Shape optimization of randomly oriented short fibers for bone cement reinforcements

Zhou, Yang; Li, Chaodi; Mason, Joshua

doi:10.1016/j.msea.2004.11.008

Cited by 14 publications

(8 citation statements)

References 25 publications

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“…A review of homogenization and topology optimization is given by Hassani and Hinton [18], [19], [20]. Shape optimization was also exploited to design materials assuming given parametric geometrical shapes as, for example, in Zhou et al [52] or Procházka and Válek [33] where the optimal shapes of short fibers maximizing the bearing capacity of composites were studied.…”

Section: Introductionmentioning

confidence: 99%

Shape optimization of microstructural designs subject to local stress constraints within an XFEM-level set framework

Noël

Duysinx

2016

Struct Multidisc Optim

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The present paper investigates the tailoring of bimaterial microstructures minimizing their local stress field exploiting shape optimization. The problem formulation relies on the extended finite element method (XFEM) combined with a level set representation of the geometry, to deal with complex microstructures and handle large shape modifications while working on fixed meshes. The homogenization theory, allowing extracting the behavior of periodic materials built from the repetition of a representative volume element (RVE), is applied to impose macroscopic strain fields and periodic boundary conditions to the RVE. Classical numerical homogenization techniques are adapted to the selected XFEM-level set framework. Following previous works on analytical sensitivity analysis [31], the scope of the developed approach is extended to tackle the problem of stress objective or constraint functions. Finally, the method is illustrated by revisiting 2D classical shape optimization examples: finding the optimal shapes of single or multiple inclusions in a microstructure while minimizing its local stress field.

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Section: Introductionmentioning

confidence: 99%

Shape optimization of microstructural designs subject to local stress constraints within an XFEM-level set framework

Noël

Duysinx

2016

Struct Multidisc Optim

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“…Zhu and Beyerlein [5] have shown that the bone-shaped short fiber reinforced composites have more strength and toughness compared to the conventional short straight fiber reinforced composites. Finite element (FE) analysis was used by Zhou et al [6] to obtain the optimum fiber shape that gives maximum stiffness to the composite. From these studies, it is clear that the fiber shape has a significant influence on the effective properties of composites.…”

Section: Introductionmentioning

confidence: 99%

A hybrid method for computing the effective properties of composites containing arbitrarily shaped inclusions

Srinivasulu

Ramachandran

Jayasankar³

2015

Computers & Structures

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“…Research shows that composite mechanical properties greatly depend on the fiber shape (Zhou et al, 2005). To obtain a better load transfer mechanism and better stress distribution, many different fiber geometries have been experimented and analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…Bagwell and Wetherhold (2005) (see also Wetherhold and Lee, 2001) investigated shaped fiber ends produced by end-impacting and knotting fibers to facilitate anchoring, similar to work with bone-shaped short fibers produced by Zhu and Beyerlein (2002) who evaluated the mechanical behavior of enlarged-end short fibers by experimental pullout of aligned fibers from a polyester matrix. Zhou et al (2005) developed a FEA procedure for inclusion shape optimization maximizing the stiffness of CM and demonstrated that the enlarged-end short fiber with many threads is more desirable.…”

Section: Introductionmentioning

confidence: 99%

FEA in elasticity of random structure composites reinforced by heterogeneities of non canonical shape

Buryachenko

Brun

2011

International Journal of Solids and Structures

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One considers linearly elastic composite media, which consist of a homogeneous matrix containing a statistically\ud homogeneous random set of aligned homogeneous heterogeneities of non canonical shape.\ud Effective elastic moduli as well as the first statistical moments of stresses in the phases are estimated.\ud The explicit new representations of the effective moduli and stress concentration factors are expressed\ud through some building block described by numerical solution for one heterogeneity inside the infinite\ud medium subjected to homogeneous remote loading. The method uses as a background a new general\ud integral equation proposed in Buryachenko (2010a,b), which incorporates influence of stress inhomogeneity\ud inside the inclusion on the effective field and makes it possible to reconsider basic concepts of\ud micromechanics such as effective field hypothesis, quasi-crystalline approximation, and the hypothesis\ud of ‘‘ellipsoidal symmetry’’. The results of this reconsideration are quantitatively estimated for some modeled\ud composite reinforced by aligned homogeneous heterogeneities of non canonical shape. Some new\ud effects are detected that are impossible in the framework of a classical background of micromechanics

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Shape optimization of randomly oriented short fibers for bone cement reinforcements

Cited by 14 publications

References 25 publications

Shape optimization of microstructural designs subject to local stress constraints within an XFEM-level set framework

Shape optimization of microstructural designs subject to local stress constraints within an XFEM-level set framework

A hybrid method for computing the effective properties of composites containing arbitrarily shaped inclusions

FEA in elasticity of random structure composites reinforced by heterogeneities of non canonical shape

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