Nonlinear Response of Resin Matrix Laminates Using Endochronic Theory

Mathison, Steven; Pindera, Marek‐Jerzy; Herakovich, Carl T.

doi:10.1115/1.2904125

Cited by 15 publications

(4 citation statements)

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“…For θ = 0, 5, 60 and 90°, however, it is almost linear up to ultimate failure. These linear and nonlinear responses are similar to those reported by Awerbuch and Hahn [7] and Mathison et al [33] for unidirectional polymer matrix composites at RT.…”

Section: Off-axis Static Behavior At Rt and 100°csupporting

confidence: 89%

Off-Axis Fatigue Behavior of Unidirectional Carbon Fiber-Reinforced Composites at Room and High Temperatures

Kawai

Yajima²,

Hachinohe³

et al. 2001

Journal of Composite Materials

138

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High-temperature off-axis fatigue behavior of unidirectional T800H/Epoxy composite has been studied. Effects of different temperature on off-axis fatigue strength are also discussed. Tension-tension fatigue tests are performed at room temperature and 100°C, respectively, on six kinds of off-axis plain coupon specimen. The absolute off-axis fatigue strengths are significantly reduced as the test temperature becomes higher. Irrespective of test temperature, almost linear S-N relationships are obtained for all off-axis angles over the range of fatigue life up to 106 cycles. Normalizing the maximum fatigue stress with respect to the static tensile strength at test temperature, the fatigue data for all off-axis angles eventually fall on a single S-N relationship. It is shown that a theoretical fatigue strength ratio can be defined as a non-dimensional effective stress based on the classical static failure theory and it succeeds in coping with the directional nature of off-axis fatigue strength. A fatigue damage mechanics model is developed using the non-dimensional effective stress, and its capability to describe the off-axis S-N relationship for the unidirectional T800H/Epoxy is demonstrated. Comparisons with the classical fatigue failure models for composites are also presented.

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Section: Off-axis Static Behavior At Rt and 100°csupporting

confidence: 89%

Off-Axis Fatigue Behavior of Unidirectional Carbon Fiber-Reinforced Composites at Room and High Temperatures

Kawai

Yajima²,

Hachinohe³

et al. 2001

Journal of Composite Materials

138

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“…While this type of damage approach is limited by the periodicity of both damage and heterogeneous microstructure, however, it offers an effective mean to introduce complicated inelastic effects that otherwise will be difficult to formulate at the homogenized anisotropic level. Mathison et al (1991) developed a plane-stress nonlinear constitutive model using orthotropic endochronic theory based on irreversible thermodynamics with internal variables. Several different approaches have been proposed to describe the composite stiffness degradation due to a given pre-existing state of matrix cracks.…”

Section: Introductionmentioning

confidence: 99%

Cohesive Micromechanics: A New Approach for Progressive Damage Modeling in Laminated Composites

Haj-Ali

2008

International Journal of Damage Mechanics

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A new cohesive micromechanical modeling framework is presented for the progressive damage analysis of laminated composite materials and structures. The cohesive micromechanics (CM) modeling approach is based on simplified 3D unit cell with incremental and damage formulations. The unidirectional CM model formulated in this paper is implemented in a local—global nonlinear damage modeling framework that recognizes the fiber and matrix constituents along with the cohesive interface/interphase subcells at the lower level. The cohesive elements are embedded between the fiber—fiber, fiber—matrix, and matrix—matrix subcells. Separate tension and compression traction-separation constitutive relations are used for the cohesive subcells in order to degrade the traction and internal resisting force across the plane between the two adjacent constituents. As a result, progressive damage modeling in the structural level can be achieved at the micromechanical level while maintaining the full advantage of using concurrent nonlinear micromechanical modeling prior and during damage progression spanning the entire structure. The proposed CM damage framework allows nonlinear anisotropic response, including strain softening, and damaged elastic loading/unloading behavior. Robust and efficient numerical stress correction algorithms have been also developed in order to satisfy the local traction continuity and strain compatibility of the micromechanical model. The effectiveness of the proposed modeling approach is demonstrated by predicting the response of composite plates with an open hole under tension and compression loading using available test results from the literature.

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“…Kuppuswamy et al [26] used the Richard and Abbott [27] representation for the modified Ramberg-Osgood relations to describe nonlinear orthotropic behavior of composites; however, the uniaxial stress-strain relations were uncoupled. Pindera and Herakovich [28] and Mathison et al [29] derived a nonlinear plane stress constitutive model using orthotropic endochronic theory. The stress tensor at an instant of deformation, as formulated with endochronic theory, is a function of the parameter describing the history of deformation.…”

mentioning

confidence: 99%

Mechanical behavior of jute hybrid bio-composites

Johnson

Kang

Akil

2016

Composites Part B: Engineering

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Hybrid bio-composites are environmentally friendly and can provide a sustainable alternative to existing engineering materials in several applications. While these hybrid composites have relatively low modulus, their material consistency lend them to be used in many structural applications. Many low modulus natural fibers exhibit nonlinear axial stress strain relations. Orthotropic material nonlinearity is typically analyzed for composites in the transverse and shear directions, and very few computational models consider axial nonlinearity. In this manuscript two new macro and one micromechanical constitutive models are developed to characterize the nonlinear orthotropic behavior of these material systems in the axial, transverse and shear directions. These models are then implemented within finite element (FE) code. A hybrid bio-composite in the form of pultruded layers manufactured with jute bio-fibers, combined with unidirectional roving E-glass, and embedded in a polymeric matrix was chosen for this study. Stress strain curves are generated for these dually reinforced systems in transverse, axial and shear modes to calibrate the nonlinear parameters for computational models. Photomicroscopy was also used to characterize the microsctructure to calibrate the micromechanical constitutive model. All three models are then validated under a multi-axial state of stress by full-field stress/strain analysis via Digital Image Correlation (DIC) and Thermoelastic Stress Analysis (TSA) of open-hole specimens. The results show that all of the models match the full-field TSA and DIC results under a multi-axial state of stress; however, the Anisotropic Potential Theory (APT) model based on the work of Hahn Tsai showed more response at stress concentrations than the Anisotropoic Deformation Theory (ADT) model based on the work of Hashin. Differences may have resulted from the correction scheme inplemented in the APT model. Also the Nine-Cell micromechanical model in this study based on the work of Haj-Ali et al was developed for comparison with the APT and ADT macromodels. The macromodels and micromodels presented here were implemented in ABAQUS user material subroutines, and are beneficial for analysis and design of structures with soft fiber constituents that have a nonlinear axial response.

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Nonlinear Response of Resin Matrix Laminates Using Endochronic Theory

Cited by 15 publications

References 0 publications

Off-Axis Fatigue Behavior of Unidirectional Carbon Fiber-Reinforced Composites at Room and High Temperatures

Off-Axis Fatigue Behavior of Unidirectional Carbon Fiber-Reinforced Composites at Room and High Temperatures

Cohesive Micromechanics: A New Approach for Progressive Damage Modeling in Laminated Composites

Mechanical behavior of jute hybrid bio-composites

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