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

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Generalized Legendre-Fenchel Transformation, consists in “geometrizing” the condition for the existence of a potential. Having at hand this formulation, it becomes clear that the canonical similitudes represents the class of transformations that preserves the potential form of a relationship. Next, we derive the conditions under which canonic
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A Robust Variational Formulation for a Rod Subject to Inequality Constraints,hod is applied to a simple model for a drill string. Special boundary conditions are considered which allow the results to be compared with known (planar) results in the literature. The agreement is found to be good. An interesting dependence of the post-buckling behaviour on the boundary conditions
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Computing FEM Solutions of Plasticity Problems via Nonlinear Mixed Variational Inequalities,on-differentiable variational inequality of the second type that is discretized by means of a truly mixed finite-element scheme. The non-differentiability of the dissipation functional is coped with via regularization whereas the nonlinearity is approached with a fixed-point iterative strategy. Nume
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Advances in Mechanics and Mathematicshttp://image.papertrans.cn/c/image/231293.jpg
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Implications and Concluding Remarks,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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https://doi.org/10.1007/978-3-658-07684-9 small concentration is charged, and subsequently applied to disordered ferroelectric crystals. Beginning with a canonical dual transformation method, a triality theorem is developed for solving the non-convex variational problem associated with LG equation. The approach allows for an exact solution
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Ziele einer Sponsoring-Politik,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
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