DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

Improved eight-node finite elementof the continuous medium

Vestnik MGSU 3/2013
  • Agapov Vladimir Pavlovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Applied Mechanics and Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; +7 (495) 583-47-52; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vasil’ev Aleksey Viktorovich - Rodnik Limited Liability Company design engineer, Rodnik Limited Liability Company, 22 Kominterna St., Tver, 170000, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 41-45

Solid eight-node finite elements are widely used in practical design in spite of the fact that numerous curvilinear finite elements having multiple nodes are developed. This element is suitable for nonlinear calculations if characteristics of a structure are subject to numerous alterations. Therefore, it is preferable that all calculations were simple. An eight-node element meets this requirement. A standard linear shape function is used by many software programmes to construct this element. Strains and stresses remain constant within the limits of the above element.The authors have developed and implemented a solid eight-node isoparametric finite element using PRINS software. The element developed by the authors has improved bending properties. A quadratic out-of-node shape function was used to improve the bending properties of the element. Principal formulas and testing results are provided. Numerical results confirm the accuracy and effectiveness of the element developed by the authors.

DOI: 10.22227/1997-0935.2013.3.41-45

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