Hyperelastic constitutive relationship for the strain-rate dependent behavior of shoulder and other joint cartilages

Paper

Thibbotuwawa, N., Oloyede, A., Senadeera, W. and Gu, Y. T.. 2014. "Hyperelastic constitutive relationship for the strain-rate dependent behavior of shoulder and other joint cartilages." Goh, James (ed.) 15th International Conference on Biomedical Engineering (ICBME 2013). Singapore 04 - 07 Dec 2013 Heidelberg, Germany. https://doi.org/10.1007/978-3-319-02913-9_65
Paper/Presentation Title

Hyperelastic constitutive relationship for the strain-rate dependent behavior of shoulder and other joint cartilages

Presentation TypePaper
AuthorsThibbotuwawa, N. (Author), Oloyede, A. (Author), Senadeera, W. (Author) and Gu, Y. T. (Author)
EditorsGoh, James
Journal or Proceedings TitleIFMBE Proceedings, Vol. 43 2014
ERA Conference ID60405
Journal Citation43, pp. 255-258
Number of Pages4
Year2014
Place of PublicationHeidelberg, Germany
ISBN9783319029122
9783319029139
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-319-02913-9_65
Web Address (URL) of Paperhttp://link.springer.com/book/10.1007/978-3-319-02913-9/page/4
Conference/Event15th International Conference on Biomedical Engineering (ICBME 2013)
International Conference on Biomedical Engineering (ICBME)
Event Details
15th International Conference on Biomedical Engineering (ICBME 2013)
Event Date
04 to end of 07 Dec 2013
Event Location
Singapore
Event Details
International Conference on Biomedical Engineering (ICBME)
ICBME
Abstract

Non-linear finite deformations of articular cartilages under physiological loading conditions can be attributed to hyperelastic behavior. This paper contains experimental results of indentation tests in finite deformation and proposes an empirical based new generalized hyperelastic constitutive model to account for strain-rate dependency for humeral head cartilage tissues. The generalized model is based on existing hyperelastic constitutive relationships that are extensively used to represent biological tissues in biomechanical literature. The experimental results were obtained for three loading velocities, corresponding to low (1x10-3 s-1), moderate and high strain-rates (1x10-1 s-1), which represent physiological loading rates that are experienced in daily activities such as lifting, holding objects and sporting activities. Hyperelastic material parameters were identified by non-linear curve fitting procedure. Analysis demonstrated that the material behaviour of cartilage can be effectively decoupled into strain-rate independent (elastic) and dependent parts. Further, experiments conducted using different indenters indicated that the parameters obtained are significantly affected by the indenter size,potentially due to structural inhomogeneity of the tissue. The hyperelastic constitutive model developed in this paper opens a new avenue for the exploration of material properties of cartilage tissues.

Keywordsarticular cartilage, constitutive relationship,hyperelasticity, strain-rate, cartilage material properties
ANZSRC Field of Research 2020401706. Numerical modelling and mechanical characterisation
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Byline AffiliationsQueensland University of Technology
Institution of OriginUniversity of Southern Queensland
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Adiletta, G., Russo, P., Senadeera, W. and Di Matteo, M.. 2016. "Drying characteristics and quality of grape under physical pretreatment." Journal of Food Engineering. 172, pp. 9-18. https://doi.org/10.1016/j.jfoodeng.2015.06.031
SPH-DEM approach to numerically simulate the deformation of three‑dimensional RBCs in non‑uniform capillaries
Polwaththe-Gallage, Hasitha-Nayanajith, Saha, Suvash C., Sauret, Emily, Flower, Robert, Senadeera, Wijitha and Gu, YuanTong. 2016. "SPH-DEM approach to numerically simulate the deformation of three‑dimensional RBCs in non‑uniform capillaries." BioMedical Engineering OnLine. 15 (2 (Supplement)), pp. 349-370. https://doi.org/10.1186/s12938-016-0256-0
Novel trends in numerical modelling of plant food tissues and their morphological changes during drying - a review
Rathnayaka Mudiyanselage, C. M., Karunasena, H. C. P., Gu, Y. T., Guan, L. and Senadeera, W.. 2017. "Novel trends in numerical modelling of plant food tissues and their morphological changes during drying - a review." Journal of Food Engineering. 194, pp. 24-39. https://doi.org/10.1016/j.jfoodeng.2016.09.002
