Inflated membrane structures are increasingly used as formwork of concrete shells and in aerospace fields, which have high requirements for forming accuracy and therefore need to be analyzed for precise forming. The elastic modulus of membrane material is actually affected by stress ratio and strain state: during initial tension of membrane fabric, elastic modulus is small at low strain levels and changes quickly as stress state changes and strain grows. Therefore, a linear material constitutive model is inadequate for the precise forming analysis of an inflated structure with highly designed internal pressure, which leads to a high stress-strain state and various stress ratios. In this paper, a nonlinear material constitutive model is proposed by formulating the change of elastic modulus as a nonlinear function about strain state coupled to a linear function of stress ratio, considering the combined impacts of both factors. Biaxial tensile tests are performed to determine the material property and develop the nonlinear material model. The precise forming analysis results with the proposed material model and three commonly used membrane material models are discussed and compared based on an inflation experiment of a spherical inflated membrane structure. The simulation with the proposed model basically exhibits a nonlinear variation law and a variance of less than 0.2 % throughout the inflation, demonstrating that the proposed material model has superior accuracy in predicting the forming shape of the inflated membrane structure.
Read full abstract