A plasticity model for unidirectional composite materials and its applications in modeling composites testing

Xie, Minzhu; Adams, Donald F.

doi:10.1016/0266-3538(95)00035-6

Cited by 62 publications

(20 citation statements)

References 14 publications

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“…Longitudinal to the fiber, FRP's show linear elastic behavior until failure [4,8]. In-plane shear and transverse stresses result in a nonlinear response.…”

Section: Multi-axial Stress Interactionmentioning

confidence: 99%

“…Due to a fixed specification of several yield parameters, only one parameter has to be provided. Similar to [8], a single effective stress-strain curve is proposed to assign the hardening behavior under various stress states. Sun [4] proposed a set of in-plane off-axis tests in order to define the hardening curve.…”

Section: Introductionmentioning

confidence: 99%

“…Hill proposed 3 uniaxial tension tests in the principal directions orthogonal to the planes of orthotropy and 3 pure shear tests in the planes of orthotropy. Xi [8] proposed a yield criterion based on a simplification of Hill's work related to FRP's. With the assumption of transverse isotropy and an assumed linear elastic behavior in fiber direction, the number of required parameters is reduced to two.…”

Section: Introductionmentioning

confidence: 99%

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Mechanism based nonlinear constitutive model for composite laminates subjected to large deformations

Mandel

Taubert

Hinterhölzl

2015

Composite Structures

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“…Longitudinal to the fiber, FRP's show linear elastic behavior until failure [4,8]. In-plane shear and transverse stresses result in a nonlinear response.…”

Section: Multi-axial Stress Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mechanism based nonlinear constitutive model for composite laminates subjected to large deformations

Mandel

Taubert

Hinterhölzl

2015

Composite Structures

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“…Other as Vyas et al [3] have tried more convincing 3D approaches that include the Raghava pressure-dependent plasticity function combined with a null flow rule component in the fibre direction. Such approach was previously proposed by Xie and Adams [4]. A more practical approach has been proposed by Puck in [5], where he basically scales the non-linear shear stress-strain curves according to his own physically-based two-dimensional inter fibre fracture criterion.…”

Section: Introductionmentioning

confidence: 99%

On the Rate-dependent Plasticity Modelling of Unidirectional Fibre-reinforced Polymeric Matrix Composites

et al. 2018

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Three different approaches to plasticity are investigated to model the experimentally-observed non-linear behaviour of unidirectional fibre-reinforced polymeric matrix materials. The first and simplest approach consists on assuming independent one-dimensional rate-dependent plasticity on in-plane (12) and through-thickness longitudinal (13) shear components of the Cauchy stress tensor. The second, employs a 3D extension of the plane stress Hill’48 anisotropic plastic surface. The third and the last is formulated as a quadratic yield function inspired by Puck’s fracture initiation criterion. It searches for a plastic localisation plane in which a certain combination of normal and shear stresses is maximum. Numerical simulations are conducted to analyse the off-axis compression behaviour of carbon fibre reinforced epoxy composite under varying loading rates. The afore-mentioned three different approaches are explored with an aim to predict the experimentally-observed non-linear response of such composites. The model parameters are determined using a deterministic inverse modelling strategy employing an iterative domain reduction optimisation technique. As far as the experiments are concerned, the quasi-static and medium rate tests were carried out in universal testing machines, while the experiments at high rate were conducted in a Split Hopkinson Pressure Bar system. The effectiveness in terms of accuracy and robustness of the three approaches are discussed.

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“…Xie and Adams [18] modified a quadratic yield criterion that does not consider hydrostatic pressure by imposing ∂f ∂σ 11 = 0, where 11 denotes the fibre direction, obtaining:…”

Section: Yield Criteria For Unidirectional Compositesmentioning

confidence: 99%

Constitutive modelling of fibre-reinforced composites with unidirectional plies using a plasticity-based approach

Vyas

Pinho

Robinson

2011

Composites Science and Technology

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Please cite this article as: Vyas, G.M., Pinho, S.T., Robinson, P., Constitutive modelling of fibre-reinforced composites with unidirectional plies using a plasticity-based approach, Composites Science and Technology (2011), doi: 10.1016/j.compscitech.2011 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.Constitutive modelling of fibre-reinforced composites with unidirectional plies using a plasticity-based approach AbstractThis paper presents the development of a constitutive model able to accurately represent the full non-linear mechanical response of polymer-matrix fibre-reinforced composites with unidirectional (UD) plies under quasi-static loading. This is achieved by utilising an elasto-plastic modelling framework. The model captures key features that are often neglected in constitutive modelling of UD composites, such as the effect of hydrostatic pressure on both the elastic and non-elastic material response, the effect of multiaxial loading and dependence of the yield stress on the applied pressure.The constitutive model includes a novel yield function which accurately represents the yielding of the matrix within a unidirectional fibre-reinforced composite by removing the dependence on the stress in the fibre direction. A non-associative flow rule is used to capture the pressure sensitivity of the material. The experimentally observed translation of subsequent yield surfaces is modelled using a non-linear kinematic hardening rule. Furthermore, evolution laws are proposed for the non-linear hardening that relate to the applied hydrostatic pressure. * Corresponding author Email address: gv04@imperial.ac.uk (G.M. Vyas) Preprint submitted to ElsevierMultiaxial test data is used to show that the model is able to predict the nonlinear response under complex loading combinations, given only the experimental response from two uniaxial tests.

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A plasticity model for unidirectional composite materials and its applications in modeling composites testing

Cited by 62 publications

References 14 publications

Mechanism based nonlinear constitutive model for composite laminates subjected to large deformations

Mechanism based nonlinear constitutive model for composite laminates subjected to large deformations

On the Rate-dependent Plasticity Modelling of Unidirectional Fibre-reinforced Polymeric Matrix Composites

Constitutive modelling of fibre-reinforced composites with unidirectional plies using a plasticity-based approach

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