Mechanics of composites: A historical review

Herakovich, Carl T.

doi:10.1016/j.mechrescom.2012.01.006

Cited by 102 publications

(44 citation statements)

References 79 publications

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“…The basic constitutive equation for an orthotropic composite ply is { ε } = [ S ]{ σ }, which [ S ] is the compliance matrix of ply. Determining the xyz ‐coordinate system in the ply mid‐plane – centred between the top and bottom surfaces, which is coincident to the material coordinate system of ply, and considering the generalised plane stress condition in x ‐direction, which is coincident to the fibre direction – the displacement fields of ply can be written as

u = f ((),, y, z) + ε_{x}^{c} x, v = v ((),, y, z), w = w ((),, y, z) .

…”

Section: Developed Micromechanics Approachmentioning

confidence: 99%

A simplified micromechanics model for predicting the stiffness degradation in symmetric composite laminates

Farrokhabadi

Mohammadi

Hosseini‐Toudeshky

2015

Fatigue Fract Eng Mat Struct

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Recently, the authors of this paper have developed a new micromechanics approach to evaluate the stress fields and material properties of an orthotropic composite ply containing specified matrix cracking density under multi‐axial loading condition. In this study, more complementary details of approach are obtained, and a closed form solution for evaluating the stress fields and stiffness degradation of a damaged ply will be presented and applied for analysing several composite laminate with general symmetric lay‐ups. The obtained results will be compared with the available experimental results. The major advantage of the mentioned micromechanics approach is its capability for analysing an arbitrary composite ply containing specified matrix crack independent of its adjacent plies. This preference can be applied for bridging the proposed micromechanics model into the finite element analysis for progressive modelling of matrix cracking in general symmetric laminates with the least computational effort and the most accuracy.

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u = f ((),, y, z) + ε_{x}^{c} x, v = v ((),, y, z), w = w ((),, y, z) .

…”

Section: Developed Micromechanics Approachmentioning

confidence: 99%

A simplified micromechanics model for predicting the stiffness degradation in symmetric composite laminates

Farrokhabadi

Mohammadi

Hosseini‐Toudeshky

2015

Fatigue Fract Eng Mat Struct

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“…Advances in automated manufacturing and, in particular, additive manufacturing have led to the widespread application of components possessing complex and fit‐for‐purpose material layouts in the construction, aerospace, and automotive industries . Additively manufactured functionally graded composites and foams can be tailored to increased mechanical properties when compared with traditional layered composites or metals, for example, higher strength to weight ratios and higher damping to weight ratios .…”

Section: Introductionmentioning

confidence: 99%

A multiscale virtual element method for the analysis of heterogeneous media

Sreekumar

Triantafyllou

Bécot

et al. 2020

Numerical Meth Engineering

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Summary We introduce a novel heterogeneous multiscale method for the elastic analysis of two‐dimensional domains with a complex microstructure. To this end, the multiscale finite element method is revisited and originally upgraded by introducing virtual element discretizations at the microscale, hence allowing for generalized polygonal and nonconvex elements. The microscale is upscaled through the numerical evaluation of a set of multiscale basis functions. The solution of the equilibrium equations is performed at the coarse scale at a reduced computational cost. We discuss the computation of the multiscale basis functions and corresponding virtual projection operators. The performance of the method in terms of accuracy and computational efficiency is evaluated through a set of numerical examples.

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“…The sandwich structure has been widely used in the last half century, and numerous papers about its dynamic behavior, structural types, and industrial applications can be found in the available literature, which has been reviewed by Herakovich [1], Caliri et al [2], and Mouritz et al [3]. In most cases, the sandwich structure is composed of two face sheets with high strength and a middle core with low strength and low density.…”

Section: Introductionmentioning

confidence: 99%