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D. Robertson, D. Cook, "Hyperelasticity and the Failure of Averages", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 204, 2015. doi:10.4203/ccp.108.204

Keywords: average, coefficient, constitutive, error, fail, hyperelastic, material, model, nonlinear, properties, standard deviation, statistics.

Summary

Hyperelastic constitutive models are frequently used to characterize the stress-strain response of highly flexible materials. Literature surveys reveal most researchers report statistical quantities (e.g. mean and standard deviation) to describe and summarize hyperelastic coefficient values. However, statistical quantities are not appropriate for describing and summarizing coefficient values of hyperelastic constitutive models. Average coefficient values do not produce average behaviors and evaluating a hyperelastic constitutive model within one standard deviation of the mean coefficient values can produce extreme behavior that is at times completely unrealistic. The purpose of this paper is to address this issue, providing the theoretical background for this problem as well as examples and recommendations for avoiding this common pitfall.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 204 Hyperelasticity and the Failure of Averages D. Robertson and D. Cook New York University Abu Dhabi, Abu Dhabi, United Arab Emirates doi:10.4203/ccp.108.204 purchase the full-text of this paper Full Bibliographic Reference for this paper D. Robertson, D. Cook, "Hyperelasticity and the Failure of Averages", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 204, 2015. doi:10.4203/ccp.108.204 Keywords: average, coefficient, constitutive, error, fail, hyperelastic, material, model, nonlinear, properties, standard deviation, statistics. Summary Hyperelastic constitutive models are frequently used to characterize the stress-strain response of highly flexible materials. Literature surveys reveal most researchers report statistical quantities (e.g. mean and standard deviation) to describe and summarize hyperelastic coefficient values. However, statistical quantities are not appropriate for describing and summarizing coefficient values of hyperelastic constitutive models. Average coefficient values do not produce average behaviors and evaluating a hyperelastic constitutive model within one standard deviation of the mean coefficient values can produce extreme behavior that is at times completely unrealistic. The purpose of this paper is to address this issue, providing the theoretical background for this problem as well as examples and recommendations for avoiding this common pitfall. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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