Quasi-orthotropic deformation theory of masonry plasticity in plane stress state
https://doi.org/10.37538/2224-9494-2024-4(43)-218-231
EDN: CYKUXR
Abstract
Introduction. The deformation theory of plasticity (deformation theory) can be widely applied in physically nonlinear calculations under simple or converging to simple loadings. In particular, for the analysis of the seismic resistance of masonry buildings, the deformation theory can be utilized within the framework of the nonlinear static method. Compared to flow type theories, deformation theories enable a greater number of failure mechanisms to be implemented by defining a complex combined strength figure of the material without encountering issues with singularities in the limiting loading surfaces.
Aim. To develop a variant of the deformation theory of plasticity for masonry in a plane stress state, taking into account the orthotropy of strength properties.
Materials and methods. The study involved an analysis of known deformation theories. The physical relationships were formulated in matrix form for use in computer calculations. The comparison of the mathematical model with experimental results was performed using regression analysis methods.
Results. A deformation theory for masonry is described as a quasi-orthotropic material without considering deformation anisotropy. The authors proposed a strength figure for masonry that accounts for the orthotropy of strength properties and depends on the angle between the principal axes and the axes of orthotropy. A methodology for transforming two basic deformation curves for masonry is outlined.
Conclusions. The presented quasi-orthotropic deformation model for masonry can be utilized in finite element analysis programs and in developing plugins for existing software systems, particularly for the SCAD Office software suite with a deformation plasticity theory model.
Keywords
masonry,
deformation theory of plasticity,
strength criterion,
deformation diagram,
orthotropy,
plane stress state
Supporting agencies: The study was carried out under a grant from the Government of the Nizhny Novgorod Region for young scientists provided in the form of a subsidy from the regional budget (Contract No. 316-06-16-13a/24).
About the Authors
M. L. Pozdeev
Nizhny Novgorod State University of Architecture and Civil Engineering; Automation of Design Works (SCAD Soft Group)
Russian Federation
Russian Federation
Maksim L. Pozdeev*, Postgraduate Student, Department of Theory of Structures and Technical Mechanics, Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod; Research Engineer, Automation of Design Work (SCAD Soft Group), Moscow
Ilyinskaya str, 65, Nizhny Novgorod, 603000, Russian Federation; Rubtsovskaya nab., 4, bld 1, room VII, Moscow, 105082, Russian Federation
e-mail: maksim.leon.pz@yandex.ru
S. Yu. Likhacheva
Nizhny Novgorod State University of Architecture and Civil Engineering
Russian Federation
Russian Federation
Svetlana Yu. Likhacheva, Cand. Sci. (Physics and Mathematics), Associate Professor, Professor of the Department of Theory of Structures and Technical Mechanics, Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod
Ilyinskaya str, 65, Nizhny Novgorod, 603000, Russian Federation
e-mail: lihsvetlana@yandex.ru
I. V. Smagin
Nizhny Novgorod State University of Architecture and Civil Engineering
Russian Federation
Russian Federation
Ilya V. Smagin, Postgraduate Student, Department of Theory of Structures and Technical Mechanics, Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod
Ilyinskaya str, 65, Nizhny Novgorod, 603000, Russian Federation
e-mail: ivsmag@vk.com
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Review
For citations:
Pozdeev M.L., Likhacheva S.Yu., Smagin I.V. Quasi-orthotropic deformation theory of masonry plasticity in plane stress state. Bulletin of Science and Research Center of Construction. 2024;43(4):218-231. (In Russ.) https://doi.org/10.37538/2224-9494-2024-4(43)-218-231. EDN: CYKUXR
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