T. J. R. Hughes and F. Brezzi, On drilling degrees of freedom, Comput. Methods Appl. Mech. Engrg., 72 (1989), pp. 105--121.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....here by ICT) and of the robust Ajiz Jennings incomplete factorization [1] 4.1 Shell examples In this subsection, we report on results of computations for some commonly used shell test problems. In these models, the drilling rotation is accomplished by using the Hughes Brezzi formulation [26] including an Allmantype displacement field [2] The plate bending part of the element is based on the stabilized MITC theory [36] or the discrete Kirchhoff concept. In the MITC formulation the stabilization parameter has been 0.4. The value of the regularizing penalty parameter fl used in the ....

....and of programming and numerical ill conditioning for certain types of element assemblages. Thus the presence of all three rotations at a node is advantageous from a practical point of view. Early attempts to construct membrane elements with drill rotations were unsuccessful. Hughes and Brezzi [26] presented a simple variational formulation, which employs an independent rotation field and is also stable in the discrete case. They also proved that elements based on their formulation are convergent for all standard interpolations including equal order interpolation for displacements and ....

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T. J. R. Hughes and F. Brezzi, On drilling degrees of freedom, Comput. Methods Appl. Mech. Engrg., 72 (1989), pp. 105--121.

.... defined at each finite element node. The tangential component t of still represent the rotation of the middle surface normal vector ( t = ru:n for thin shells satisfying the Kirchhoff assumption) and its normal component n is associated to an inplane rotation of the shell middle surface [3, 9, 10]. The mathematical theory could also be adapted to this case but the predicted speed of convergence of our algorithm will no longer be thickness independent. This is confirmed by numerical experience, cf. Tab. 5 and 4. RR n2635 14 Patrick Le Tallec , Jan Mandel. Marina Vidrascu 3. The ....

F. Brezzi and T. Hughes, On drilling degrees of freedom, Computer Methods Appl. Mech. Engrg, 72 (1994), pp. 105--121.

....the stress tensor variable. In the classical mixed methods, the approximate stress tensor is required to be symmetric [4, 13, 14, 16, 18] With the new formulation, this can be relaxed; that is, the stress tensor does not have to be symmetric. This relaxation is useful in some practical situations [15], where the stress tensor in variational principles employing independent rotation fields is not required to be symmetric, for example. The purpose of this paper is to analyze in detail the expanded mixed formulation for two families of mixed finite elements, the Herrmann Miyoshi and ....

T. Hughes and F. Brezzi, On drilling degrees of freedom, Comput. Methods Appl. Mech. Engrg. 72 (1989), 105--121.

.... defined at each finite element node. The tangential component t of still represent the rotation of the middle surface normal vector ( t = ru:n for thin shells satisfying the Kirchhoff assumption) and its normal component n is associated to an inplane rotation of the shell middle surface [3, 9, 10]. The mathematical theory could also be adapted to this case but the predicted rate of convergence of our algorithm will no longer be independent on the thickness. This is confirmed by numerical experience, cf. Tables 4 and 5. 3. The Neumann Neumann substructuring technique. 3.1. The interface ....

F. Brezzi and T. Hughes, On drilling degrees of freedom, Computer Methods Appl. Mech. Engrg, 72 (1994), pp. 105--121.

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