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  Crack driving force in twisted plywood structures

Fischer, F., Kolednik, O., Predan, J., Razi, H., & Fratzl, P. (2017). Crack driving force in twisted plywood structures. Acta Biomaterialia, 55, 349-359. doi:10.1016/j.actbio.2017.04.007.

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 Creators:
Fischer, F.D., Author
Kolednik, O., Author
Predan, J., Author
Razi, Hajar1, Author                 
Fratzl, Peter2, Author           
Affiliations:
1Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society, ou_1863285              
2Peter Fratzl, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society, ou_1863294              

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Free keywords: Fiber composite, lamellar bone, stiffness matrix, configurational forces, fracture toughness
 Abstract: Twisted plywood architectures can be observed in many biological materials with high fracture toughness, such as in arthropod cuticles or in lamellar bone. Main purpose of this paper is to analyze the influence of the progressive rotation of the fiber direction on the spatial variation of the crack driving force and, thus, on the fracture toughness of plywood-like structures. The theory of fiber composites is used to describe the stiffness matrix of a twisted plywood structure in a specimen-fixed coordinate system. The driving force acting on a crack propagating orthogonally to the fiber-rotation plane is studied by methods of computational mechanics, coupled with the concept of configurational forces. The analysis unfolds a spatial variation of the crack driving force with minima that are beneficial for the fracture toughness of the material. It is shown that the estimation of the crack driving force can be simplified by replacing the complicated anisotropic twisted plywood structure by an isotropic material with appropriate periodic variations of Young’s modulus, which can be constructed based either on the local stiffness or local strain energy density variations. As practical example, the concepts are discussed for a specimen with a stiffness anisotropy similar to lamellar bone.

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 Dates: 2017-04-082017
 Publication Status: Issued
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 Identifiers: DOI: 10.1016/j.actbio.2017.04.007
PMID: 0519
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Title: Acta Biomaterialia
  Other : Acta Biomater.
Source Genre: Journal
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Publ. Info: Amsterdam : Elsevier
Pages: - Volume / Issue: 55 Sequence Number: - Start / End Page: 349 - 359 Identifier: ISSN: 1742-7061