CSAR Seminar
SPEAKER: Roman Arciniega, Texas A&M University
TITLE:
Tensor-Based Finite Element Model for the Nonlinear Analysis of Shell
Structures
DATE: Thursday, January 19, 2006
TIME: 11:00 A.M.
PLACE: 2240 DCL
1304 W. Springfield Ave., Urbana, IL
ABSTRACT
In the present study, we propose a computational model for the
nonlinear analysis of shell structures. We consider a tensor-based
finite element formulation which describes the mathematical shell model
in a natural and simple way by using curvilinear coordinates [1]. In
addition, we develop a family of high-order elements with Lagrangian
interpolations to avoid membrane and shear locking where no mixed
interpolations are required. The first-order shell theory with seven
parameters is derived with exact nonlinear deformations and under the
framework of the Lagrangian description. Finite displacements and
rotations (unlimited in size) are allowed. This approach takes into
account thickness changes and, therefore, 3D constitutive equations are
utilized. Numerical simulations and comparisons of the present results
with those found in the literature for typical benchmark problems
involving isotropic and laminated composites, as well as functionally
graded shells, are found to be excellent and show the validity of the
developed finite element model [2, 3]. Moreover, the simplicity of this
approach makes it attractive for future applications in different
topics of research, such as contact mechanics and damage propagation
of shells.
References
[1] R.A. Arciniega, J.N. Reddy, Tensor-based finite element formulation
for geometrically nonlinear analysis of shell structures, submitted to
CMAME.
[2] R.A. Arciniega, J.N. Reddy, Consistent third-order shell theory
with application to composite circular cylinders, AIAA J. 43 (9)
(2005) 2024-2038.
[3] J.N. Reddy, R.A. Arciniega, Shear deformation plate and shell
theories: From Stavsky to present, Mech. Advanced Mater. Struct. 11
(2004) 535-582.
Joint work with J. N. Reddy