An artificial neutral network (ANN) model for predicting biodiesel kinetic viscosity as a function of temperature and chemical compositions
Jahirul, M. L., Senadeera, W., Brooks, P., Brown, R. J., Situ, R., Pham, P. X. and Masri, A. R.. 2013. "An artificial neutral network (ANN) model for predicting biodiesel kinetic viscosity as a function of temperature and chemical compositions." Piantadosi, J., Anderssen, R. S. and Boland, J. (ed.) 20th International Congress on Modelling and Simulation (MODSIM2013). Adelaide, Australia 01 - 06 Dec 2013 Australia. Modelling and Simulation Society of Australia and New Zealand . https://doi.org/10.36334/modsim.2013.G6.jahirul
A variable diffusivity model for the drying of spherical food particulates
Walker, Lauren and Senadeera, Wijitha. 2014. "A variable diffusivity model for the drying of spherical food particulates." Applied Mechanics and Materials. 553, pp. 94-99. https://doi.org/10.4028/www.scientific.net/AMM.553.94
Optimisation of bio-oil extraction process from Beauty Leaf (Calophyllum inophyllum) oil seed as a second generation biodiesel source
Jahirul, M. I., Brown, J. R., Senadeera, W., Aswath, N., Laing, C., Leski-Taylor, J. and Rasul, M. G.. 2013. "Optimisation of bio-oil extraction process from Beauty Leaf (Calophyllum inophyllum) oil seed as a second generation biodiesel source." Procedia Engineering. 56, pp. 619-624. https://doi.org/10.1016/j.proeng.2013.03.168
Influence of drying conditions on the moisture diffusion and fluidization quality during multi-stage fluidized bed drying of bovine intestine for pet food
Senadeera, W., Alves-Filho, O. and Eikevik, T.. 2013. "Influence of drying conditions on the moisture diffusion and fluidization quality during multi-stage fluidized bed drying of bovine intestine for pet food." Food and Bioproducts Processing. 91 (C4), pp. 549-557. https://doi.org/10.1016/j.fbp.2013.08.008
Simulation of plant cell shrinkage during drying – a SPH–DEM approach
Karunasena, H. C. P., Senadeera, W., Brown, R. J. and Gu, Y. T.. 2014. "Simulation of plant cell shrinkage during drying – a SPH–DEM approach." Engineering Analysis with Boundary Elements. 44, pp. 1-18. https://doi.org/10.1016/j.enganabound.2014.04.004
Neutral and charged boron-doped fullerenes for CO2 adsorption
de Silva, Suchitra W., Du, Aijun, Senadeera, Wijitha and Gu, YuanTong. 2014. "Neutral and charged boron-doped fullerenes for CO2 adsorption." Beilstein Journal of Nanotechnology. 5, pp. 413-418. https://doi.org/10.3762/bjnano.5.49
Drying kinetics, quality changes and shrinkage of two grape varieties of Italy
Senadeera, W., Adiletta, G., Di Matteo, M. and Russo, P.. 2014. "Drying kinetics, quality changes and shrinkage of two grape varieties of Italy." Applied Mechanics and Materials. 553, pp. 362-366. https://doi.org/10.4028/www.scientific.net/AMM.553.362
A coupled SPH-DEM model for micro-scale structural deformations of plant cells during drying
Karunasena, H. C. P., Senadeera, W., Gu, Y. T. and Brown, R. J.. 2014. "A coupled SPH-DEM model for micro-scale structural deformations of plant cells during drying." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (15-16), pp. 3781-3801. https://doi.org/10.1016/j.apm.2013.12.004
Physio-chemical assessment of beauty leaf (Calophyllum inophyllum)as second-generation biodiesel feedstock
Jahirul, M. I., Brown, R. J., Senadeera, W., Ashwath, N., Rasul, M. G., Rahman, M. M., Hossain, Farhad M., Moghaddam, Lalehvash, Islam, M. A. and O'Hara, I. M.. 2015. "Physio-chemical assessment of beauty leaf (Calophyllum inophyllum)as second-generation biodiesel feedstock." Energy Reports. 1, pp. 204-215. https://doi.org/10.1016/j.egyr.2015.10.003
Investigation of the mechanical behavior of kangaroo humeral head cartilage tissue by a porohyperelastic model based on the strain-rate-dependent permeability
Thibbotuwawa, Namal, Oloyede, Adekunle, Senadeera, Wijitha, Li, Tong and Gu, YuanTong. 2015. "Investigation of the mechanical behavior of kangaroo humeral head cartilage tissue by a porohyperelastic model based on the strain-rate-dependent permeability." Journal of The Mechanical Behavior of Biomedical Materials. 51, pp. 248-259. https://doi.org/10.1016/j.jmbbm.2015.07.018
Estimation of biodiesel properties from chemical composition – an artificial neural network (ANN) approach
Jahirul, M. I., Senadeera, W., Brown, R. J. and Moghaddam, L.. 2014. "Estimation of biodiesel properties from chemical composition – an artificial neural network (ANN) approach." International Scientific Journal of Environmental Science. 3 (3), pp. 1-7.
