A NURBS-based Inverse Analysis for Reconstruction of Nonlinear Deformations of Thin Shell Structures

Abstract

This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by gradient-based optimization algorithms based on computed and measured displacements at a number of discrete locations. The proposed method allows accurately recovering the target shape of shell structures such that instabilities due to snapping and buckling are captured. The results obtained show good performance and applicability of the proposed algorithms to computer-aided manufacturing of shell structures.

References in corpus (3)

• A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries
• Morphing of Geometric Composites via Residual Swelling
• A stabilized finite element formulation for liquid shells and its application to lipid bilayers

Cited by in corpus (3)

• The multiplicative deformation split for shells with application to growth, chemical swelling, thermoelasticity, viscoelasticity and elastoplasticity
• Nonlinear material identification of heterogeneous isogeometric Kirchhoff-Love shells
• An isogeometric finite element formulation for boundary and shell viscoelasticity based on a multiplicative surface deformation split