Complementarity, duality and symmetry in nonlinear mechanics: DUALITY IN KINEMATIC APPROACHES OF LIMIT AND SHAKEDOWN ANALYSIS OF STRUCTURES

摘要

The paper describes the duality in limit and shakedown analysis of structures. Starting from Koiter's kinematic theorem, the primal-dual optimization condition is established by adopting static terms as complementary variables. A highly effective algorithm is developed with the use of displacement-based finite elements. Newton-like iterations are performed to give both upper and lower bounds of the load factor at every iteration, which converge rapidly to the accurate solution of shakedown limit.