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Nonlinear Stability of Three-Layer Circular Shallow Arches with Elastic Interlayer Bonding

Christoph Adam

Universität Innsbruck, Unit of Applied Mechanics, Technikerstr. 13, 6020 Innsbruck, Austria

E-mail Address: christoph.adam@uibk.ac.at

Corresponding author.

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Ivan Paulmichl

Universität Innsbruck, Unit of Applied Mechanics, Technikerstr. 13, 6020 Innsbruck, Austria

E-mail Address: ivan.paulmichl@uibk.ac.at

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Thomas Furtmüller

Universität Innsbruck, Unit of Applied Mechanics, Technikerstr. 13, 6020 Innsbruck, Austria

E-mail Address: thomas.furtmueller@uibk.ac.at

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https://doi.org/10.1142/S0219455423400163Cited by:3 (Source: Crossref)

This article is part of the issue:

Special Issue on Structural Engineering Dedicated to the 70th Birthday of Professor Y. B. Yang
Guest Editors: Weiyong Wang, C. W. Lim and Jie Yang

Abstract

In this paper, stability-prone circular shallow arches composed of three symmetrically arranged flexibly bonded layers with fixed and hinged supports at both ends are examined. Based on the differential equations of equilibrium and a series expansion of the governing kinematic variables, analytical expressions for the limit points and bifurcation points are derived. Solutions for the nonlinear equilibrium path are also provided. Comparison with the results of much more complex numerical analyses with 2D finite continuum elements show high accuracy of these analytical expressions. The application examples indicate the importance of considering the flexibility of the interlayers in the stability analysis. With the assumption of a rigid bond between the layers, the stability limit is overestimated by up to 100% in the examples considered.

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