以粘超弹理论为基础,将L M Yang等提出的本构模型中Rivlin函数改进为Yeoh,提出了一种基于Yeoh函数的描述橡胶材料中高应变率效应的粘超弹本构模型,该模型以左Cauchy变形张量B第一不变量I1B作为唯一变量,简化了原模型结构,并开发了相应...以粘超弹理论为基础,将L M Yang等提出的本构模型中Rivlin函数改进为Yeoh,提出了一种基于Yeoh函数的描述橡胶材料中高应变率效应的粘超弹本构模型,该模型以左Cauchy变形张量B第一不变量I1B作为唯一变量,简化了原模型结构,并开发了相应模型的ABAQUS软件材料用户子程序(VUMAT)。通过高应变率橡胶垫片及中低应变率橡胶缓冲器的冲击试验与数值仿真对比,验证了本构模型及材料用户子程序的有效性与实用性。展开更多
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 for...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.展开更多
文摘以粘超弹理论为基础,将L M Yang等提出的本构模型中Rivlin函数改进为Yeoh,提出了一种基于Yeoh函数的描述橡胶材料中高应变率效应的粘超弹本构模型,该模型以左Cauchy变形张量B第一不变量I1B作为唯一变量,简化了原模型结构,并开发了相应模型的ABAQUS软件材料用户子程序(VUMAT)。通过高应变率橡胶垫片及中低应变率橡胶缓冲器的冲击试验与数值仿真对比,验证了本构模型及材料用户子程序的有效性与实用性。
基金supported by the National Natural Science Foundation of China (11772186 and 11272203)
文摘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.
