Elastic-plastic solution to stamping thin strip on elastic foundation
(1. School of Mechanical Engineering, Xiangtan University, Xiangtan 411105, China;
2. Key Laboratory of Advanced Materials and Rheological Properties of Ministry of Education,
Xiangtan University, Xiangtan 411105, China)
2. Key Laboratory of Advanced Materials and Rheological Properties of Ministry of Education,
Xiangtan University, Xiangtan 411105, China)
Abstract: An analytical method was proposed to solve the mechanical problems of stamping a thin strip on an elastic foundation. The thin strip was divided into four parts according to its deformation and contact with the punch and the elastic foundation, especially an elastic-plastic part was considered in the deflection of the thin strip. Analytical solutions were derived individually for each part and two models were established with the help of elastic and plastic large deflection theories. Compatibility conditions between the neighboring parts of the thin strip constructed the non-linear equation group. Solutions were carried out by programming with a software. The deformation shape, the membrane force, and the moment and shear force of the deformed thin strip were obtained. The results of the two models were compared. The study shows that the method is effective.
Key words: elastic-plastic solution; beam bending; thin strip stamping; contact mechanics