Advanced Estimation of Compressive Strength and Fracture Behavior in Ceramic Honeycombs by Polarimetry Measurements of Similar Epoxy Resin Honeycombs

Köllner, David; Tolve-Granier, Bastien; Simon, Swantje; Kakimoto, Ken‐ichi; Fey, Tobias

doi:10.3390/ma15072361

Cited by 4 publications

(7 citation statements)

References 39 publications

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“…The evolution of the surface stress with increasing θ angle shows, on the one hand, a more homogeneous stress distribution in the auxetic region and, on the other hand, higher absolute stress in the honeycomb area. This also correlates with the fracture behavior of ceramic honeycombs, as described by Köllner et al [20] Thus, the honeycomb specimen mainly exhibited the fracture in the center of the upper strut, which is consistent with the stress-exceeded point of this FEM simulation. Furthermore, this simulation indicates or explains that auxetic structures achieve higher strength values than honeycomb structures.…”

Section: Influence Of the Structural θ Angle On The Mechanical Proper...supporting

confidence: 91%

“…The issue has already been observed on alumina auxetic and honeycomb structures, where this effect was due to the different mechanical stress modes between auxetic and honeycomb specimens. [ 20 ] Especially the stress‐excessive points showed compressive stresses in the auxetic case and tensile stresses in the honeycomb case, which lead to higher strength for the auxetic specimens. [ 20,49,50 ]

σ_{c} = σ_{0} * {(\frac{t}{l})}^{2} * \frac{1}{3 false(\frac{h}{l} + \sin θ false) \sin θ}

…”

Section: Resultsmentioning

confidence: 99%

“…[ 20 ] Especially the stress‐excessive points showed compressive stresses in the auxetic case and tensile stresses in the honeycomb case, which lead to higher strength for the auxetic specimens. [ 20,49,50 ]

σ_{c} = σ_{0} * {(\frac{t}{l})}^{2} * \frac{1}{3 false(\frac{h}{l} + \sin θ false) \sin θ}

…”

Section: Resultsmentioning

confidence: 99%

“…2.1. Fabrication Ba 0.85 Ca 0.15 Zr 0.1 Ti 0.9 O 3 (BCZT) cellular structures were produced via an injection molding technique, described in detail in the study by Köllner et al [20] The auxetic and honeycomb unit cell is shown in Figure 1. All samples had a constant strut thickness t of 0.8 mm, height Y of 5.66 mm, width h of 4.92 mm, and depth T of 2.00 mm.…”

Section: Methodsmentioning

confidence: 99%

“…Honeycombs represent a subgroup of cellular ceramics, in which the mechanical and piezoelectric properties are strongly controlled by geometrical parameters and less by the porosity itself. [20,21] Using auxetic PZT lattices (inverse honeycombs), Fey et al have already shown that despite a porous structure, higher piezoelectric coefficients and strain amplification can be achieved compared to the bulk material. [22] Furthermore, Tang et al demonstrated improved piezoelectric properties with an auxetic metamaterial.…”

Section: Introductionmentioning

confidence: 99%

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Relation between Structure, Mechanical and Piezoelectric Properties in Cellular Ceramic Auxetic and Honeycomb Structures

et al. 2022

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Optimizing renewable energy harvesting is of major importance in the following decades. In order to increase performance and efficiency, an ideal balance of mechanical and piezoelectric properties must be targeted. For this purpose, the approach of ceramic auxetic and honeycomb structures made of (Ba,Ca)(Zr,Ti)O3 (BCZT) which is produced via injection molding is considered. The main design parameter is the structural angle θ which is varied between −35° and 35°. Its effect on compressive strength, Young's modulus, and Poisson's ratio are determined via uniaxial compression tests and digital image correlation (DIC). Maximum compressive strength of 95 MPa at 0° (porosity of 59%) is found, which is superior to conventional porous ceramics of the same porosity. The piezoelectric constants d33 (max. 296 pC N−1) and g33 (max. 0.068 Vm N−1) are measured via the Berlincourt method and also exceed expectations, regardless of the structure. The theoretical models of Gibson and Ashby (mechanical) and Okazaki (piezoelectrical), as well as finite element method simulations, strengthen and explain the experimental results.

