Nacre: An orthotropic and bimodular elastic material

Bertoldi, Katia; Bigoni, Davide; Drugan, W. J.

doi:10.1016/j.compscitech.2007.11.016

Cited by 90 publications

(40 citation statements)

References 23 publications

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“…That is, the modulus is simply the brick height (h) multiplied by the cohesive stiffness (k n ), while the strength is simply the peak strength in the cohesive law. As the orientation of the applied stress is brought in coincidence with the long brick direction, the effective modulus and strength increase due to shear transfer to the bricks; in the limit of 90 • loading (parallel to the brick direction), one obtains the enhanced properties predicted by micromechanical models presented elsewhere for rigid bricks [22,26,39].…”

Section: Modulus and Strength (Without Macroscopic Pre-cracks)mentioning

confidence: 99%

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GPU-based simulations of fracture in idealized brick and mortar composites

Pro

Lim

Petzold

et al. 2015

Journal of the Mechanics and Physics of Solids

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Stiff ceramic platelets (or bricks) that are aligned and bonded to a second ductile phase with low volume fraction (mortar) are a promising pathway to produce stiff, high-toughness composites.For certain ranges of constituent properties, including those of some synthetic analogues to nacre, one can demonstrate that the deformation is dominated by relative brick motions. This paper describes simulations of fracture that explicitly track the motions of individual rigid bricks in an idealized microstructure; cohesive tractions acting between the bricks introduce elastic, plastic and rupture behaviors. Results are presented for the stresses and damage near macroscopic cracks with different brick orientations relative to the loading orientation. The anisotropic macroscopic initiation toughness is computed for small-scale yielding conditions and is shown to be independent of specimen geometry and loading configuration. The results are shown to be in agreement with previously published experiments on synthetic nacre.

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Section: Modulus and Strength (Without Macroscopic Pre-cracks)mentioning

confidence: 99%

“…The strength and stiffness of 'brick and mortar' composites have been extensively modeled for homogeneous deformation, predominantly for loading in the long brick direction [22,23,24,25,26,27,28,29], as shown in Figure 1C. These works provide key insights into the impact of microstructural properties on macroscopic performance.…”

Section: Introductionmentioning

confidence: 99%

GPU-based simulations of fracture in idealized brick and mortar composites

Pro

Lim

Petzold

et al. 2015

Journal of the Mechanics and Physics of Solids

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“…Some researchers have used micromechanical modeling to predict the mechanical behavior of nacre (Zuo andWei 2008, Bertoldi, Bigoni andDrugan 2008). Zuo and Wei (Zuo and Wei 2008) suggested that the deformation in nacre can be well described by modified shear-lag model considering the elastic-plastic hardening property of the protein.…”

Section: Mechanical Propertiesmentioning

confidence: 99%

Biomimetic Lessons Learnt from Nacre

Katti¹,

Katti²,

Mohanty³

2010

Biomimetics Learning From Nature

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“…Bertoldi et al [7] developed a micromechanical model for nacre (mother of pearl) by using a homogenization approach. In the small-strain regime, the nacre exhibited strong difference in directional stiffness and bi-modular effects (different Young's moduli in compression and tension).…”

Section: Introductionmentioning

confidence: 99%

Contact interaction of two rectangular plates made from different materials with an account of physical nonlinearity

et al. 2017

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A mathematical model of a contact interaction between two plates made from materials with different elasticity modulus is derived taking into account physical and design nonlinearities. In order to study the stress-strain state of this complex mechanical structure, the method of variational iteration has been employed allowing for reduction of partial differential equations to ordinary differential equations (ODEs). The theorem regarding convergence of this method is formulated for the class of similar-like problems. The convergence of the proposed iterational procedure used for obtaining a solution to contact problems of two plates is proved. In the studied case, the physical nonlinearity is introduced with the help of variable parameters associated with plate stiffness. The work is supplemented with a few numerical examples. Both

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Nacre: An orthotropic and bimodular elastic material

Cited by 90 publications

References 23 publications

GPU-based simulations of fracture in idealized brick and mortar composites

GPU-based simulations of fracture in idealized brick and mortar composites

Biomimetic Lessons Learnt from Nacre

Contact interaction of two rectangular plates made from different materials with an account of physical nonlinearity

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