scholarly journals Homogenization of Heterogeneous Tissue Scaffold: A Comparison of Mechanics, Asymptotic Homogenization, and Finite Element Approach

2005 ◽  
Vol 2 (1) ◽  
pp. 17-29 ◽  
Author(s):  
Z. Fang ◽  
C. Yan ◽  
W. Sun ◽  
A. Shokoufandeh ◽  
W. Regli
Keyword(s):  
Mechanical Properties ◽  
Tissue Engineering ◽  
Finite Element ◽  
Effective Properties ◽  
Tissue Scaffolds ◽  
Homogenization Theory ◽  
Tissue Scaffold ◽  
Finite Element Approach ◽  
Element Approach ◽  
Effective Mechanical Properties

Actual prediction of the effective mechanical properties of tissue scaffolds is very important for tissue engineering applications. Currently common homogenization methods are based on three available approaches: standard mechanics modeling, homogenization theory, and finite element methods. Each of these methods has advantages and limitations. This paper presents comparisons and applications of these approaches for the prediction of the effective properties of a tissue scaffold. Derivations and formulations of mechanics, homogenization, and finite element approach as they relate to tissue engineering are described. The process for the development of a computational algorithm, finite element implementation, and numerical solution for calculating the effective mechanical properties of porous tissue scaffolds are also given. A comparison of the results based upon these different approaches is presented. Parametric analyses using the homogenization approach to study the effects of different scaffold materials and pore shapes on the properties of the scaffold are conducted, and the results of the analyses are also presented.

Mechanical Properties of Single-Walled Carbon Nanotubes - A Finite Element Approach

2008 ◽  
Vol 33-37 ◽  
pp. 937-942 ◽  
Author(s):  
Cheng Wen Fan ◽  
Jhih Hua Huang ◽  
Chyan Bin Hwu ◽  
Yu Yang Liu
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Finite Element ◽  
Circular Cross Section ◽  
Single Walled Carbon Nanotubes ◽  
Finite Element Approach ◽  
Single Walled Carbon ◽  
Carbon Bonds ◽  
Element Approach ◽  
Walled Carbon Nanotubes

In this paper, the mechanical properties, such as the axial and radial Young’s moduli, shear moduli, buckling loads and natural frequencies, of single-walled carbon nanotubes, are estimated by a finite element approach. Each carbon nanotube is simulated as a frame-like structure and the primary bonds between two nearest-neighboring atoms are treated as isotropic beam members with a uniform circular cross-section. In the modeling work, the BEAM4 element in commercial code ANSYS is selected to simulate the carbon bonds and the atoms are nodes. As to the input parameters of the BEAM4 element, they are determined via the concept of energy equivalence between molecular dynamics and structural mechanics, and represented in terms of the force constants of the carbon bonds found in molecular mechanics. Based on this modeling concept, finite element models of both armchair and zigzag types of carbon nanotubes with different sizes are established and the mechanical properties of these tubes are then effectively predicted. Most of the computed results which can be compared with existing results show good agreement. Moreover, the effects of tube diameter, length etc., on the mechanical properties are also investigated.

scholarly journals In Silico Tissue Engineering: A Coupled Agent-Based Finite Element Approach

2019 ◽  
Vol 25 (11) ◽  
pp. 641-654
Author(s):  
Maziyar Keshavarzian ◽  
Clark A. Meyer ◽  
Heather N. Hayenga
Keyword(s):  
Tissue Engineering ◽  
Finite Element ◽  
In Silico ◽  
Agent Based ◽  
Finite Element Approach ◽  
Element Approach

On the Effective Mechanical Properties of Fluid-Saturated Composites: A Homogenization Approach

2010 ◽  
Vol 654-656 ◽  
pp. 2273-2276
Author(s):  
Lian Hua Ma ◽  
Bernard F. Rolfe ◽  
Qing Sheng Yang ◽  
Chun Hui Yang
Keyword(s):  
Mechanical Properties ◽  
Effective Properties ◽  
Micromechanical Model ◽  
Fluid Pressure ◽  
Fluid Phase ◽  
Homogenization Theory ◽  
Small Scale ◽  
Multi Scale ◽  
Homogenization Approach ◽  
Effective Mechanical Properties

Composites containing saturated fluid are widely distributed in nature, such as saturated rocks, colloidal materials and biological cells. In the study to determine effective mechanical properties of fluid-saturated composites, a micromechanical model and a multi-scale homogenization-based model are developed. In the micromechanical model the internal fluid pressure is generated by applying eigenstrains in the domain of the fluid phase and the explicit expressions of effective bulk modulus and shear modulus are obtained. Meanwhile a multi-scale homogenization theory is employed to develop the homogenization-based model on determination of effective properties at the small scale in a unit cell level. Applying the two proposed approaches, the effects of the internal pressure of hydrostatic fluid on effective properties are further investigated.

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