Journal ArticleDOI
A consistent co‐rotational formulation for shells using the constant stress/constant moment triangle
X. Peng,M. A. Crisfield +1 more
TLDR
In this paper, the authors describe a technique whereby this facet-shell formulation is extended to handle geometric non-linearity by means of a co-rotational procedure, which is increment-independent with both the internal force vector and tangent stiffness matrix being derived from the total strain measures in a consistent manner.Abstract:
The facet-shell formulation involves the combination of the constant-strain membrane triangle with a constant-curvature bending triangle. The paper describes a technique whereby this facet-formulation is extended to handle geometric non-linearity by means of a co-rotational procedure. Emphasis is placed on the derivation of a technique that is increment-independent with both the internal force vector and tangent stiffness matrix being derived from the «total strain measures» in a «consistent manner».read more
Citations
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Journal ArticleDOI
A meshfree thin shell method for non‐linear dynamic fracture
TL;DR: In this article, a mesh-free method for thin shells with finite strains and arbitrary evolving cracks is described, and the C 1 displacement continuity requirement is met by the approximation, so no special treatments for fulfilling the Kirchhoff condition are necessary.
Journal ArticleDOI
Computational strategies for flexible multibody systems
Tamer M. Wasfy,Ahmed K. Noor +1 more
TL;DR: The status and some recent developments in computational modeling of flexible multibody systems are summarized in this article, where a number of aspects of flexible multi-body dynamics including: modeling of the flexible components, constraint modeling, solution techniques, control strategies, coupled problems, design, and experimental studies.
Journal ArticleDOI
Popular benchmark problems for geometric nonlinear analysis of shells
Kam Yim Sze,X. H. Liu,S. H. Lo +2 more
TL;DR: In this article, the results of geometric nonlinear benchmark problems of shells are presented in the form of load-deflection curves and the relative convergent difficulty of the problems are revealed by the number of load increments and the total number of iterations required by an automatic load increment scheme for attaining the converged solutions under the maximum loads.
Journal ArticleDOI
A survey of recent shell finite elements
TL;DR: A comprehensive survey of the literature on curved shell finite elements can be found in this article, where the first two present authors and Liaw presented a survey of such literature in 1990 in this journal.
Journal ArticleDOI
A unified co-rotational framework for solids, shells and beams
M.A. Crisfield,G.F. Moita +1 more
TL;DR: In this article, a unified framework for applying the co-rotational method to the analysis of solids, shells and beams is described, which allows a simpler formulation that is simpler than many of the earlier procedures and, in addition, gives a direct indication of the terms in the tangent stiffness which may be ignored.
References
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Journal ArticleDOI
A fast incremental/iterative solution procedure that handles "snap-through"
TL;DR: In this article, a modified version of the Newton-Raphson method is proposed to overcome limit points in the finite element method with a fixed load level and a constraint equation.
Journal ArticleDOI
An excursion into large rotations
TL;DR: In this article, the authors developed an enlarged exploration of the matrix formulation of finite rotations in space initiated in [1] and showed how a consistent but subtle matrix calculus inevitably leads to a number of elegant expressions for the transformation or rotation matrix T appertaining to a rotation about an arbitrary axis.
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On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory
TL;DR: In this article, a configuration update procedure for the director (rotation) field is developed, which is singularity free and exact regardless the magnitude of the rotation increment, and the exact linearization of the discrete form of the equilibrium equations is derived in closed form.