A new approach to a bridging tensor

Wang, Yanchao; Huang, Zheng‐Ming

doi:10.1002/pc.23048

Cited by 28 publications

(15 citation statements)

References 7 publications

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“…Wang et al 30 have proved that a rigorous bridging matrix can be derived from stress fields of a concentrated cylindrical assembly (CCA) model subjected to six different loads. The rigorous format of a bridging matrix is given in Eq.…”

Section: -7)mentioning

confidence: 99%

“…In other words, the effective compliance matrix remains symmetric, although the bridging matrix is non-symmetric. Further, Wang et al 30 made a comparison between the rigorous bridging matrix and the Huang's version. The conclusion is that the Huang's version can be seen as a simplification of the rigorous one, when a fiber is much stiffer than a matrix in a composite, which is the common case of fiber reinforced epoxy composites.…”

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confidence: 99%

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A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

Wang

Chen

et al. 2020

Sci Rep

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Nonlinear properties of composite materials are essential for their engineering application. In this work, a three-phase micromechanics bridging model is employed to evaluate the nonlinear behavior of a composite from properties of fiber, matrix and interphase. It is assumed that the matrix elastoplasticity and the interface damage are two major sources of the nonlinearity. The former is described by the J2 flow rule. The latter is approximated by an interphase with stiffness degradation. For an interphase, an equivalent damage stress is introduced to account for the effect of normal and shear stress on the interface damage growth. Further, an explicit empirical equation is developed to relate the equivalent damage stress and the stiffness degradation of an interphase. The present elasto-plastic damage model is validated by comparing with experimental data of a series of composites under off-axis tensile loads.

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Section: -7)mentioning

confidence: 99%

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confidence: 99%

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

Wang

Chen

et al. 2020

Sci Rep

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“…(1) and the bridging tensor is determined following a method of Ref. [37]. The specification of the boundary conditions has become standard [36].…”

Section: Highlight On Micromechanics Modelsmentioning

confidence: 99%

Micromechanical Failure Analysis of Unidirectional Composites

Huang¹

2019

Failure Analysis

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Internal stresses in the fiber and matrix of a unidirectional (UD) composite obtained by any micromechanics model are homogenized quantities. They must be converted into true values before an effective specifically failure and strength property of the composite can be predicted in terms of the fiber and matrix properties only. As elastic property of a material does not depend on the magnitude of its stresses, the predictions of an elastic property of the composite based on the homogenized and true stresses of the constituents are the same, concealing the fact that the elastic property should be predicted based on the true stresses as well. The conversion of all of the internal stress components has been shown in this chapter. Predictability of a total number of 12 micromechanics models for the stiffness and strength of a UD composite is assessed against the experimental data of the 9 UD composites provided in three worldwide failure exercises (WWFEs). Bridging Model exhibits overall the best accuracy in both the stiffness and the strength predictions. Further, the smallest fiber volume in a RVE (representative volume element) for an FE (finite element) approach plays a much more dominant role than other issues such as a random fiber arrangement pattern to achieve the highest simulation accuracy. Finally, consistency of a micromechanics model in calculating the internal stresses of a composite is an issue that should be taken into account. Only Bridging Model is consistent. A non-consistency implies that a full three-dimensional (3D) model should be used to predict an effective property, e.g., failure behavior of a composite even though it is only subjected to a uniaxial load, and a 3D RVE geometry should be discretized if a numerical micromechanics approach is applied.

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“…This work employs micromechanical models that are separated into two parts: initially, elastic properties are estimated using the Mori-Tanaka model and the strengths are predicted using the Bridging model for a single lamina; next, the asymptotic homogenization is applied to obtain the equivalent properties of the homogenized laminate considering an angle-ply lay-up α n , where n is the number of repetition of the plies α and -α. The Bridging model was first derived based on the Mori-Tanaka approach Huang, 2000; Huang and Zhou, 2011 and later an alternative formulation using the three-phase model was proposed resulting in similar predictions Wang and Huang, 2015 . Basically, all interfaces are assumed to be perfectly bonded. These interfaces include fiber-matrix and consecutive plies.…”

Section: Micromechanics Analysismentioning

confidence: 99%

Multiscale Failure Analysis of Cylindrical Composite Pressure Vessel: A Parametric Study

Vignoli

Savi

2018

Lat. Am. j. solids struct.

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This paper deals with a multiscale approach to model thick-walled laminate cylinder with internal pressure. Micromechanics defines material homogenization considering two steps: determination of equivalent properties of each lamina from matrix and fiber properties according to the Mori-Tanaka model for elastic properties and to the Bridging model for strengths; and determination of anisotropic homogeneous properties of the laminate built with a set of laminae using asymptotic homogenization. On the other hand, macromechanics determines stress and failure analysis. Lekhnitskii formalism is used to obtain the elastic solution of the stress and strain distributions and failure is analyzed employing the Tsai-Wu criterion. Three different pressure vessel configurations are analyzed according to end conditions: restrained-ends, open-ends and closed-ends. Angle-ply laminates made of carbon fibers and epoxy matrix are considered to evaluate the influence of lay-up angle, fiber volume fraction, wall thickness and end-conditions. The optimum angles as well as the maximum internal pressure are obtained and a parametric analysis is presented. The main results indicate that the optimum angle is almost constant for restrained and closed-ends. On the other hand, for open-end, angle varies in a significant way. Besides, results show that the increase the fiber volume fraction is more effective to increase vessel strength than the increase of the number of layers.

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A new approach to a bridging tensor

Cited by 28 publications

References 7 publications

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

Micromechanical Failure Analysis of Unidirectional Composites

Multiscale Failure Analysis of Cylindrical Composite Pressure Vessel: A Parametric Study

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