Elasto/Visco-Plastic Dynamic Response of General Thin Shells to Blast Loads

抄録

The authors study an elasto/visco-plastic dynamic response of thin shells to strong blast loads, where a consideration is given to the viscosity of the material in the plastic range. The equations of motion and the relations between the strain and the displacement are derived from the Sanders nonlinear theory for thin shells. The constitutive relation for shell response is linear elastic, visco-plastic. In the linear elastic range Hooke's law is used. In the plastic range the elasto/visco-plastic equations by Fyfe based on the model developed by Perzyna are employed. The criterion for yielding used in this analysis is the von Mises yield theory. The fundamental equations are numerically solved by a method using finite difference in both space and time. As a numerical example an elliptical, cylindrical shell subjected to external impulsive loads is analyzed.