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

## TL;DR

This paper introduces a NURBS-based inverse analysis method that accurately reconstructs nonlinear deformations and loads of thin shell structures, capturing buckling and snapping phenomena for improved manufacturing processes.

## Contribution

It combines NURBS-based inverse analysis with nonlinearities to recover deformations and loads, enabling precise shape reconstruction of shell structures.

## Key findings

- Accurately recovers target shell shapes
- Captures buckling and snapping instabilities
- Demonstrates applicability in manufacturing

## 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.