New optimization method for steered fiber composites using the level set method

Brampton, Christopher J.; Wu, Keyu; Kim, Hyunsun

doi:10.1007/s00158-015-1256-6

Cited by 95 publications

(30 citation statements)

References 38 publications

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“…The material parameters are referred from Ref. [33], which are modulus of elasticity kPa E L boundaries are symmetrical about x axis, the fiber paths should also be symmetrical.…”

Section: Hole Platementioning

confidence: 99%

“…Discretized fiber descriptions are also investigated. Brampton et al used the level set function to describe fiber paths, and applied it to optimize the orientation of continuously varying angle fiber tow paths [33]. Lemaire et al presented an optimization method for structures with curved fiber trajectories based on level-sets and a Fast Marching Method (FMM) [34].…”

Section: Introductionmentioning

confidence: 99%

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An efficient reanalysis assisted optimization for variable-stiffness composite design by using path functions

Huang

Wang

2016

Composite Structures

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“…The material parameters are referred from Ref. [33], which are modulus of elasticity kPa E L boundaries are symmetrical about x axis, the fiber paths should also be symmetrical.…”

Section: Hole Platementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An efficient reanalysis assisted optimization for variable-stiffness composite design by using path functions

Huang

Wang

2016

Composite Structures

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“…The material properties are referred from Ref. [7] and given in Table.1. The nodes on the left side are fixed and on the nodes on the right side are stretched.…”

Section: Optimized Variable Stiffness Platementioning

confidence: 99%

Fast variable stiffness composite cylinder uncertainty analysis by using reanalysis assisted Copula function

Zeng

Wang

2016

MATEC Web Conf.

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Abstract. There are lots of uncertainties in variable-stiffness composite materials such as material properties, fibre volume fraction, geometries at various scale and matrix porosity. Commonly, these uncertainties are not always mutually independent and there exist correlations among these random input variables. These correlations may affect the output of composite significantly. To address these correlations, a novel approach for uncertainty analysis based on copula function assisted by reanalysis method is suggested. The Copula function is utilized to address the correlations of random input variables. Monte Carlo simulation (MCS) is employed to obtain the uncertainty analysis. Therefore, a large number of samples should be generated and the expensive computational cost is not feasible when the popular finite element (FE) model is utilized. To save the computational cost and make the uncertainty analysis feasible in practice, an efficient fast computation method, reanalysis method is integrated in the frame. The numerical test demonstrates that the proposed approach is an efficient uncertainty analysis tool for the practical engineering problems.

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“…In curve-based design, the composite material has fibre orientations designed following parametrised curves, whose optimised shapes dictate variable orientations throughout a structure. Examples are fibre-path optimisation by using level-set methods (Brampton et al 2015;Lemaire et al 2015), the B-spline parametrisation in Montemurro and Catapano (2017), the fluid stream line parametrisation in Yamanaka et al (2016) and the parametrised curve family in Zhu et al (2017), which mimic principal stress trajectories. In general, curve-based design delivers more productionready results, while point-wise design usually needs postprocessing to translate the results to fibre paths that may be production-feasible.…”

Section: Introductionmentioning

confidence: 99%

Optimal orientation of fibre composites for strength based on Hashin’s criteria optimality conditions

Ferreira

Ashcroft

2020

Struct Multidisc Optim

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The Hashin's strength criteria are usually employed in first ply failure and damage-onset analysis of fibre-reinforced composites. This work presents optimality conditions of local material orientations for these criteria, in terms of principal stresses and material strength parameters. Each criterion (matrix tensile/compressive, fibre tensile/compressive modes) has its conditions separately derived, analytically, based on a fixed stress field assumption. The conditions found show that orientations which coincide and do not coincide with principal stress directions may minimise local failure indices. These solutions are employed in a proposed algorithm, named HA-OCM (Hashin Optimality Criteria Method), which selectively satisfies the matrix failure modes (either tensile or compressive), iteratively and finite element-wise in composites. It is demonstrated that the HA-OCM is able to design single-layer plane structures with improved failure loads in comparison with designs following only maximum (in absolute) principal stress orientations. Results show that the material orientations have a trend to end up either aligned or at 90 • with maximum in absolute principal stress directions. Global optima for compliance are, however, not guaranteed. To give an idea of gains in terms of failure loads, some HA-OCM designs show improvements of 71% and 140%, for example, in comparison with principal stress design.

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New optimization method for steered fiber composites using the level set method

Cited by 95 publications

References 38 publications

An efficient reanalysis assisted optimization for variable-stiffness composite design by using path functions

An efficient reanalysis assisted optimization for variable-stiffness composite design by using path functions

Fast variable stiffness composite cylinder uncertainty analysis by using reanalysis assisted Copula function

Optimal orientation of fibre composites for strength based on Hashin’s criteria optimality conditions

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