An elasto-viscoplastic model to describe the ratcheting behavior of articular cartilage |
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Authors: | Yilin Zhu |
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Affiliation: | 1.School of Architectural and Civil Engineering,Chengdu University,Chengdu,People’s Republic of China;2.School of Electromechanical Automobile Engineering,Yantai University,Yantai,People’s Republic of China |
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Abstract: | In the present work, a constitutive model for articular cartilage is proposed in finite elasto-viscoplasticity. For simplification, articular cartilage is supposed to be a typical composite composed of a soft basis and a fiber assembly. The stress tensor and free energy function are hence accordingly divided into two components. The high nonlinear stress-strain response is assumed to be mainly related to the fiber assembly and described by an exponential-type hypoelastic relation. Ratcheting is considered according to the viscoplasticity, the evolution rule of which is deduced from the dissipative inequality by the co-directionality hypotheses. Then, the capability of the proposed model is validated by comparing its predictions with related experimental observations. Results show that the ratcheting behavior and stress-strain hysteresis loops are reasonably captured by the proposed model. |
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