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Validation of the Discrete Element Method for the Limit Stability Analysis of Masonry Arches

Validation of the Discrete Element Method for the Limit Stability Analysis of Masonry Arches

Haris Alexakis, Nicos Makris
Copyright: © 2016 |Pages: 34
ISBN13: 9781522502319|ISBN10: 1522502319|EISBN13: 9781522502326
DOI: 10.4018/978-1-5225-0231-9.ch012
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MLA

Alexakis, Haris, and Nicos Makris. "Validation of the Discrete Element Method for the Limit Stability Analysis of Masonry Arches." Computational Modeling of Masonry Structures Using the Discrete Element Method, edited by Vasilis Sarhosis, et al., IGI Global, 2016, pp. 292-325. https://doi.org/10.4018/978-1-5225-0231-9.ch012

APA

Alexakis, H. & Makris, N. (2016). Validation of the Discrete Element Method for the Limit Stability Analysis of Masonry Arches. In V. Sarhosis, K. Bagi, J. Lemos, & G. Milani (Eds.), Computational Modeling of Masonry Structures Using the Discrete Element Method (pp. 292-325). IGI Global. https://doi.org/10.4018/978-1-5225-0231-9.ch012

Chicago

Alexakis, Haris, and Nicos Makris. "Validation of the Discrete Element Method for the Limit Stability Analysis of Masonry Arches." In Computational Modeling of Masonry Structures Using the Discrete Element Method, edited by Vasilis Sarhosis, et al., 292-325. Hershey, PA: IGI Global, 2016. https://doi.org/10.4018/978-1-5225-0231-9.ch012

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Abstract

This chapter revisits the limit equilibrium analysis of masonry arches when subjected to gravity and lateral loads. Firstly, the major contributions during the last three centuries either with geometric or energy formulations are discussed, and subsequently, the performance of the Distinct Element Method (DEM) is examined against rigorous solutions. Analytical solutions with the use of energy methods are presented for the assessment of the stability of masonry arches with circular or elliptical shapes under various load conditions, including gravity, lateral inertial loading or earth pressures. The DEM is implemented in all loading cases and reproduces the analytical results with remarkable accuracy. The DEM is used either for a direct correlation with the classic limit analysis that assumes that the joints of the masonry blocks do not transmit tension, masonry blocks are rigid and incompressible and do not slide at the joints, or by permitting sliding with the adoption of Coulomb sliding failure between the joints.

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