Shakedown reduced kinematic formulation, separated collapse modes, and numerical implementation

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Tran, T. D.¹  Le, C. V.²  Pham, D. C.³  Nguyen-Xuan, H.^4,5 

[1] Ho Chi Minh City Open Univ, Fac Construct & Elect, Ho Chi Minh City, Vietnam

[2] Int Univ VNU HCMC, Dept Civil Engn, Ho Chi Minh City, Vietnam

[3] Inst Mech VAST, Hanoi, Vietnam

[4] Duy Tan Univ, Da Nang, Vietnam

[5] Vietnamese German Univ, Dept Computat Engn, Binh Duong New City, Vietnam

关键词: Plastic collapse;    Shakedown;    Elastic-plastic material;    Cyclic loading;    Reduced kinematic formulation;    Incremental plasticity;    Alternating plasticity;    Second-order cone programming;   

DOI  :  10.1016/j.ijsolstr.2014.04.016

来源: Elsevier

【 摘 要 】

Our shakedown reduced kinematic formulation is developed to solve some typical plane stress problems, using finite element method. Whenever the comparisons are available, our results agree with the available ones in the literature. The advantage of our approach is its simplicity, computational effectiveness, and the separation of collapse modes for possible different treatments. Second-order cone programming developed for kinematic plastic limit analysis is effectively implemented to study the incremental plasticity collapse mode. The approach is ready to be used to solve general shakedown problems, including those for elastic-plastic kinematic hardening materials and under dynamic loading. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

Free