Nonlinear anisotropic elasticity for laminate composites

Ломакин, Е. В.; Fedulov, Boris

doi:10.1007/s11012-015-0104-5

Cited by 35 publications

(16 citation statements)

References 32 publications

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“…Nonlinear elastic model is based on the formulations described in [2]. Stress triaxiality parameter ξ is used to formalize stress state:…”

Section: Anisotropic Elastic Model Susceptible To Stress State and Nomentioning

confidence: 99%

“…Collecting experimental data for different values of ξ 0 , one can suppose a form of functional dependencies A i jkl (ξ ) for the best matching of loading diagrams. A detailed methodology is described in [2]. For the beginning, the cases of uniaxial tension, uniaxial compression and shear loading are considered due to a significant simplification of Eq.…”

Section: Anisotropic Elastic Model Susceptible To Stress State and Nomentioning

confidence: 99%

“…Consideration of variable elastic properties is essential for buckling and posbuckling analysis of thin-walled composite structures. Since classic elastic model is unable to capture these effects, a number of nonlinear material models were developed [2][3][4]. Considering model with variable elastic properties, it is important to satisfy fundamental principles of continuum mechanics, such B B. N. Fedulov kaf101@mai.ru 1 Department of Aircraft Engineering, Moscow Aviation Institute (National Research University), Volokolamskoe Road 4, Moscow, Russian Federation as existence of elastic potential and positive semi-definite of corresponding quadratic form.…”

Section: Introductionmentioning

confidence: 99%

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Effect of elastic properties dependence of the stress state in composite materials

Fedorenko

Fedulov

2018

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Buckling problem is quite important for the engineering practice, mostly in cases of lightweight structures. The use of composites reduces the weight of the structure but gives problems in choice of reliable methods to model buckling and postbuckling behavior of details, especially if they contain thin-walled components. One of the problems is the choice of correct elastic properties of composite material for analysis. Elastic characteristics of composite material depend on the type of loading and uniaxial tension/compression test results in some cases demonstrate an essential difference. The buckling analysis usually assumes compression of the structure and the choice of elastic constants obtained in compression tests leads to more accurate results, but does not guarantee a good correlation with experiments in case of postbuckling analysis due to ignoring some regions with tension stress state. A possible way of material stress-state sensitivity consideration is usage of material models that take into account stiffness susceptibility to different types of loading. Further development of nonlinear elastic model in problems related to buckling and postbuckling analysis for composite materials up to failure is the introduction of material progressive degradation model to consider material properties reduction due to damage in conjunction with nonlinear elasticity.

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“…Nonlinear elastic model is based on the formulations described in [2]. Stress triaxiality parameter ξ is used to formalize stress state:…”

Section: Anisotropic Elastic Model Susceptible To Stress State and Nomentioning

confidence: 99%

Section: Anisotropic Elastic Model Susceptible To Stress State and Nomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of elastic properties dependence of the stress state in composite materials

Fedorenko

Fedulov

2018

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“…Разномодульные среды занимают особое место в этом ряду, поскольку их нелинейность имеет практически сингулярный характер и проявляется уже на стадии упругого деформирования. В первую очередь это касается горных пород [1][2][3][4][5], всевозможных пористых и связных сыпучих сред [6][7][8], волокнистых и зернистых композитов [9][10][11][12], а также некоторых современных сплавов [13][14][15][16]. Распространенность и промышленная ценность таких материалов являются причиной активного экспериментального и теоретического изучения их физикомеханических свойств.…”

Section: Introductionunclassified

Nonstationary 1D Dynamics Problems for Heteromodular Elasticity with Piecewise-Linear Approximation of Boundary Conditions

Dudko

Lapteva

Ragozina

2019

PNRPU Mechanics Bulletin

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The paper provides the investigation of a heteromodular elastic medium under dynamic loading. The heteromodularity (when the stress - strain relation depends on the deformation direction) is a distinctive feature of many natural and structural materials: rocks, porous and cohesive bulk media, fibrous and granular composites, some metal alloys, etc. The fact that the listed materials show the heteromodular property at the stage of elastic deformation should be especially taken into account when solving problems of their shock dynamics. To describe the heteromodular behavior of an elastic medium in terms of small strains we use the physically nonlinear model of V.P. Myasnikov. The accepted assumption about the one-dimensional straining reduces the nonlinear relationship of stresses and small strains to piecewise linear equations. In the case of dynamic shock deformation, the initial nonlinearity of the model is concentrated in the equations which define the velocity of the shock wave abruptly transforming the heteromodular medium from a stretched to a compressed state. In this paper we investigate the processes of generation, motion, and possible interactions of plane one-dimensional deformation waves (including shock ones) in a heteromodular elastic half-space. The points of the half-space boundary undergo one-dimensional motions according to a given non-linear law corresponding to the “stretching-compression” mode. We suggest replacing the nonstationary boundary condition of the problem by its piecewise linear approximation and constructing a connected sequence of analytical solutions with a linear boundary condition at each local time interval. The proposed approach is the basis of the numerical solving algorithm for a boundary value problem with a given nonlinear condition. It is shown that the general solution behind the shock wave consists of several local layers, which number is related to the quantity of nodes in the piecewise linear decomposition of the boundary condition. In these layers, the compression deformation is defined by the relevant part of the boundary condition and simultaneously “stores” information on the preliminary tension, which should be considered an important feature of the heteromodular medium dynamics.

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“…The characteristics and properties of the composite depend on the choice of starting components and their alignment technology. When combining the reinforcing elements and the matrix, a new material is obtained with a set of properties that reflect not only the original characteristics of its components, but also new features that the individual components do not have [4,5]. This paper discusses woven laminates.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of deformation and failure of orthotropic composite materials

Bayandin¹,

Panteleev²,

Zhitnikova³

et al. 2016

AIP Conference Proceedings

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This paper presents experimental and theoretical study of the mechanical and strength properties of orthotropic composite materials. The anisotropy of a composite material is caused by its manufacturing method. Fiberglass composites based on epoxy resins (laminates) are investigated. The material is considered to be orthotropic, and the orthotropy axes coincide with the characteristic lines of fiber stacking. The aim is to develop a mathematical model of deformation and fracture of composite materials under quasi-static and dynamic loadings. The developed mathematical model is adapted to the Abaqus finite-element simulation software, which allows numerical simulation based on the original constitutive relations of an orthotropic medium taking into account the accumulation of damage. The paper compares experimental results and numerical simulation for flat specimens of an orthotropic composite material in the case of uniaxial deformation. Adequate results on the modeling of deformation and fracture of orthotropic composite materials are obtained.

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Nonlinear anisotropic elasticity for laminate composites

Cited by 35 publications

References 32 publications

Effect of elastic properties dependence of the stress state in composite materials

Effect of elastic properties dependence of the stress state in composite materials

Nonstationary 1D Dynamics Problems for Heteromodular Elasticity with Piecewise-Linear Approximation of Boundary Conditions

Numerical simulation of deformation and failure of orthotropic composite materials

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