80 citations · 273 across the 41 of their papers we have counts for
5 papers · 1 filter
Global Optimal Trajectory in Chaos and NP-Hardness
Vittorio Latorre, David Yang Gao
This paper presents a new canonical duality methodology for solving general nonlinear dynamical systems. Instead of the conventional iterative methods, the discretized nonlinear sy…
Duality in G. Saccomandi's Challenge on Analytical Solutions to Anti-plane Shear Problem in Finite Elasticity
David Yang Gao
This note is a response to recent challenge by showing basic mistakes in his conclusions. The proof is elementary, but leads to some fundamental results in correctly understanding…
Analytic Solutions to Large Deformation Problems Governed by Generalized Neo-Hookean Model
David Yang Gao
This paper addresses some fundamental issues in nonconvex analysis. By using pure complementary energy principle proposed by the author, a class of fully nonlinear partial diforere…
Remarks on Analytic Solutions in Nonlinear Elasticity and Anti-Plane Shear Problem
David Y. Gao
This paper revisits a well-studied anti-plane shear deformation problem formulated by Knowles in 1976 and analytical solutions in general nonlinear elasticity proposed by Gao since…
Analytic Solutions to 3-D Finite Deformation Problems Governed by St Venant-Kirchhoff Material
David Yang Gao, Eldar Hajilarov
This paper presents a detailed study on analytical solutions to a general nonlinear boundary-value problem in finite deformation theory. Based on canonical duality theory and the a…