Analysis of strain-rate dependent mechanical behavior of single chondrocyte: a finite element study
Gu, YuanTong, Nguyen, Trung Dung, Oloyede, Adekunle and Senadeera, Wijitha. 2014. "Analysis of strain-rate dependent mechanical behavior of single chondrocyte: a finite element study." International Journal of Computational Methods. 11 (1 (Supplement)), pp. 1344005-1. https://doi.org/10.1142/S0219876213440052
A particle based model to simulate microscale morphological changes of plant tissues during drying
Karunasena, H. C. P., Senadeera, W., Brown, R. J. and Gu, Y. T.. 2014. "A particle based model to simulate microscale morphological changes of plant tissues during drying." Soft Matter. 10 (29), pp. 5249-5268. https://doi.org/10.1039/c4sm00526k
A mesh free model for plant tissue deformations during drying
Karunasena, H. C. P., Senadeera, W., Brown, R. J. and Gu, Y. T.. 2014. "A mesh free model for plant tissue deformations during drying." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 55 (EMAC2013), pp. C110-C137.
The influence of abrasive pretreatment on hot air drying of grape
Adiletta, Giuseppina, Senadeera, Wijitha, Liguori, Loredana, Crescitelli, Alessio, Albanese, Donatella and Russo, Paula. 2015. "The influence of abrasive pretreatment on hot air drying of grape." Food and Nutrition Sciences. 6, pp. 355-364. https://doi.org/10.4236/fns.2015.63036
Numerical investigation of plant tissue porosity and its influence on cellular level shrinkage during drying
Karunasena, H. C. P., Gu, Y. T., Brown, R. J. and Senadeera, W.. 2015. "Numerical investigation of plant tissue porosity and its influence on cellular level shrinkage during drying." Biosystems Engineering. 132, pp. 71-87. https://doi.org/10.1016/j.biosystemseng.2015.02.002
Influence of drying conditions on the moisture diffusion during single stage and two stage fluidized bed drying of bovine intestine for pet food
Alves-Filho, O., Senadeera, W. and Eikevik, T.. 2013. "Influence of drying conditions on the moisture diffusion during single stage and two stage fluidized bed drying of bovine intestine for pet food." Goncharova-Alves, S., Alves-Filho, O. and Eikevik, T. M. (ed.) 6th Nordic Drying Conference (NDC2013). Copenhagen, Denmark 05 - 07 Jun 2013 Copenhagen, Denmark.
Drying condition effects on fluidization quality and fluidization velocity at initial and final stages of cubical particulates for pet food
Alves-Filho, O., Senadeera, W. and Eikevik, T.. 2013. "Drying condition effects on fluidization quality and fluidization velocity at initial and final stages of cubical particulates for pet food." Goncharova-Alves, S., Alves-Filho, O. and Eikevik, T. M. (ed.) 6th Nordic Drying Conference (NDC2013). Copenhagen, Denmark 05 - 07 Jun 2013 Copenhagen, Denmark.
