文章基本信息

标题：Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting
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作者：Bolat Duissenbekov ; Abduhalyk Tokmuratov ; Nurlan Zhangabay 等
期刊名称：Curved and Layered Structures
电子版ISSN：2353-7396
出版年度：2020
卷号：7
期号：1
页码：48-55
DOI：10.1515/cls-2020-0005
出版社：Walter de Gruyter GmbH
摘要：The study solves a system of finite difference equations for flexible shallow concrete shells while taking into account the nonlinear deformations. All stiffness properties of the shell are taken as variables, i.e. , stiffness surface and through-thickness stiffness. Differential equations under consideration were evaluated in the form of algebraic equations with the finite element method. For a reinforced shell, a system of 98 equations on a 8×8 grid was established, which was next solved with the approximation method from the nonlinear plasticity theory. A test case involved computing a 1×1 shallow shell taking into account the nonlinear properties of concrete. With nonlinear equations for the concrete creep taken as constitutive, equations for the quasi-static shell motion under constant load were derived. The resultant equations were written in a differential form and the problem of solving these differential equations was then reduced to the solving of the Cauchy problem. The numerical solution to this problem allows describing the stress-strain state of the shell at each point of the shell grid within a specified time interval.
关键词：concrete shell ; differential equations ; nonlinear deformations ; finite difference ; concrete creep ; Cauchy problem