Ebook: The Splitting Extrapolation Method: A New Technique in Numerical Solution of Multidimensional Problems

A systematic and comprehensive presentation of the results concerning effective behaviour of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the results concerning the averaging problems in the linear and nonlinear shell models. A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for engineering practice. When possible, the homogenization formulas are cast in closed form expressions. The formulas presented in this manner are then used in constructing regularized formulations of the fundamental optimization problems for plates and shells, since the regularization concepts are based on introducing the composite regions for which microstructural properties play the role of new design variables