Fitting Theory and Method of Hyper-Elastic Materials’ Nonlinear Constitutive Relations Base on BP Neural Network

Bin Yang; Lihua Liu; Shao Kun Zhang

doi:10.4028/www.scientific.net/AMM.137.36

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An Experimental Research and Analysis of the Law of Explosive Stress Wave Propagation of Cylindrical Charge
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Failure Modes of Serially Isolated System under Large Deformation
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Fitting Theory and Method of Hyper-Elastic Materials’ Nonlinear Constitutive Relations Base on BP Neural Network
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 137Fitting Theory and Method of Hyper-Elastic...

Fitting Theory and Method of Hyper-Elastic Materials’ Nonlinear Constitutive Relations Base on BP Neural Network

Abstract:

Base on the principle of nonlinear calculation, the mechanical models and the method of models experiment, we have provided a numerical analysis method of fitting hyper-elastic material constitutive relations. The method educed material spacial constitutive relations expressed by tensor through strain energy theory. After that, deduced material uniaxis constitutive models and use BP neural network to fit coefficients. Constitutive relations are the base of material deformation research. However we just paid attention to deformation experimental result before, rather than theoretical analysis. The theoretical analysis method this paper researching is convenient and precise and scientific, so it has theoretical meaning and practical value.

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Periodical:

Applied Mechanics and Materials (Volume 137)

Pages:

36-41

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.137.36

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Online since:

October 2011

Authors:

Bin Yang, Lihua Liu, Shao Kun Zhang

Keywords:

Constitutive Relations, Hyper-Elastic, Nonlinear, Strain Energy, Tensor

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