A pseudo-layered, elastic-plastic, flat-shell finite element

1999-05-04
A three-node, Co-type, layered flat-shell finite element is developed for the analysis of large elastic-plastic deformations in plate and shell structures. The system equations are derived by using virtual work principle and the updated Lagrangian formulation. Material is assumed to be isotropic and rate insensitive obeying J(2)-flow rule. The displacement field assumption of the MIN3 plate bending element is employed. A layered structure is used to model through-the-thickness distribution of elastic and plastic zones. The finite element results for three nonlinear plate bending problems are compared with experimental results to verify the accuracy of the formulation. (C) 1999 Elsevier Science S.A. All rights reserved.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Suggestions

A Mindlin plate finite element with semi-analytical shape design sensitivities
Oral, Süha (2000-11-01)
A hybrid-stress Mindlin plate finite element and its sensitivity derivatives are presented. The element is triangular and has a simple nodal configuration with three corner nodes and C-o type nodal variables. The use of independent field assumptions for displacements and stresses removes the necessity for an in-plane shear correction factor. The element can effectively be used as the bending part of facet shell elements. Its simplicity and accuracy makes it ideal for large-scale analysis and design problems...
Numerical simulation of thermal convection under the influence of a magnetic field by using solenoidal bases
Yarımpabuç, Durmuş; Tarman, Işık Hakan; Department of Engineering Sciences (2011)
The effect of an imposed magnetic field on the thermal convection between rigid plates heated from below under the influence of gravity is numerically simulated in a computational domain with periodic horizontal extent. The numerical technique is based on solenoidal basis functions satisfying the boundary conditions for both velocity and induced magnetic field. The expansion bases for the thermal field are also constructed to satisfy the boundary conditions. The governing partial differential equations are ...
On symplectic quotients of K3 surfaces
Cinkir, Z; Onsiper, H (Elsevier BV, 2000-12-18)
In this note, we construct generalized Shioda-Inose structures on K3 surfaces using cyclic covers and almost functoriality of Shioda-Inose structures with respect to normal subgroups of a given group of symplectic automorphisms.
Basis in nuclear Frechet spaces
Erkurşun, Nazife; Nurlu, Mehmet Zafer; Department of Mathematics (2006)
Existence of basis in locally convex space has been an important problem in functional analysis for more than 40 years. In this thesis the conditions for the existence of basis are examined. These thesis consist of three parts. The first part is about the exterior interpolative conditions. The second part deals with the inner interpolative conditions on nuclear frechet space. These are sufficient conditions on existence of basis. In the last part, it is shown that for a regular nuclear Köthe space the inner...
NORMAL SOLVABILITY OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS ON ASYMPTOTICALLY FLAT MANIFOLDS
ERKIP, AK; SCHROHE, E (Elsevier BV, 1992-10-01)
Normal solvability is shown for a class of boundary value problems on Riemannian manifolds with noncompact boundary using a concept of weighted pseudodifferential operators and weighted Sobolev spaces together with Lopatinski-Shapiro type boundary conditions. An essential step is to show that the standard normal derivative defined in terms of the Riemannian metric is in fact a weighted pseudodifferential operator of the considered class provided the metric is compatible with the symbols.
Citation Formats
H. Darendeliler and A. Turgut, “A pseudo-layered, elastic-plastic, flat-shell finite element,” COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, pp. 211–218, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54536.