A novel approach to analyze beam-like composite structures using mechanics of structure genome

Liu, Xin; Yu, Wenbin

doi:10.1016/j.advengsoft.2016.08.003

Cited by 51 publications

(15 citation statements)

References 17 publications

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“…MSG has been recently developed as a unified theory for multiscale constitutive modeling for all types of composites structures including beams, plates/shells, and 3D structures by Yu. 13 Its potential for analyzing slender composite structures and the free-edge effects of laminates has been shown by Liu and Yu 14 and Peng et al., 15 respectively. MSG provides a general-purpose micromechanics theory when it is specialized to constitutive modeling of 3D structures.…”

Section: Msgmentioning

confidence: 99%

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Three-dimensional thermoelastic properties of general composite laminates

Rique¹,

Goodsell²,

Yu³

et al. 2017

Journal of Composite Materials

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This paper presents a hybrid rule of mixtures for calculating the complete set of effective three-dimensional thermoelastic properties of a composite laminate when it is approximated as an equivalent, homogeneous, anisotropic solid. The laminate can be made of generally anisotropic layers with arbitrary layup sequence. This hybrid rule of mixtures is based on the exact solution obtained using the recently discovered mechanics of structure genome. Since mechanics of structure genome minimizes the loss of accuracy for homogenization, the three-dimensional thermoelastic properties obtained using the mechanics of structure genome-based hybrid rule of mixtures will be the most accurate one could obtain for composite laminates. The results of the hybrid rule of mixtures are compared with several other representative methods for predicting thermoelastic properties of composite laminates.

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Section: Msgmentioning

confidence: 99%

“…with N as the total number of layers in the laminate, and t i as thickness for the ith layer. We can also compute the average of both sides of the second equation in equation (14) as…”

Section: Hrm For Composite Laminatesmentioning

confidence: 99%

Three-dimensional thermoelastic properties of general composite laminates

Rique¹,

Goodsell²,

Yu³

et al. 2017

Journal of Composite Materials

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“…The first example is a composite four-layer beam with length L 1 m taken from [51], as shown in Fig. 4.…”

Section: A Description Of Considered Sectionsmentioning

confidence: 99%

“…4. The material properties are [51]: E 11 110.5 GPa, E 22 E 33 13.64 GPa, G 12 G 13 3.92 GPa, G 23 3.26 GPa, ν 12 ν 13 0.329, and ν 23 0.4. The section has an asymmetric cross-ply layup of 90∕0 2 exhibiting extension-bending and shear-torsion couplings.…”

Section: A Description Of Considered Sectionsmentioning

confidence: 99%

Multifield Variational Sectional Analysis for Accurate Stress Computation of Multilayered Composite Beams

Dhadwal

Jung

2019

AIAA Journal

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A multifield variational beam sectional analysis is proposed based on the Hellinger-Reissner principle for anisotropic beams with arbitrary cross-sectional geometries and material distributions. Both stresses and threedimensional (3D) warping deformations are treated as unknowns, which are modeled using the isoparametric finite element (FE) shape functions. The nodal stresses are solved on each material domain, resulting in the required continuity within the domain and discontinuity at the material interfaces. A generalized Timoshenko-like stiffness matrix is constituted from the 3D warping solution inherently describing Timoshenko model for transverse shear, Poisson deformations, and associated couplings. The accuracy of the present analysis is demonstrated for benchmark composite beams with elastic couplings. The computed elastostatic responses are in excellent agreement with those of 3D FE analysis and experimental data. The stress predictions from the present multifield formulation show excellent correlation with 3D FE results using fewer elements in comparison to the conventional displacement-based approach while maintaining the stress continuity requirements for multilayered composite beams.

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“…Examples are the Generalised Method of Cells (GMC), 12,13 the Representative Volume Element (RVE), 14,15 the variational asymptotic method for unit cell homogenization (VAMUCH), 16 and the Mechanics of Structure Genome (MSG). 17–19 Recently, an elaborate description of bottom-up, multiscale modelling approach for high-fidelity virtual mechanical tests of composite materials has been presented in LLorca et al., 20 which used molecular dynamics and Monte Carlo methods at nano-scale, RVEs at micro-scale and structural elements (beams, plates, or shells) at macro-scale.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions for the macro-, meso- and micro-scale analysis of composite laminates and sandwich structures

Yang

Pagani

Carrera

et al. 2018

Journal of Composite Materials

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The present work proposes a closed-form solution based on refined beam theories for the static analysis of fiber-reinforced composite and sandwich beams under simply supported boundary conditions. The higher-order beam models are developed by employing Carrera Unified Formulation, which uses Lagrange-polynomials expansions to approximate the kinematic field over the cross section. The proposed methodology allows to carry out analysis of composite structure analysis through a single formulation in global-local sense, i.e. homogenized laminates at a global scale and fiber-matrix constituents at a local scale, leading to component-wise analysis. Therefore, three-dimensional stress/displacement fields at different scales can be successfully detected by increasing the order of Lagrange polynomials opportunely. The governing equations are derived in a strong-form and solved in a Navier-type sense. Three benchmark numerical assessments are carried out on a single-layer transversely isotropic beam, a cross-ply laminate false[0∘/90∘/0∘] beam and a sandwich beam. The results show that accurate displacement and stress values can be obtained in different parts of the structure with lower computational cost in comparison with traditional, enhanced as well as three-dimensional finite element methods. Besides, this study may serve as benchmarks for future assessments in this field.

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A novel approach to analyze beam-like composite structures using mechanics of structure genome

Cited by 51 publications

References 17 publications

Three-dimensional thermoelastic properties of general composite laminates

Three-dimensional thermoelastic properties of general composite laminates

Multifield Variational Sectional Analysis for Accurate Stress Computation of Multilayered Composite Beams

Exact solutions for the macro-, meso- and micro-scale analysis of composite laminates and sandwich structures

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