1990 Volume 56 Issue 524 Pages 883-892
The present paper describes the theoretical treatment of the updated Lagrangian formulation expressed by quantities in the current configuration through mathematically equivalent transformation of the fundamental equations in the reference configuration. Since no subsidiary condition is imposed on the transformation, the obtained variational principle can employ the constitutive equation as it is. Discussed are the relative advantages of the total or updated Lagrangian approaches from the viewpoint of numerical analysis. Also derived are the work theorem and constitutive equation to ensure objective numerical integration in the moving as well as rotating coordinate system.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
Transactions of the Japan Society of Mechanical Engineers Series C
Transactions of the Japan Society of Mechanical Engineers Series B
