Dual Analysis by Finite Elements Linear and Non-Linear Applications.
Final scientific rept. Oct 68-Sep 70,
LIEGE UNIV (BELGIUM) LABORATOIRE DE TECHNIQUES AERONAUTIQUES ET SPATIALES
Pagination or Media Count:
FORCES, STRESSES, DEFORMATION, STRAINMECHANICS, STABILITY, EQUILIBRIUMPHYSIOLOGY, FORCEMECHANICS, NUMERICAL ANALYSISCOMPUTER AIDED ANALYSIS, SHELL THEORY, FINITE ELEMENT ANALYSISThe report presents the results obtained during the aforementioned period concerning the linear and non linear applications of the dual analysis technique. New formulation for finite element derivation are proposed including equilibrium, conforming and hybrid elements. A new method of solution of the structural problem is based on the stress function formulation. The slab analogies are used to discover additional finite element families. A useful complementary energy principle is derived for large deformations. The stability criterion is obtained from the second variation of the total energy. A non linear shell theory is presented which avoids the difficulties of defining the constitutive equations. A computer program for linear applications is documented. Author