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An improved dynamic model for a silicone material beam with large deformation

查看全文 作  者:Qiping [1]Xu;Jinyang [1]Liu 高影响力作者 机构地区:[1]Department of Engineering Mechanics, School of Naval Architecture, Ocean and Civil Engineering,Shanghai Jiao Tong University高影响力机构 出  处:《Acta Mechanica Sinica》索引2018年第34卷第4期,共10页高影响力期刊 基  金:supported by the National Natural Science Foundation of China (11772186 and 11272203) 摘  要:Dynamic modeling for incompressible hyperelastic materials with large deformation is an important issue in biomimetic applications. The previously proposed lower-order fully parameterized absolute nodal coordinate formulation(ANCF) beam element employs cubic interpolation in the longitudinal direction and linear interpolation in the transverse direction, whereas it cannot accurately describe the large bending deformation. On this account, a novel modeling method for studying the dynamic behavior of nonlinear materials is proposed in this paper. In this formulation, a higher-order beam element characterized by quadratic interpolation in the transverse directions is used in this investigation. Based on the Yeoh model and volumetric energy penalty function, the nonlinear elastic force matrices are derived within the ANCF framework. The feasibility and availability of the Yeoh model are verified through static experiment of nonlinear incompressible materials. Furthermore,dynamic simulation of a silicone cantilever beam under the gravity force is implemented to validate the superiority of the higher-order beam element. The simulation results obtained based on the Yeoh model by employing three different ANCF beam elements are compared with the result achieved from a commercial finite element package as the reference result. It is found that the results acquired utilizing a higher-order beam element are in good agreement with the reference results,while the results obtained using a lower-order beam element are different from the reference results. In addition, the stiffening problem caused by volumetric locking can be resolved effectively by applying a higher-order beam element. It is concluded that the proposed higher-order beam element formulation has satisfying accuracy in simulating dynamic motion process of the silicone beam. 关 键 词:硅酮材料 动态模型 横梁 有限元素 线性插值 不可压缩 动态模拟 非线性
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