Nonlinear finite element analysis is widely used for structural optimization of the design and the reliability analysis of complex elastomeric components.However,high-precision numerical results cannot be achieved wit...Nonlinear finite element analysis is widely used for structural optimization of the design and the reliability analysis of complex elastomeric components.However,high-precision numerical results cannot be achieved without reliable strain energy functions(SEFs)of the rubber or rubber nanocomposite material.Although hyperelastic constitutive models have been studied for nearly 80 years,selecting one that accurately describes rubber's mechanical response is still a challenge.This work reviews 85 isotropic SEFs based on both the phenomenological theory and the micromechanical network theory proposed from the 1940s to 2019.A fitting algorithm which can realize the automatic fitting optimization and determination of the parameters of all SEFs reviewed is developed.The ability of each SEF to reproduce the experimental data of both the unfilled and highly filled rubber nanocomposite is quantitatively assessed based on a new proposed evaluation index.The top 30 SEFs for the unfilled rubber and the top 14 SEFs for the highly filled rubber nanocomposite are presented in the ranking lists.Finally,some suggestions on how to select an appropriate hyperelastic constitutive model are given,and the perspective on the future progress of constitutive models is summarized.展开更多
为研究含能材料变泊松比粘弹力学行为,基于热流变简单材料假设,建立了一种采用时间相关泊松比的三维热粘弹性本构方程;利用积分算法对该本构进行数值离散,给出了相应的应力更新方法;基于 Abaqus 软件 UMAT 接口技术编制了相应材料子程序...为研究含能材料变泊松比粘弹力学行为,基于热流变简单材料假设,建立了一种采用时间相关泊松比的三维热粘弹性本构方程;利用积分算法对该本构进行数值离散,给出了相应的应力更新方法;基于 Abaqus 软件 UMAT 接口技术编制了相应材料子程序,完成了算例分析。结果表明,数值解与对应解析解吻合良好,并通过了合理性算例验证,分析方法及算法程序有效,可为后续三维装药精细结构完整性分析提供支持;粘弹材料泊松比具有时间相关性,其较小变化对计算结果影响显著,尤其是在短时加载或状态转变过程。展开更多
基金the National Key Research and Development Program of China(2018YFB1502501)the National Natural Science Foundation of China(52003024).
文摘Nonlinear finite element analysis is widely used for structural optimization of the design and the reliability analysis of complex elastomeric components.However,high-precision numerical results cannot be achieved without reliable strain energy functions(SEFs)of the rubber or rubber nanocomposite material.Although hyperelastic constitutive models have been studied for nearly 80 years,selecting one that accurately describes rubber's mechanical response is still a challenge.This work reviews 85 isotropic SEFs based on both the phenomenological theory and the micromechanical network theory proposed from the 1940s to 2019.A fitting algorithm which can realize the automatic fitting optimization and determination of the parameters of all SEFs reviewed is developed.The ability of each SEF to reproduce the experimental data of both the unfilled and highly filled rubber nanocomposite is quantitatively assessed based on a new proposed evaluation index.The top 30 SEFs for the unfilled rubber and the top 14 SEFs for the highly filled rubber nanocomposite are presented in the ranking lists.Finally,some suggestions on how to select an appropriate hyperelastic constitutive model are given,and the perspective on the future progress of constitutive models is summarized.
文摘为研究含能材料变泊松比粘弹力学行为,基于热流变简单材料假设,建立了一种采用时间相关泊松比的三维热粘弹性本构方程;利用积分算法对该本构进行数值离散,给出了相应的应力更新方法;基于 Abaqus 软件 UMAT 接口技术编制了相应材料子程序,完成了算例分析。结果表明,数值解与对应解析解吻合良好,并通过了合理性算例验证,分析方法及算法程序有效,可为后续三维装药精细结构完整性分析提供支持;粘弹材料泊松比具有时间相关性,其较小变化对计算结果影响显著,尤其是在短时加载或状态转变过程。
