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Shells are ubiquitous thin structures that can undergo large nonlinearelastic deformations while exhibiting combined modes of bending and stretching,and have profound modern applications. In this paper, we have proposed a newIsogeometric formulation, based on classical Koiter nonlinear shell theory, tostudy instability problems like wrinkling and buckling in thin shells. The useof NURBS-basis provides rotation-free, conforming, higher-order spatialcontinuity, such that curvatures and membrane strains can be computed directlyfrom the interpolation of the position vectors of the control points. A pseudo,dissipative and discrete, dynamical system is constructed, and staticequilibrium solutions are obtained by the method of dynamic relaxation (DR). Ahigh-performance computing-based implementation of the DR is presented, and theproposed formulation is benchmarked against several existing numerical, andexperimental results. The advantages of this formulation, over traditionalfinite element approaches, in assessing structural response of the shells arepresented.

Isogeometric Analysis of Elastic Sheets Exhibiting Combined Bending and Stretching using Dynamic Relaxation