discretization, are discussed, and a review of macro-elements for the in-plane response of unreinforced masonry walls is presented. The reviewed models are discussed and a set of conclusions is given. Special attention is devoted to the deformation capacity parameter throughout the paper. Finally, the paper shows the limitations of our current state of knowledge of the deformation capacity of structural masonry.

Highlights

  • From 1991 till Carbon nanotubes (CNTs), discovered by Sumio Ijima, have huge amount of scientific research from numerous fields (i.e.; material science, mechanical science, chemistry, and physics sciences) and real applications (i.e.; nano-electronics, nano-switch, solar cell, medical tools, and nano-devices)

  • Gajbhiye and Singh (2015) proposed different techniques including a potential of Tersoff–Brenner to study the vibration behaviors of open-end and cappedend of SWCNTs

  • The current paper propose a modified continuum mechanics model with finite-element simulation to present the effects of vacancies on the vibration behaviors and modal participation factors of fixed–fixed SWNCT

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Summary

Introduction

From 1991 till Carbon nanotubes (CNTs), discovered by Sumio Ijima, have huge amount of scientific research from numerous fields (i.e.; material science, mechanical science, chemistry, and physics sciences) and real applications (i.e.; nano-electronics, nano-switch, solar cell, medical tools, and nano-devices). Gajbhiye and Singh (2015) proposed different techniques including a potential of Tersoff–Brenner to study the vibration behaviors of open-end and cappedend of SWCNTs. They considered tube as a thin and thick beam, and so, they modeled it by Euler–Bernoulli and Timoshenko theories. Zemri et al (2015) exploited nonlocal Eringen and higher order shear beam theory to study the mechanical behaviors of FG nanobeams. Bouafia et al (2017) examined the size and stretching effects on static transverse bending and flexural vibration of FG nonlocal nano-scale beams implemented by the quasi-3D shear theory. The current paper propose a modified continuum mechanics model with finite-element simulation to present the effects of vacancies on the vibration behaviors and modal participation factors of fixed–fixed SWNCT.

Geometrical structural of SWCNTs
Chemical energies vs mechanical energies
EA L and
Dimension modification
Numerical results
Effect of defect position of SWCNT
Hertz f
Mode Number
UX RY
Length effects on the defected SWCNT at the middle position
Conclusion
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