Efficient and accurate simulation of the packaging forming process

Research output: Contribution to journalArticle


To allow for large-scale forming applications, such as converting paperboard into package containers, efficient and reliable numerical tools are needed. In finite element simulations of thin structures, elements including structural features are required to reduce the computational cost. Solid-shell elements based on reduced integration with hourglass stabilization is an attractive choice. One advantage of this choice is the natural inclusion of the thickness, not present in standard degenerated shells, which is especially important for many problems involving contact. Furthermore, no restrictions are imposed on the constitutive models since the solid-shell element does not require the plane stress condition to be enforced. In this work, a recently proposed efficient solid-shell element is implemented together with a state-of-the-art continuum model for paperboard. This approach is validated by comparing the obtained numerical results with experimental results for paperboard as well as with those found by using 3D continuum elements. To show the potential of this approach, a large-scale forming simulation of paperboard is used as a proof of concept.


External organisations
  • Tetra Pak AB
  • Polytechnic University of Milan
  • Tetra Pak Packaging Solutions S.p.A, Italy
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Production Engineering, Human Work Science and Ergonomics
  • Paper, Pulp and Fiber Technology


  • forming, paperboard, solid-shell
Original languageEnglish
Pages (from-to)557-566
Number of pages10
JournalPackaging Technology and Science
Issue number8
Publication statusPublished - 2018 Aug 1
Publication categoryResearch