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Section: Influence Of the Structural θ Angle On The Mechanical Proper...supporting

confidence: 91%

σ_{c} = σ_{0} * {(\frac{t}{l})}^{2} * \frac{1}{3 false(\frac{h}{l} + \sin θ false) \sin θ}

…”

Section: Resultsmentioning

confidence: 99%

σ_{c} = σ_{0} * {(\frac{t}{l})}^{2} * \frac{1}{3 false(\frac{h}{l} + \sin θ false) \sin θ}

…”

Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Relation between Structure, Mechanical and Piezoelectric Properties in Cellular Ceramic Auxetic and Honeycomb Structures

et al. 2022

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Towards advanced piezoelectric metamaterial design via combined topology and shape optimization

Stankiewicz,

Dev,

Weichelt

et al. 2024

Struct Multidisc Optim

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Metamaterials open up a spectrum of artificially engineered properties otherwise unreachable in conventional bulk materials. For electromechanical energy conversion systems, lightweight materials with high hydrostatic piezoelectric coupling coefficients and negative Poisson’s ratio can be obtained. Thus, in this contribution, we explore the possibilities of piezoelectric metamaterials design by employing structural optimization. More specifically, we apply a sequential framework of topology and shape optimization to design piezoelectric metamaterials with negative Poisson’s ratio for electromechanical energy conversion under uniform pressure. Topology optimization is employed to generate the initial layout, whereas shape optimization fine tunes the design and improves durability and manufacturability of the structures with the help of a curvature constraint. An embedding domain discretization (EDD) method with adaptive domain and shape refinement is utilized for an efficient and accurate computation of the state problem in the shape optimization stage. Multiple case studies are conducted to determine the importance of desired stiffness characteristics, symmetry conditions and objective formulations on the design of piezoelectric metamaterials. Results show that the obtained designs are highly dependent on the desired stiffness characteristics. Moreover, the addition of the EDD-based shape optimization step introduces significant changes to the designs, confirming the usability of the sequential framework.

show abstract

Towards advanced piezoelectric metamaterial design via combined topology and shape optimization

Stankiewicz,

Dev,

Weichelt

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

Metamaterials open up a spectrum of artificially engineered properties otherwise unreachable in conventional bulk materials. For electromechanical energy conversion systems, lightweight materials with high hydrostatic piezoelectric coupling coefficients and negative Poisson's ratio can be obtained. Thus, in this contribution, we explore the possibilities of piezoelectric metamaterials design by employing structural optimization. More specifically, we apply a sequential framework of topology and shape optimization to design piezoelectric metamaterials with negative Poisson's ratio for electromechanical energy conversion under uniform pressure. Topology optimization is employed to generate the initial layout, whereas shape optimization fine tunes the design and improves durability and manufacturability of the structures with the help of a curvature constraint. An embedding domain discretization (EDD) method with adaptive domain and shape refinement is utilized for an efficient and accurate computation of the state problem in the shape optimization stage. Multiple case studies are conducted to determine the importance of desired stiffness characteristics, symmetry conditions and objective formulations on the design of piezoelectric metamaterials. Results show that the obtained designs are highly dependent on the desired stiffness characteristics. Moreover, the addition of the EDD-based shape optimization step introduces significant changes to the designs, confirming the usability of the sequential framework.

show abstract

Advanced Estimation of Compressive Strength and Fracture Behavior in Ceramic Honeycombs by Polarimetry Measurements of Similar Epoxy Resin Honeycombs

Cited by 4 publications

References 39 publications

Relation between Structure, Mechanical and Piezoelectric Properties in Cellular Ceramic Auxetic and Honeycomb Structures

Relation between Structure, Mechanical and Piezoelectric Properties in Cellular Ceramic Auxetic and Honeycomb Structures

Towards advanced piezoelectric metamaterial design via combined topology and shape optimization

Towards advanced piezoelectric metamaterial design via combined topology and shape optimization

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