Strain-dependent internal parameters in hyperelastic biological materials |
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| Institution: | 1. School of Automotive Engineering, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, PR China;2. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China;1. BAE Systems, Bridge Road, Barrow-in-Furness LA14 1AF, UK;2. School of Engineering and Computing Sciences, Durham University Science Site, South Road, Durham DH1 3LE, UK;1. Department of Engineering Science, Institute of Biomedical Engineering, University of Oxford, UK;2. Department of Computer Science, University of Sheffield, UK;4. School of Mathematics and Statistics, University of Glasgow, UK;5. Department of Mechanical Engineering, University College London, UK |
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| Abstract: | The behavior of hyperelastic energies depending on an internal parameter, which is a function of the deformation gradient, is discussed. As an example, the analysis of two models where the parameter describes the activation of a tetanized skeletal muscle tissue is presented. In those models, the activation parameter depends on the strain and it is shown the importance of considering the derivative of the parameter with respect to the strain in order to capture the proper stress–strain relations. |
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| Keywords: | Hyperelasticity Skeletal muscle tissue Active strain Biomechanics |
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