RETRACTED: Triality theory and complete post-buckling solutions of large deformed beam by canonical dual finite element method
Authors: Cai Kun , Gao David Y , Qin Qing H 
Published: July 2015

The following article has been included in a multiple retraction:

Triality Theory and Complete Post-buckling Solutions of Large Deformed Beam by Canonical Dual Finite Element Method; Kun Cai, David Y Gao, Qinghua Qin.

http://mms.sagepub.com/content/early/2015/06/28/1081286515591085.abstract

In 2015 SAGE were made aware of concerns regarding the Special Issue of Mathematics & Mechanics of Solids on Advances in Canonical Duality Theory, guest-edited by Professor David Gao.

At the request of the Guest Editor, the Special Issue has been retracted, due to conflict of interest regarding Professor Gao’s role as Guest Editor and co-author on a number of submitted papers. In addition the peer review process was less rigorous than the journal requires. The Guest Editor takes full responsibility for the retraction.

The following articles that were due to appear in the Special Issue have therefore been retracted:

Canonical Duality-Triality: Bridge between Nonconvex Analysis/Mechanics and Global Optimization in complex systems; David Y Gao, Ning Ruan, and Vittorio Latorre.

http://mms.sagepub.com/content/early/2015/02/24/1081286514566533.abstract

Canonical Dual Approach for Contact Mechanics Problems with Friction; Vittorio Latorre, Simone Sagratella, David Y Gao.

http://mms.sagepub.com/content/early/2015/01/20/1081286514566534.abstract

Canonical Duality Theory for Solving Non-Monotone Variational Inequality Problems; Guoshan Liu, David Y Gao, Shouyang Wang.

http://mms.sagepub.com/content/early/2015/02/04/1081286514566535.abstract

Double Well Potential Function and Its Optimization in The n-dimensional Real Space. Part I; Shu-Cherng Fang, David Y Gao, Gang-Xuan Lin, Ruey-Lin Sheu, Wen-Xun Xing.

http://mms.sagepub.com/content/early/2015/02/24/1081286514566704.abstract

Double Well Potential Function and Its Optimization in The n-dimensional Real Space. Part II; Yong Xia, Ruey-Lin Sheu, Shu-Cherng Fang, Wenxun Xing.

http://mms.sagepub.com/content/early/2015/02/09/1081286514566723.abstract

Analytic Solutions to 3-D Finite Deformation Problems Governed by St Venant-Kirchhoff Material; David Y Gao and E. Hajilarov.

http://mms.sagepub.com/content/early/2015/07/06/1081286515591084.abstract

Triality Theory and Complete Post-buckling Solutions of Large Deformed Beam by Canonical Dual Finite Element Method; Kun Cai, David Y Gao, Qinghua Qin.

http://mms.sagepub.com/content/early/2015/06/28/1081286515591085.abstract

Global Solutions to Spherically Constrained Quadratic Minimization via Canonical Duality Theory; Yi Chen, David Y Gao.

http://mms.sagepub.com/content/early/2015/04/08/1081286515577122.abstract

Unified Canonical Duality Methodology for Global Optimization; Vittorio Latorre, David Y Gao and N. Ruan.

http://mms.sagepub.com/content/early/2015/07/06/1081286515591305.abstract

A Framework of Canonical Dual Algorithms for Global Optimization; Xiaojun Zhou, David Y Gao, Chunhua Yang.

http://mms.sagepub.com/content/early/2015/07/22/1081286515592190.abstract

Canonical Duality Theory for Solving Nonconvex/Discrete Constrained Global Optimization Problems; Ning Ruan, David Y Gao.

http://mms.sagepub.com/content/early/2015/07/08/1081286515591087.abstract

Global Optimization Solutions to a Class of Non-convex Quadratic Minimization Problems with Quadratic Constraints; Yubo Yuan.

http://mms.sagepub.com/content/early/2015/07/06/1081286515591086.abstract

On Minimal Distance between Two Non-Convex Surfaces; Daniel Morales-Silva, David Y Gao.

http://mms.sagepub.com/content/early/2015/07/27/1081286515592949.abstract

The Editor-in-Chief and SAGE strive to uphold the very highest standards of publication ethics and are committed to supporting the high standards of integrity of Mathematics & Mechanics of Solids. Authors, reviewers, editors and interested readers are encouraged to consult SAGE’s ethics statements and the Committee on Publication Ethics (COPE) website for guidelines on publication ethics.