Prediction of the Elastic Moduli of Composites

Rossi, Ronald C.

doi:10.1111/j.1151-2916.1968.tb11914.x

Cited by 108 publications

(21 citation statements)

References 8 publications

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“…Already low porosity represented by flat pores considerably decreases the elastic characteristics of the sample (Rossi 1968). ii) The samples contain a large number of very small ''microscopic'' isotropic pores and practically no larger pores.…”

Section: Resultsmentioning

confidence: 98%

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Elastic-wave velocities for porous media with power-law distribution of pore sizes

Kupková¹,

Kupka²

1997

Geologische Rundschau

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A system consisting of an elastic matrix with randomly distributed pores of uniform shapes but with sizes governed by a power-law distribution is investigated in a theoretical way. The velocities of elastic waves propagating through such a system are calculated. The obtained results are that the velocities decrease with increasing total porosity and for a given porosity velocities moderately decrease with increasing absolute value of the exponent D in a power-law distribution of pore sizes.

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Section: Resultsmentioning

confidence: 98%

“…The pores are assumed as spheres or oblate ellipsoids with uniform size. The results of these studies are that the wave velocities decrease with increasing total porosity, and that the flatter pores have relatively greater effect on velocities than nearly spherical pores (Rossi 1968).…”

Section: Introductionmentioning

confidence: 98%

Elastic-wave velocities for porous media with power-law distribution of pore sizes

Kupková¹,

Kupka²

1997

Geologische Rundschau

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“…26 Based on his model applied to spherical pores, Rossi approximated a for a material having a Poisson ratio of 0.2 by the equation…”

Section: Resultsmentioning

confidence: 99%

Porosity-induced relaxation of strains in GaN layers studied by means of micro-indentation and optical spectroscopy

Najar¹,

Gerland²,

Jouiad³

2012

Journal of Applied Physics

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We report the fabrication of porous GaN nanostructures using UV-assisted electroless etching of bulk GaN layer grown on c-plane sapphire substrate in a solution consisting of HF : CH 3 OH : H 2 O 2 . The morphology of the porous GaN nanostructures was characterized for different etching intervals using high resolution scanning electron microscopy. The geometry and size of resultant pores do not appear to be affected by the etching time; however, the pore density was augmented for longer etching time. Micro-indentation tests were carried out to quantify the indentation modulus for different porous GaN nanostructures. Our results reveal a relationship between the elastic properties and the porosity kinetics, i.e., a decrease of the elastic modulus was observed with increasing porosity. The photoluminescence (PL) and Raman measurements carried out at room temperature for the etched samples having a high degree of porosity revealed a strong enhancement in intensity. Also, the peak of the PL wavelength was shifted towards a lower energy. The high intensity of PL was correlated to an increase of scattered photons within the porous media and to the reduction of the dislocation density. V C 2012 American Institute of Physics. [http://dx

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“…The mechanical properties of the newly designed porous structure were calculated through a relationship between Young's modulus and porosity, which has been widely discussed. For instance, Rossi 60 modified Hashin's equation so that Young's modulus is a function of low concentration of spherical pores, that is, E = E 0 (1 -Bp). Based on this, Rice 61 proposed an exponential function that can be applied for a wide range of pore character.…”

Section: Computational Modeling For 3d Printing Design Optimizationmentioning

confidence: 99%

Development of Novel Three-Dimensional Printed Scaffolds for Osteochondral Regeneration

Holmes

Zhu

et al. 2015

Tissue Engineering Part A

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As modern medicine advances, various methodologies are being explored and developed in order to treat severe osteochondral defects in joints. However, it is still very challenging to cure the osteochondral defects due to their poor inherent regenerative capacity, complex stratified architecture, and disparate biomechanical properties. The objective of this study is to create novel three-dimensional (3D) printed osteochondral scaffolds with both excellent interfacial mechanical properties and biocompatibility for facilitating human bone marrow mesenchymal stem cell (MSC) growth and chondrogenic differentiation. For this purpose, we designed and 3D printed a series of innovative bi-phasic 3D models that mimic the osteochondral region of articulate joints. Our mechanical testing results showed that our bi-phasic scaffolds with key structures have enhanced mechanical characteristics in compression (a maximum Young's modulus of 31 MPa) and shear (a maximum fracture strength of 5768 N/mm 2 ) when compared with homogenous designs. These results are also correlated with numerical simulation. In order to improve their biocompatibility, the scaffolds' surfaces were further modified with acetylated collagen (one of the main components in osteochondral extracellular matrix). MSC proliferation results demonstrated that incorporation of a collagen, along with biomimetically designed micro-features, can greatly enhance MSC growth after 5 days in vitro. Two weeks' chondrogenic differentiation results showed that our novel scaffolds (dubbed ''key'' scaffolds), both with and without surface collagen modification, displayed enhanced chondrogenesis (e.g., 130%, 114%, and 236% increases in glycosaminoglycan, type II collagen deposition, and total protein content on collagen-modified key scaffolds when compared with homogeneous controls).

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Prediction of the Elastic Moduli of Composites

Cited by 108 publications

References 8 publications

Elastic-wave velocities for porous media with power-law distribution of pore sizes

Elastic-wave velocities for porous media with power-law distribution of pore sizes

Porosity-induced relaxation of strains in GaN layers studied by means of micro-indentation and optical spectroscopy

Development of Novel Three-Dimensional Printed Scaffolds for Osteochondral Regeneration

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