Canonical Duality Theory: Unified Methodology for Multidisciplinary Study

Preface.- Canonical Duality-Triality Theory: Bridge Between Nonconvex Analysis/Mechanics and Global Optimization in Complex System.- Analytic Solutions to Large Deformation Problems Governed by Generalized Neo-Hookean Model.- Analytic Solutions to 3-D Finite Deformation Problems Governed by St Venant-Kirchhoff Material.- Remarks on Analytic Solutions and Ellipticity in Anti-Plane Shear Problems of Nonlinear Elasticity.- Canonical Duality Method for Solving Kantorovich Mass Transfer Problem.- Triality Theory for General Unconstrained Global Optimization Problems.- Canonical Duality Theory for Solving Non-Monotone Variational Inequality Problems.- Canonical Dual Approach for Contact Mechanics Problems with Friction.- Canonical Duality Theory for Solving Nonconvex/Discrete Constrained Global Optimization Problems.- On D.C. Optimization Problems.- Canonical Primal-Dual Method for Solving Non-convex Minimization Problems.- Unified Interior Point Methodology for Canonical Duality in Global Optimization.- Canonical Duality Theory for Topology Optimization.- Improved Canonical Dual Finite Element Method and Algorithm for Post Buckling Analysis of Nonlinear Gao Beam.- Global Solutions to Spherically Constrained Quadratic Minimization via Canonical Duality Theory.- Global Optimal Solution to Quadratic Discrete Programming Problem with Inequality Constraints.- Global Optimal Solution to Quadratic Discrete Programming Problem with Inequality Constraints.- On Minimal Distance Between Two Surfaces.