Numerical analysis of effective mechanical properties of rubber-cord composites under finite strains

Левин, В. А.; Зингерман, К. М.; Вершинин, А. В.; Yakovlev, M. Ya.

doi:10.1016/j.compstruct.2015.04.037

Cited by 33 publications

(14 citation statements)

References 20 publications

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“…Advances in finite element method (FEM) and development of computers introduced FEA to tire design and the aforementioned theoretical knowledge was combined with numerical methods, as reviewed by Ridha [39,40]. More recent examples of the macromechanical approach to the modeling of tire reinforcements include the calculation of effective mechanical properties of rubber-cord composites performed by Levin [41].…”

Section: Approaches To Modeling Of Tire Reinforcementsmentioning

confidence: 99%

Performance evaluation of cord material models applied to structural analysis of tires

Korunović

Fragassa

Marinković

et al. 2019

Composite Structures

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Tires are, in essence, a composite structure made of reinforced elastomers. As in other composite structures, the accuracy of finite elements (FEs) in predicting the performance of a tire is highly dependent on the validity of the material models chosen to describe the mechanical behavior of its constituents. This paper concentrates on the material modeling of tire reinforcements, and analyzes several material models, namely linear, Yeoh and Marlow, which are quite common in these investigations. A realistic tire is considered as a general system and the most relevant results are discussed concerning precision, computational efficiency and complexity in parameters identification. The advantages of non-linear material models, especially of the Marlow model, are outlined. To the authors' knowledge, no study has addressed the abovementioned aspects of the application of tire cord models in FE analysis of tires in such detail or directly compared the performance of cord models in a realistic example.

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Section: Approaches To Modeling Of Tire Reinforcementsmentioning

confidence: 99%

Performance evaluation of cord material models applied to structural analysis of tires

Korunović

Fragassa

Marinković

et al. 2019

Composite Structures

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show abstract

“…The normal and shear forces and bending and twisting moments for the whole composite (equation (9)), acting in an arbitrary direction, are calculated as follows. For the interval perpendicular to the x axis, for example, the relevant components of the stress state are integrated through the thickness because of the extensivity of the Kirchhoff hypothesis to the whole body of an anisotropic medium.…”

Section: Basic Deformation and Power Characteristics Of Multilayer Comentioning

confidence: 99%

“…Levin et al. 9 developed a method and an algorithm to estimate the mechanical properties, finite strains, and compressibility of rubber-cord composites. Wang et al.…”

Section: Introductionmentioning

confidence: 99%

“…Lee et al 8 developed a new approach to predict the statistical distribution of the residual flexural strength of composite structures subjected to lowvelocity impact. Levin et al 9 developed a method and an algorithm to estimate the mechanical properties, finite strains, and compressibility of rubber-cord composites. Wang et al 10 proposed a hybrid boundary node method for the mechanical analysis of fiber-reinforced composites.…”

Section: Introductionmentioning

confidence: 99%

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Analytical model of the stress–strain state of multilayer composite plates under the influence of different load types with asymmetrical boundary conditions

Bitkina

Lee

Kang

et al. 2016

Journal of Composite Materials

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Composite structure design experience has demonstrated that use of the finite element method during the first stage of the design process is unfounded and that analytical methods to determine the stress–strain state are needed for more accurate calculations. Therefore, an analytical model of the stress–strain state of multilayer composite plates under the influence of temperature, technological, and power loads with different boundary conditions around four boundaries of a rectangular plate was developed. This model enables the solution of more than 240 different boundary value problems with a combination of the following boundary conditions: fixed, moving, hinged, and free edge. In the derivation of this mathematical analytic model, the Kirchhoff hypothesis was applied to the entire body of the anisotropic medium for the interconnected deflection and bending in the plate plane. The resulting equation is an octic linear partial differential equation to express the generalized function of movements.

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“…This work proposes an algorithm for construction of effective constitutive relations of composite materials in nonlinear elastic form under finite strains. An evaluation of the effective characteristics is discussed for two-dimensional case, which is a simplification as compared to the threedimensional case for which the algorithm is described in [19,20] in detail. Basic principles of this approach are as follows [21][22][23] (as for two-dimensional case).…”

Section: Introductionmentioning

confidence: 99%

Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case

Левин

Vdovichenko

Вершинин

et al. 2016

Modelling and Simulation in Engineering

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The paper describes an algorithm for numerical estimation of effective mechanical properties in two-dimensional case, considering finite strains. The algorithm is based on consecutive application of different boundary conditions to representative surface elements (RSEs) in terms of displacements, solution of elastic boundary value problem for each case, and averaging the stress field obtained. Effective properties are estimated as a quadratic dependence of the second Piola-Kirchhoff stress tensor upon the Green strain tensor. The results of numerical estimation of effective mechanical properties of plexiglas, reinforced with steel wire, are presented at finite strains. Numerical calculations were performed with the help of CAE Fidesys using the finite element method. The dependence of the effective properties of reinforced plexiglas upon the concentration of wires and the shape of wire cross section is investigated. In particular, it was found that the aspect ratio of reinforcing wire cross section has the most significant impact on effective moduli characterizing the material properties in the direction of larger side of the cross section. The obtained results allow one to estimate the influence of nonlinear effects upon the mechanical properties of the composite.

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Numerical analysis of effective mechanical properties of rubber-cord composites under finite strains

Cited by 33 publications

References 20 publications

Performance evaluation of cord material models applied to structural analysis of tires

Performance evaluation of cord material models applied to structural analysis of tires

Analytical model of the stress–strain state of multilayer composite plates under the influence of different load types with asymmetrical boundary conditions

Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case

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