THE FINITE ELEMENT ANALYSIS OF PHYSICALLY AND KINEMATICALLY NONLINEAR ELASTIC SOLIDS,
CALIFORNIA UNIV BERKELEY STRUCTURAL ENGINEERING LAB
Pagination or Media Count:
A displacement formulation of the finite element method is applied to the analysis of physically and kinematically nonlinear elastic solids. The physical nonlinearity is represented by an approximate polynomial form of the strain energy function in a region about the natural unstressed state of the material. Solutions to the nonlinear equations are obtained through a variety of linearization techniques. Several such techniques, based on either a sequence of linear iterations or a sequence of linear increments, are compared with respect to computational efficiency.