Abstract

This paper is devoted to the application of unilateral models to the stress analysis of masonry structures. Some 2d applications of what we can call the simplified masonry-like model for masonry, are discussed and studied. The results here presented demonstrate that the unilateral model for masonry can be a useful tool for modeling real masonry structures. The main technique here employed for applying the No-Tension model to structures is the systematic use of singular stress and strain fields within the frame set by the theorems of Limit Analysis. A number of simple examples is discussed to illustrate the method.

Highlights

  • The present work is concerned with the application of the theorems of Limit Analysis to unilateral masonry-like structures

  • We focus on the static theorem, the main tool being represented in 2d by statically admissible singular stress fields, in the form of line Dirac deltas applied on material lines

  • The first tool that can be introduced for applying the unilateral No-Tension model to masonry structures is the systematic use of singular stress and strain fields, within the framework defined by the two theorems of Limit Analysis [16, 17]

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Summary

INTRODUCTION

The present work is concerned with the application of the theorems of Limit Analysis to unilateral masonry-like structures. We focus on the static theorem, the main tool being represented in 2d by statically admissible singular stress fields, in the form of line Dirac deltas applied on material lines. The support of these Dirac deltas can be interpreted an internal bars/arches. The first tool that can be introduced for applying the unilateral No-Tension model to masonry structures is the systematic use of singular stress and strain fields, within the framework defined by the two theorems of Limit Analysis [16, 17]. In the final section a number of simple examples are presented as illustration of the method

PRELIMINARIES ON SINGULAR STRESS AND STRAIN FIELDS
Load and Displacement Data
Singular Stress and Strain as Line Dirac Deltas
Constitutive Restrictions and Equilibrium Problem
Statically Admissible Stress Fields
Kinematically Admissible Displacement Fields
LIMIT ANALYSIS
Theorems of Limit Analysis
SIMPLE APPLICATIONS OF THE THEOREMS OF LIMIT ANALYSIS
CONCLUSION AND FUTURE WORK
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