An inversion methodology for the finite deformation of the curved beams based on the customized local strain sensing strategy

Due to the large geometric deformation capacity of curved beams, they are frequently employed as critical components in superstructure design and stretchable electronic technology. However, there is still a lack of an efficient method for monitoring and inverting the global deformation behavior of such structures under unknown loading conditions. In this study, the LIG-based customized strain sensors are used to capture the local strains of the curved beam structure. A finite deformation theory-based inversion framework is developed to reconstruct the large geometric deformation by correlating discrete strain measurements with the finite deformation analysis of the curved beams. This approach enables rapid inversion for the finite deformation of the curved beams under uniaxial tensile loads, and its validity has been confirmed by comparing with the experimental deformation results. The demonstration of global deformation inversion of lattice structures shows that this method provides direct and effective guidance for the design and optimization of mechanical metamaterial and stretchable electronic devices.