Application of meshfree methods to numerically simulate microscale deformations of different plant food materials during drying
Karunasena, H. C. P., Brown, R. J., Gu, Y. T. and Senadeera, W.. 2015. "Application of meshfree methods to numerically simulate microscale deformations of different plant food materials during drying." Journal of Food Engineering. 146, pp. 209-226. https://doi.org/10.1016/j.jfoodeng.2014.09.011
The use of artificial neural networks for identifying sustainable biodiesel feedstocks
Jahirul, Mohammed I., Brown, Richard J., Senadeera, Wijitha, O'Hara, Ian M. and Ristovski, Zoran D.. 2013. "The use of artificial neural networks for identifying sustainable biodiesel feedstocks." Energies. 6 (8), pp. 3764-3806. https://doi.org/10.3390/en6083764
Scanning electron microscopic study of microstructure of gala apples during hot air drying
Karunasena, H. C. P., Hesami, P., Senadeera, W., Gu, Y. T., Brown, R. J. and Oloyede, A.. 2014. "Scanning electron microscopic study of microstructure of gala apples during hot air drying." Drying Technology: an international journal. 32 (4), pp. 455-468. https://doi.org/10.1080/07373937.2013.837479
Numerical investigation of case hardening of plant tissue during drying and its influence on the cellular-level shrinkage
Karunasena, H. C. P., Gu, Y.T., Brown, R. J. and Senadeera, W.. 2015. "Numerical investigation of case hardening of plant tissue during drying and its influence on the cellular-level shrinkage." Drying Technology: an international journal. 33 (6), pp. 713-734. https://doi.org/10.1080/07373937.2014.982759
Biodiesel production from non-edible beauty leaf (Calophyllum inophyllum) oil: process pptimization using response surface methodology (RSM)
Jahirul, Mohammad I., Koh, Wenyong, Brown, Richard J., Senadeera, Wijitha, O'Hara, Ian and Moghaddam, Lalehvash. 2014. "Biodiesel production from non-edible beauty leaf (Calophyllum inophyllum) oil: process pptimization using response surface methodology (RSM)." Energies. 7 (8), pp. 5317-5331. https://doi.org/10.3390/en7085317
Numerical Modeling of Morphological Changes of Food Plant Materials during Drying
Karunasena, H. C. P. and Senadeera Wijitha. 2017. "Numerical Modeling of Morphological Changes of Food Plant Materials during Drying ." Zhang, Min, Bhandari, Bhesh and Fang, Zhongxiang (ed.) Handbook of Drying of Vegetables and Vegetable Products. United Kingdom. CRC Press. pp. 387-427
A constitutive model for mechanical response characterization of pumpkin peel and flesh tissues under tensile and compressive loadings
Shirmohammadi, Maryam, Yarlagadda, Prasad K. D. V. and Gu, YuanTong. 2015. "A constitutive model for mechanical response characterization of pumpkin peel and flesh tissues under tensile and compressive loadings ." Journal of Food Science and Technology. 52 (8), pp. 4874-4884. https://doi.org/10.1007/s13197-014-1605-2
Comprehensive Contribution of Filament Thickness and Crosslinker Failure to the Rheological Property of F-actin Cytoskeleton
Li, Tong, Liu, Ling, Hu, Dean, Oloyede, Adekunle, Xiao, Yin, Yarlagadda, Prasad and Gu, YuanTong. 2015. "Comprehensive Contribution of Filament Thickness and Crosslinker Failure to the Rheological Property of F-actin Cytoskeleton." Cellular and Molecular Bioengineering. 8 (2), pp. 278-284. https://doi.org/10.1007/s12195-015-0382-y
Trans-scale Granular Modelling of Cytoskeleton: a Mini-Review
Li, Tong, Yarlagadda, Prasad K. D. V., Oloyede, Adekunle, Thibbotuwawa, Namal and Gu, YuanTong. 2015. "Trans-scale Granular Modelling of Cytoskeleton: a Mini-Review." Molecular and Cellular Biomechanics. 12 (1), pp. 17-35. https://doi.org/10.3970/mcb.2015.012.017
Tensile properties of Si nanowires with faulted stacking layers
Zhan, Haifei, Gu, Yuantong, Yan, Cheng and Yarlagadda, Prasad K. D. V.. 2014. "Tensile properties of Si nanowires with faulted stacking layers." Science of Advanced Materials. 6 (7), pp. 1489-1492. https://doi.org/10.1166/sam.2014.1800
Molecular investigation of the mechanical properties of single actin filaments based on vibration analyses
