Nonlinear Stress-Strain Response of Laminated Composites

Amijima, Sadao; Adachi, Tsuneyuki

doi:10.1177/002199837901300303

Cited by 40 publications

(15 citation statements)

References 4 publications

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“…The fundamental strengths FL, FL', FT, FT and FLT in Equations (8) and (9) are the random variables with the distribution functions determined experimentally. In accordance with the flow chart as explained in Figure 3, the statistical initial failure strengths are determined by generating a large number of Weibull random variables.…”

Section: Stress Analysis By Piecewise Linear Methodsmentioning

confidence: 99%

“…Tennyson et al [4] indicated that the experimental burst strengths could be explained more exactly by a phenomenological criterion including the cubic terms rather than by the TsaiWu criterion [5] including only the linear and quadratic terms. However, the nonlinearity of shear behavior which had an appreciable effect on the ultimate strength of laminates [6][7][8][9][10] was not taken into account in their analyses.…”

mentioning

confidence: 99%

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Probabilistic Burst Strength of Filament-Wound Cylinders Under Internal Pressure

Uemura

Fukunaga

1981

Journal of Composite Materials

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This paper presents an analytical approach for predicting the probabilistic ultimate strength after initial failure of the carbon fiber helical-wound cylinders under internal pressure.First, the initial failure strength distribution is analysed according to the maximum stress and the Tsai-Wu criteria, based on the scatter of basic data of unidirectional composites. The analysis is performed by using the piecewise linar method, taking account of the nonlinear shear stress-strain relation.

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Section: Stress Analysis By Piecewise Linear Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

Probabilistic Burst Strength of Filament-Wound Cylinders Under Internal Pressure

Uemura

Fukunaga

1981

Journal of Composite Materials

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“…The nonlinear elastic stress-strain relationship is formulated on the basis of the model originally proposed by Hahn and Tsai [8], and later adopted by others [9][10][11][12][13][14], to describe the stress-strain curve at room temperature. The Hahn-Tsai model was extended recently by Ha and Springer [15][16][17] to include elevated temperatures.…”

Section: Nonlinearly Elastic Unidirectional Pliesmentioning

confidence: 99%

“…Within each segment the strain DE&dquo;e is taken to vary linearly with stress Aui, and the stress-strain relationship is written as Equations (4), (6), (7), (11), (20), and (21) comprise the nonlinearly elastic stress-strain model. A manner in which this model can be used to calculate stresses and strains in multidirectional laminates is described in Section 4.…”

Section: Nonlinearly Elastic Unidirectional Pliesmentioning

confidence: 99%

Time Dependent Behavior of Laminated Composites at Elevated Temperatures

Springer

1989

Journal of Composite Materials

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Models are presented for describing the time dependent viscoelastic and viscoplastic stress-strain relationships of unidirectional fiber reinforced thermoset matrix composites exposed to elevated temperatures. For Fiberite T300/976 graphite-epoxy composite the constants in the stress-strain relationships were determined from data obtained in four point bend tests over the range 75 to 350°F. A procedure is also described which, together with the stress-strain models developed in this study, can be used to calculate the stresses and strains in loaded multidirectional laminates at high temperatures. Strains in loaded multidirectional Fiberite T300/976 laminates were measured as a function of time at temperatures varying from 75 to 350°F. Strains calculated by the models were compared to these data, and good agreements were found between the analytical and experimental results.

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“…Since this is often the case when the composite is subject to general multi-axial stress states, different approaches were proposed to overcome this difficulty, Jones and Morgan (1977), Abu-Farsakh (1989). Amijima and Adachi (1979) introduced a simple technique to represent the shear nonlinearity using piecewise linear segments. Sandhu (1976) introduced a technique for solution of the nonlinear laminate equations using piecewise cubic spline functions to represent the lamina uniaxial test data.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear constitutive models for pultruded FRP composites

Haj-Ali

Kılıç

2003

Mechanics of Materials

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Three nonlinear multi-axial constitutive models for pultruded fiber reinforced plastic composites are proposed and examined in this study. The first two are macromechanical models that idealize the entire composite material as homogeneous orthotropic under plane stress conditions. The third is a new three-dimensional (3D) micromechanical model where the fiber and matrix responses are explicitly recognized and the nonlinear behavior is expressed at the matrix level. The pultruded composite material system considered in this study consists of two alternating layers of roving and continuous filament mat. The two layers have E-glass/vinylester fiber/matrix constituents. Coupon tests were performed for calibration and verification of the proposed models. Nonlinear response is calibrated using V-notch tests, to generate the axial-shear stress-strain, and uniaxial transverse tests. Off-axis coupons were cut with different roving orientations in order to generate in-plane multi-axial stress states. The nonlinear axial stress-strain curves of the off-axis tests are compared with the predicted curves from the three proposed models. Good agreement is shown for all off-axis angles when comparing the experimental stress-strain curves with those predicted by the 3D micromodel. The nonlinear curves predicted by the two nonlinear orthotropic models are also in good agreement with the experimental results but not for all off-axis orientations. All three models can be easily integrated within a finite element code for the general nonlinear analysis of pultruded composite structures using layered shell or 3D type elements.

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Nonlinear Stress-Strain Response of Laminated Composites

Cited by 40 publications

References 4 publications

Probabilistic Burst Strength of Filament-Wound Cylinders Under Internal Pressure

Probabilistic Burst Strength of Filament-Wound Cylinders Under Internal Pressure

Time Dependent Behavior of Laminated Composites at Elevated Temperatures

Nonlinear constitutive models for pultruded FRP composites

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