Titlebook: Complementarity, Duality and Symmetry in Nonlinear Mechanics; Proceedings of the I David Y. Gao Conference proceedings 2004 Springer Scienc

BILIO

Duality, Complementarity, and Polarity in Nonsmooth/Nonconvex Dynamics,and the associated bi-duality and triality theories proposed recently in nonconvex variational problems are generalized into fully nonlinear dissipative dynamical systems governed by nonsmooth constitutive laws and boundary conditions. It is shown that by this method, nonsmooth and nonconvex Hamilto

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Brain-Waves

Duality in Kinematic Approaches of Limit and Shakedown Analysis of Structures,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 r

武器

Dual Variational Principles for the Free-Boundary Problem of Cavitated Bearing Lubrication,n with variable domain, resulting in a pair of dual variational principle families for it. In this way, a new rigorous and sound theoretical foundation for the finite element analysis of the cavitated bearing lubrication problem is founded.

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