Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: shear locking

Sortuj według:

Ogranicz wyniki do:

Extended penalty coefficients for elimination the locking effects in moderately thick beam and plate finite elements

Gilewski W.

Archives of Civil Engineering

2014

Vol. 60, nr 3

367--385

The present paper is dedicated to presentation and energy verification of the methods of stabilization the strain energy by penalty coefficients. Verification of the methods is based on the consistency and ellipticity conditions to be satisfied by the finite elements. Three methods of stabilization are discussed. The first does not satisfy the above requirements. The second is consistent but cannot eliminate parasitic energy terms. The third method, proposed by the author, is based on the decomposition of the element stiffness matrix. The method can help to eliminate locking of the finite elements. For two-noded beam element with linear shape functions and exact integration a stabilized free of locking (and elliptical) element is received (equivalent to reduced integration element). Two plate finite elements are analyzed: four-noded rectangular element and DSG triangle. A new method of stabilization with the use of four independent parameters is proposed. The finite elements with this kind of stabilization satisfy the consistency condition. In the rectangular element it was not possible to eliminate one parasitic term of energy which appears during the procedure. For DSG triangle all parasitic terms of energy are eliminated. The penalty coefficients depends on the geometry of the triangle.

A new high-precision triangular plate element

Manna M. C.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 2

361-382

This paper deals with the development of a new triangular finite element for bending analysis of isotropic rectangular plates by an explicit stiffness matrix. The first order shear deformation theory (FOSDT) is used to include the effect of transverse shear deformation. The element has eighteen nodes on the sides and six internal nodes. The geometry of the element is expressed by three linear shape functions of area coordinates. The formulation is displacement type and the use of area coordinates makes the shape functions for field variables to be expressed explicitly. No numerical integration is required to get the element stiffness matrix. The element has fifty-one degrees of freedom, which can be reduced to thirty-nine degrees of freedom by a standard static condensation of the degrees of freedom associated with the internal nodes. An interesting feature of the element is that it is not prone to shear locking. Numerical examples are presented to show the accuracy and convergence characteristics of the element.