Polynomial stress functions of anisotropic plane problems and their applications in hybrid finite elements

Acta Mechanica

Volumn 223, Issue 3, 2012, Pages 493-503

  Zhao, Ying Tao ^a   Wang, Min Zhong ^b   Chen, Yi ^a   Su, Yu ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC ELASTICITY; ANISOTROPIC PROBLEMS; EXCELLENT PERFORMANCE; EXPLICIT FORM; GENERAL EXPRESSION; GOVERNING EQUATIONS; HOMOGENEOUS POLYNOMIALS; HYBRID ELEMENT; HYBRID FINITE ELEMENTS; MATERIAL CONSTANT; PLANE PROBLEM; STRESS FUNCTIONS; TRIAL FUNCTIONS;

ANISOTROPY; ELASTICITY;

POLYNOMIALS;

EID: 84858704783     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-011-0566-z     Document Type: Article

References (7)

1. X.-R. Fu S. Cen C.F. Li X.-M. Chen 2010 Analytical trial function method for development of new 8-node plane element based on the variational principle containing Airy stress function Eng. Comput. 27 4 442 463 10.1108/ 02644401011044568
2. Wang, M.-Z.; Xu, B.-X.; Zhao, Y.-T.: General representations of polynomial elastic fields. Accept by J. Appl. Mech-T. ASME (2011)
3. S. Cen X. Fu G. Zhou M. Zhou C. Li 2011 Shape-free finite element method: the plane hybrid stress-function (HS-F) element method for anisotropic materials Sci. China Phys. Mech. Astron. 54 4 653 665 10.1007/s11433-011-4272-6
4. Lekhnitskii S.G.: Anisotropic Plates. Gordon and Breach Science Publishers, New York (1968)
5. Vekua, I.N.: Generalized Analytic Functions, People's Eduction Press (Chinese) (Translated from Russian) (1960)
6. Lekhnitskii S.G.: Theory of Elasticity of an Anisotropic Body. Mir Publishers, Moscow (1981)
7. Brown J.W.; Churchill R.V.: Complex Variables and Applications. McGraw Hill Book Co.; New York (2003)