Computer Modeling of the Creep Process in Stiffened Shells

Karpov, Vladimir; Semenov, Alexey

doi:10.1007/978-3-030-19756-8_5

Cited by 3 publications

(3 citation statements)

References 14 publications

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“…Thus, the problem of determining the parameters of the quasistatic motion of a shallow concrete shell is come down to solving the Cauchy problem - (19)(20)(21), which can be implemented by the Runge -Kutta numerical method [30]. The initial conditions of the problem (at t = 0) are determined by solving the system (14,15) by the above method. At each step of integration over time -t k , we will obtain new values of W (t) and F (t) at each grid point.…”

Section: Resultsmentioning

confidence: 99%

“…Here, the coefficients c, e contains the stiffness and geometrical parameters of the shell. Equations similar to system (14,15) are written for all 49 grid points (Figure 2). Thus, a system of 98 algebraic equations for the functions F and W is obtained.…”

Section: Methodsmentioning

confidence: 99%

“…Such a solution has yielded nonlinear dependences of the load distribution of the four radii of curvature of curved shells, which are compared and verified using numerical solutions of finite elements. The use of nonlinear analysis in solving nonlinear equations is shown in [11][12][13][14][15][16] for various types of shells and loads.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting

Duissenbekov

Tokmuratov

Zhangabay

et al. 2020

Curved and Layered Structures

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AbstractThe 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.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting

Duissenbekov

Tokmuratov

Zhangabay

et al. 2020

Curved and Layered Structures

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Study of Deformation of Structural Elements as Result of Concrete Creep

Maslennikov

Panin

Semenov

et al. 2020

VIII International Scientific Siberian Transport Forum

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Investigation of differential shrinkage stresses in a revolution shell structure due to the evolving parameters of concrete

Merlin

Landry

Amba

et al. 2023

Curved and Layered Structures

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The article focuses on the influence of differential shrinkage linked by drying at the early-age displacements and strain distribution of a concrete ring specimen. Depending on the gradient of dimension changes through the thickness, tensile stress occurs near the exposed surface where drying is greater and thus results in strain gradients development. An experimental design was carried out on a concrete ring cast in laboratory conditions in order to monitor strains and displacements. Subsequently, a finite element method was used to simulate the ring’s behaviour in drying conditions. The gradient development linked by a non-uniform moisture distribution in the thickness is established by solving the non-linear partial differential drying equation with Mensi’s diffusion law. The stress and displacement analysis was modeled by three nodes curved shell FEM (CSFE-sh) based on strain approximation with the shell theory. Finally, the ring’s behaviour includes both differential shrinkage resulting in the mechanical and physical properties of gradients development in the thickness and the influence of prestressing, in which the tensile creep effects have a great influence. The comparison of experimental results with numerical simulation shows that drying and tensile creep phenomena have the most important influence on the early-age stress development in the walled ring.

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Computer Modeling of the Creep Process in Stiffened Shells

Cited by 3 publications

References 14 publications

Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting

Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting

Study of Deformation of Structural Elements as Result of Concrete Creep

Investigation of differential shrinkage stresses in a revolution shell structure due to the evolving parameters of concrete

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