Nonlinear Quasi-Static and Transient Response Analysis of Shallow Shells: Formulations and Interior/Boundary Element Algorithms

by Jin-Dong Zhang, Georgia Inst of Technology, Atlanta, GA, USA,
S. N. Atluri, Georgia Inst of Technology, Atlanta, GA, USA,

Abstract: Nonlinear integral equations are derived for the representation of displacements of shallow shells undergoing moderately large, quasi-static or dynamic deformations. A combined interior/boundary element method based on these integral equations, and its implementation for the shell problem are discussed in detail. A 'tangent stiffness' iterative procedure is used to obtain the nonlinear solution. Numerical results are presented to demonstrate the efficiency and the accuracy by the present approach.

Subject Headings: Deformation (mechanics) | Boundary element method | Integrals | Integral equations | Dynamic structural analysis | Statics (mechanics) | Stiffening | Nonlinear analysis

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