Lower bound limit analysis by quadrilateral elements

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:315

Article

Li, Chunguang¹  Sun, Cong³  Li, Cuihua^1,2  Zheng, Hong¹ 

[1] Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China

[2] Hubei Water Resources Tech Coll, Wuhan 430202, Peoples R China

[3] Wuhan Municipal Construct Grp Co Ltd, Wuhan 430023, Peoples R China

关键词: Limit analysis;    Lower bound;    Finite element;    Quadrilateral element;    Week form;    Boundary integral;   

DOI  :  10.1016/j.cam.2016.11.024

来源: Elsevier

【 摘 要 】

This paper presents a quadrilateral element formulation of lower bound theorem. The formulation uses a four-noded quadrilateral element. The weak form of the equilibrium equations is performed to linearize the equilibrium equations. By Green's theorem, the integral over quadrilateral element are transformed into boundary integral over the element boundary. The major advantage of using quadrilateral element, rather than triangular element, is that more accurate lower bound can be obtained with the same element size. Two numerical examples are given to illustrate the capability of the new method for computing lower bound. The accuracy of the quadrilateral element formulation is compared with that of three-noded triangular element formulation in detail. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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