Li, Tong, Gu, Y. T., Oloyede, Adekunle and Yarlagadda, Prasad K. D. V.. 2014. "Molecular investigation of the mechanical properties of single actin filaments based on vibration analyses." Computer Methods in Biomechanics and Biomedical Engineering: Imaging and Visualization. 17 (6), pp. 616-622. https://doi.org/10.1080/10255842.2012.706279
How to increase the accuracy of analysis and reduce the computational time in ANSYS in the case of deformation study of orthopedic bone plates
Malekani, Javad, Yarlagadda, Prasad K. D. V., Schmutz, Beat, Gu, YuanTong and Schuetz, Michael. 2014. "How to increase the accuracy of analysis and reduce the computational time in ANSYS in the case of deformation study of orthopedic bone plates." 3rd International Conference on Materials and Products Manufacturing Technology (ICMPMT 2013). China 25 - 26 Sep 2013 Scientific.Net. https://doi.org/10.4028/www.scientific.net/AMR.834-836.1592
Bending properties of Ag nanowires with pre-existing surface defects
Zhan, H. F., Gu, Y. T., Yan, C. and Yarlagadda, P. K. D. V.. 2014. "Bending properties of Ag nanowires with pre-existing surface defects." Computational Materials Science. 81, pp. 45-51. https://doi.org/10.1016/j.commatsci.2013.05.032
Studies on bending limitations for the optimal fit of orthopaedic bone plates
Malekani, J., Schmutz, B., Gudimetla, P., Gu, Y., Schuetz, M. and Yarlagadda, Prasad. 2013. "Studies on bending limitations for the optimal fit of orthopaedic bone plates." 2nd International Conference on Materials and Products Manufacturing Technology (ICMPMT 2012). 22 - 23 Sep 2012 Switzerland. https://doi.org/10.4028/www.scientific.net/AMR.602-604.1181
The Drying Constant and its Effect on the Shrinkage Constant of Different-Shaped Food Particulates
Senadeera, Wijitha. 2008. "The Drying Constant and its Effect on the Shrinkage Constant of Different-Shaped Food Particulates." International Journal of Food Engineering. 4 (8). https://doi.org/10.2202/1556-3758.1219
Drying constant and shrinkage constant relations of different shaped food particulates: empirical models
Senadeera, W.. 2008. "Drying constant and shrinkage constant relations of different shaped food particulates: empirical models." Thorat, B. N. and Mujumdar, A. S. (ed.) 16th International Drying Symposium (IDS 2008). Hyderabad, India 09 - 12 Nov 2008 https://doi.org/10.1080/07373930903221812
Fluidization characteristics of moist food particles
Senadeera, Wijitha, Wijesinghe, Bandu, Young, Gordon and Bhandari, Bhesh. 2006. "Fluidization characteristics of moist food particles." International Journal of Food Engineering. 2 (1), pp. 1-13. https://doi.org/10.2202/1556-3758.1047
Modeling dimensional shrinkage of shaped foods in fluidized bed drying
Senadeera, Wijitha, Bhandari, Bhesh R., Young, Gordon and Wijesinghe, Bandu. 2005. "Modeling dimensional shrinkage of shaped foods in fluidized bed drying." Journal of Food Processing and Preservation. 29 (2), pp. 109-119. https://doi.org/10.1111/j.1745-4549.2005.00017.x
Influence of shapes of selected vegetable materials on drying kinetics during fluidized bed drying
Senadeera, Wijitha, Bhandari, Bhesh R., Young, Gordon and Wijesinghe, Bandu. 2003. "Influence of shapes of selected vegetable materials on drying kinetics during fluidized bed drying." Journal of Food Engineering. 58 (3), pp. 277-283. https://doi.org/10.1016/S0260-8774(02)00386-2
Methods for effective fluidization of particulate food materials
Senadeera, Wijitha, Bhandari, Bhesh R., Young, Gordon and Wijesinghe, Bandu. 2000. "Methods for effective fluidization of particulate food materials." Drying Technology: an international journal. 18 (7), pp. 1537-1557. https://doi.org/10.1080/07373930008917792
Physical properties and fluidization behaviour of fresh green bean particulates during fluidized bed drying
Senadeera, W., Bhandari, B., Young, G. and Wijesinghe, B.. 2000. "Physical properties and fluidization behaviour of fresh green bean particulates during fluidized bed drying." Food and Bioproducts Processing. 78 (C1), pp. 43-47. https://doi.org/10.1205/096030800532707