2019
DOI: 10.1088/1742-6596/1268/1/012018
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Mathematical modeling and numerical analysis of reinforced composite beams

Abstract: This paper is devoted to modeling the properties of composite materials and reinforced composite beams. Mathematical relations describing the nonlinear elastic three-point bending of isotropic and reinforced beams with account of different strength and stiffness behavior in tension and compression are obtained. An algorithm for numerical solution of corresponding boundary-value problems is proposed and implemented. Results of numerical analysis were compared to acquired data for polymer matrix and structural c… Show more

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Cited by 4 publications
(3 citation statements)
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“…Gonzalez introduced different mathematical models to detect nonlinear flexural deformation of CFRP based on stiffness level in compression and polymer matrices under different strength [ 101 ]. The study further presented modeling of different properties of fiber reinforced composite beams [ 102 ]. The proposed mathematical model described nonlinear elastic three-point bending of isotropic and reinforced beams under stiffness and strength levels.…”
Section: Classification Based On Textile Processesmentioning
confidence: 99%
“…Gonzalez introduced different mathematical models to detect nonlinear flexural deformation of CFRP based on stiffness level in compression and polymer matrices under different strength [ 101 ]. The study further presented modeling of different properties of fiber reinforced composite beams [ 102 ]. The proposed mathematical model described nonlinear elastic three-point bending of isotropic and reinforced beams under stiffness and strength levels.…”
Section: Classification Based On Textile Processesmentioning
confidence: 99%
“…The studies of various authors [11][12][13][14][15][16][17][18] also inquire into the stress-strain behavior of ice. At present, the use of ice-based composites becomes a necessity.…”
Section: Introductionmentioning
confidence: 99%
“…Various experimental methods [16], [17], [18], methods based on mathematical modelling [19] and methods based on the application of numerical solvers [13], [20], [21] are used to define such deformations. However, according to the authors' observations, the settings and results of different numerical solvers for the same or similar case may differ significantly from each other.…”
Section: Introductionmentioning
confidence: 99%