Events Calendar

NONLINEAR ANALYSIS OF COMPOSITE AND FUNCTIONALLY GRADED SHELL STRUCTURES

JOINT SEMINAR FOR AME & CIVIL ENGINEERINGSPEAKER: J. N. Reddy,
Advanced Computational Mechanics Laboratory,
Texas A & M University, College Station, TX 77843-3123
jnreddy@tamu.eduABSTRACT
A tensor-based finite element formulation for the nonlinear analysis of laminated shell structures and through-thickness functionally graded shells will be discussed. A tensor-based finite element formulation is used to describe the deformation and 3-D constitutive laws of a shell in a natural and simple way by using curvilinear coordinates. In addition, a family of high-order elements with Lagrangian interpolations is used to avoid membrane and shear locking. A first-order shell theory with seven parameters is derived with exact nonlinear deformations and under the framework of the Lagrangian description. This approach takes into account thickness changes and, therefore, 3D constitutive equations are utilized. Numerical comparisons of the present results with those found in the literature for typical benchmark problems involving isotropic and laminated composite plates and shells as well as functionally graded plates and shells are found to be excellent and show the validity of the developed finite element model. Moreover, the simplicity of this approach makes it attractive for applications in contact mechanics and damage propagation in shells. A number of examples of applications to laminated composite shell structures are presented.Keywords: Finite element model, nonlinear shell theory, multilayered composites, functionally graded shells, numerical examples.Acknowledgement. The research results reported herein were obtained while the authors were supported by the Structural Dynamics Program of the Army Research Office (ARO) through Grant . 45508EG.References
1. R. A. Arciniega and J. N. Reddy, "Tensor-based Finite Element Formulation for Geometrically Nonlinear Analysis of Shell Structures," Computer Methods in Applied Mechanics and Engineering, Vol. 196, Nos. 4-6, pp. 1048-1073, 2007.
2. R. A. Arciniega and J. N. Reddy, "Large deformation analysis of functionally graded shells," International Journal of Solids and Structures, Vol. 44, pp. 2036-2052, 2007.
3. J.N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd edition, CRC Press, Boca Raton, Florida, 2004.

Location: Kaprielian Hall (KAP) - RIELLIAN HALL, 203

Audiences: Everyone Is Invited

Contact: Evangeline Reyes