The problems on the non-uniqueness and stability of a two-family fiber- reinforced anisotropic incompressible hyper-elastic square sheet under equibiaxial tensile dead loading are examined within the framework of fini...The problems on the non-uniqueness and stability of a two-family fiber- reinforced anisotropic incompressible hyper-elastic square sheet under equibiaxial tensile dead loading are examined within the framework of finite elasticity. For a two-family fiber-reinforced square sheet, which is in-plane symmetric and subjected to the in-plane symmetric tension in dead loading on the edges, three symmetrically deformed configu- rations and six asymmetrically deformed configurations are possible for any values of the loading. Moreover, another four bifurcated asymmetrically deformed configurations are possible for the loading beyond a certain criticM value. The stability of all the solutions is discussed in comparison with the energy of the sheet. It is shown that only one of the symmetric solutions is stable when the loading is less than the critical value. However, this symmetric solution will become unstable when the loading is larger than the critical value, while one of the four bifurcated asymmetric solutions will be stable.展开更多
Dielectric elastomers(DEs)show complex mechanical behaviors with different boundary conditions,geometry sizes,and prestress.In this study,a three-component linear visco-hyperelastic model of DE film is developed based...Dielectric elastomers(DEs)show complex mechanical behaviors with different boundary conditions,geometry sizes,and prestress.In this study,a three-component linear visco-hyperelastic model of DE film is developed based on equibiaxial tension.By applying hereditary integrals to analyze multiple-segment loading processesof film stretching,the model parameters are extracted by fitting the visco-hyperelastic film model to the experimental data.To demonstrate the performance of proposed model,the obtained predictive results are compared with the experimental results under different equibiaxial loading conditions.The good agreement between them shows that the linear visco-hyperelastic model is a promising tool for analytically investigating the property of pre-stretched DE actuators.Finally,the Prony series coefficients are calculated according to the relaxation function.This is helpful for simulation analysis using commercial finite element software.展开更多
基金supported by the National Natural Science Foundation of China(No.10772104)the Shanghai Leading Academic Discipline Project(No.S30106)
文摘The problems on the non-uniqueness and stability of a two-family fiber- reinforced anisotropic incompressible hyper-elastic square sheet under equibiaxial tensile dead loading are examined within the framework of finite elasticity. For a two-family fiber-reinforced square sheet, which is in-plane symmetric and subjected to the in-plane symmetric tension in dead loading on the edges, three symmetrically deformed configu- rations and six asymmetrically deformed configurations are possible for any values of the loading. Moreover, another four bifurcated asymmetrically deformed configurations are possible for the loading beyond a certain criticM value. The stability of all the solutions is discussed in comparison with the energy of the sheet. It is shown that only one of the symmetric solutions is stable when the loading is less than the critical value. However, this symmetric solution will become unstable when the loading is larger than the critical value, while one of the four bifurcated asymmetric solutions will be stable.
基金supported by the Natural Science Fund for colleges and universities in Jiangsu Province (No.18KJB530012)Advanced Study of Professional Leaders in Higher Vocational College of Jiangsu Province (No.2019GRGDYX113)+2 种基金National Key Research and Development Program (No.2017YFB1300600)the Middle-aged & Young key teachers of Colleges and Universities of Jiangsu Province (Grant:2016-15)PhD Foundation of Nanjing Institute of Information Technology (No.YB20160201)
文摘Dielectric elastomers(DEs)show complex mechanical behaviors with different boundary conditions,geometry sizes,and prestress.In this study,a three-component linear visco-hyperelastic model of DE film is developed based on equibiaxial tension.By applying hereditary integrals to analyze multiple-segment loading processesof film stretching,the model parameters are extracted by fitting the visco-hyperelastic film model to the experimental data.To demonstrate the performance of proposed model,the obtained predictive results are compared with the experimental results under different equibiaxial loading conditions.The good agreement between them shows that the linear visco-hyperelastic model is a promising tool for analytically investigating the property of pre-stretched DE actuators.Finally,the Prony series coefficients are calculated according to the relaxation function.This is helpful for simulation analysis using commercial finite element software.
