TY - GEN
T1 - Refined and higher-order shell elements for the analysis of shell structures
AU - Reddy, J. N.
AU - Arciniega, Román A.
PY - 2006
Y1 - 2006
N2 - In this paper we propose a refined finite element for the analysis of shell structures. A tensor-based finite element formulation that describes the mathematical shell model in a natural and simple way by using curvilinear coordinates is developed and implemented. A family of higher-order elements with Lagrangian interpolations is used to avoid membrane and shear locking, without resorting to mixed or assumed strain formulations. The formulation can be specialized to different shell theories by making appropriate kinematic approximations. For geometrically nonlinear analysis of shells, we use a first-order shell theory with seven parameters with exact nonlinear deformations and under the framework of the Lagrangian description. The theory takes into account thickness stretching and, therefore, 3D constitutive equations are utilized. Numerical simulations and comparisons of the present results with those found in the literature for benchmark problems involving isotropic and laminated composites, as well as functionally graded shells, are found to be excellent and show the accuracy and robustness of the developed shell element.
AB - In this paper we propose a refined finite element for the analysis of shell structures. A tensor-based finite element formulation that describes the mathematical shell model in a natural and simple way by using curvilinear coordinates is developed and implemented. A family of higher-order elements with Lagrangian interpolations is used to avoid membrane and shear locking, without resorting to mixed or assumed strain formulations. The formulation can be specialized to different shell theories by making appropriate kinematic approximations. For geometrically nonlinear analysis of shells, we use a first-order shell theory with seven parameters with exact nonlinear deformations and under the framework of the Lagrangian description. The theory takes into account thickness stretching and, therefore, 3D constitutive equations are utilized. Numerical simulations and comparisons of the present results with those found in the literature for benchmark problems involving isotropic and laminated composites, as well as functionally graded shells, are found to be excellent and show the accuracy and robustness of the developed shell element.
KW - 3-D constitutive relations
KW - Functionally graded shells
KW - High-order finite elements
KW - Multilayered composites
KW - Nonlinear shell theory
UR - https://www.scopus.com/pages/publications/84886677278
M3 - Contribución a la conferencia
AN - SCOPUS:84886677278
SN - 9748257223
SN - 9789748257228
T3 - Emerging Trends: Keynote Lectures and Symposia - Proceedings of the 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010
SP - 101
EP - 106
BT - Emerging Trends
T2 - 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010
Y2 - 3 August 2006 through 5 August 2006
ER -