Elastic Properties of Model Porous Ceramics

Roberts, Anthony P.; Garboczi, Edward J.

doi:10.1111/j.1151-2916.2000.tb01680.x

Cited by 404 publications

(296 citation statements)

References 40 publications

(158 reference statements)

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“…Bounding theorems dictate limits on the elastic response of the collagen as a function of the mechanical response of the deoxycholate-treated construct (appendix A). Estimates like those of Ramakrishnan & Arunachalam (1993) and Monte Carlo simulations like those of Roberts & Garboczi (2000) incorporate specific void shapes, and predict that the modulus of a deoxycholate-treated construct will disappear at a void (cell) volume fraction sufficiently large that void clusters coalesce, eliminating continuity in the collagen. Accurate estimates do not exist for composites containing dense concentrations of ellipsoidal or spherical inclusions.…”

Section: (A) Analytical Techniquesmentioning

confidence: 99%

Whole cell mechanics of contractile fibroblasts: relations between effective cellular and extracellular matrix moduli

Marquez

Elson

Genin

2010

Phil. Trans. R. Soc. A.

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While much is known about the subcellular structures responsible for the mechanical functioning of a contractile fibroblast, debate exists about how these components combine to endow a cell with its form and mechanical function. We present an analysis of mechanical characterization experiments performed on bio-artificial tissue constructs, which we believe serve as a more realistic testing environment than two-dimensional cell culture. These model tissues capture many features of real tissues with the advantage that they can be engineered to model different physiological and pathological characteristics. We study here a model tissue consisting of reconstituted type I collagen and varying concentrations of activated contractile fibroblasts that is relevant to modelling different stages of wound healing. We applied this system to assess how cell and extracellular matrix (ECM) mechanics vary with cell concentration. Short-term and long-term moduli of the ECM were estimated through analytical and numerical analysis of two-phase elastic solids containing cell-shaped voids. The relative properties of cells were then deduced from the results of numerical analyses of two-phase elastic solids containing mechanically isotropic cells of varying modulus. With increasing cell concentration, the short-term and long-term tangent moduli of the reconstituted collagen ECM increased sharply from a baseline value, while those of the cells decreased monotonically.

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Section: (A) Analytical Techniquesmentioning

confidence: 99%

Whole cell mechanics of contractile fibroblasts: relations between effective cellular and extracellular matrix moduli

Marquez

Elson

Genin

2010

Phil. Trans. R. Soc. A.

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“…The Poisson ratio ν of the porous layer was set to 0.22 (taken from literature for porous alumina [35]), the cap eccentricity R was set to 0.25 to obtain a cap yield surface neither too circular nor too steep, α (a small number used to define the transition yield surface) was set to 0.01 and W (the porous volume fraction) was set to 0.17. A preliminary calculation showed that variation of the friction coefficient f between the indenter and the sample surface had negligible effect on the results and f was set to 0.1.…”

Section: Numerical Analysismentioning

confidence: 99%

“…In particular surface defects have a strong influence on their strength [32]. Furthermore, even a moderate porosity can have a substantial impact on their elastic modulus, strength and resistance to contact damage [33][34][35]. Finally, zirconia-containing ceramics require special attention: the tetragonal to monoclinic phase transformation, which accounts for their exceptional toughness, can occur spontaneously at low temperature in the presence of water, potentially deteriorating the material properties [36,37].…”

Section: Introductionmentioning

confidence: 99%

Selective etching of injection molded zirconia-toughened alumina: Towards osseointegrated and antibacterial ceramic implants

et al. 2016

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Due to their outstanding mechanical properties and excellent biocompatibility, zirconiatoughened alumina (ZTA) ceramics have become the gold standard in orthopedics for the fabrication of ceramic bearing components over the last decade. However, ZTA is bioinert, which hampers its implantation in direct contact with bone. Furthermore, periprosthetic joint infections are now the leading cause of failure for joint arthroplasty prostheses. To address both issues, an improved surface design is required: a controlled micro-and nano-roughness can promote osseointegration and limit bacterial adhesion whereas surface porosity allows loading and delivery of antibacterial compounds. In this work, we developed an integrated strategy aiming to provide both osseointegrative and antibacterial properties to ZTA surfaces. The microtopography was controlled by injection molding. Meanwhile a novel process involving the selective dissolution of zirconia (selective etching) was used to produce nano-roughness and interconnected nanoporosity. Potential utilization of the porosity for loading and delivery of antibiotic molecules was demonstrated, and the impact of selective etching on mechanical properties and hydrothermal stability was shown to be limited. The combination of injection molding and selective etching thus appears promising for fabricating a new generation of ZTA components implantable in direct contact with bone.3

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“…dν eq = 0, see (20), (21). Earlier in [22] also it has been discussed that at sufficiently high porosity Poisson's ratio converges to a fixed non-zero value, irrespective of the matrix Poisson's ratio. Mentioned limiting behavior of equivalent Poisson's ratio is illustrated on Fig.3,4,5,6 and could be seen directly from the analytical results, presented for cases I-IV by equations (23),(29),(35),(41), respectively.…”

Section: Size -Sensitive Dem Theory In Case IVmentioning

confidence: 99%

Some considerations on modelling and homogenization of multiphase light alloys

Parashkevova

2018

MATEC Web Conf.

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Abstract. The modelling strategies aimed to access the thermo-mechanical behavior of the up-to date light and superlight alloys should take into account characteristics of each particular manufacturing technology. In the present study the light alloys and materials of high porosity are regarded as multiphase composites for which the content of embedded phases is predominant. A new modification of differential effective medium theory is presented accounting for inclusion's size effects. The applied approach is based on the size-sensitive dilute homogenization procedure with Cosserat material matrix. Numerical examples for elastic properties of a close cell foam materials with different Poisson's ratio are presented and discussed.

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Elastic Properties of Model Porous Ceramics

Cited by 404 publications

References 40 publications

Whole cell mechanics of contractile fibroblasts: relations between effective cellular and extracellular matrix moduli

Whole cell mechanics of contractile fibroblasts: relations between effective cellular and extracellular matrix moduli

Selective etching of injection molded zirconia-toughened alumina: Towards osseointegrated and antibacterial ceramic implants

Some considerations on modelling and homogenization of multiphase light alloys

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