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May 17, 2026Current Research in Food Science0 citationsOpen Access

Phase field modelling of fracturing in frozen foods

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RSRuud van der Sman

Key Points

  • This research aims to evaluate the effectiveness of the fracture phase field method for simulating damage caused by freezing in frozen foods.
  • Applied fracture phase field modelling inspired by Griffith’s theory of fracture.
  • Used par-fried French fries as a case study, modelling them as a composite material of starch matrix and ice crystals.
  • Varied freezing temperature and crust thickness in simulations to compare against experimental observations.
  • At low ice fracture energy, macroscopic cracks were predicted at the crust-core interface, contrasting with actual experimental results.
  • Higher ice fracture energy led to predictions of only microdamage.
  • Simulations aligned well with experimental trends, particularly regarding dust formation.

Abstract

In this study, we assess the fracture phase field method for simulating freezing damage in frozen foods. Inspired by Griffith’s theory of fracture, this method enables explicit modelling of the nucleation and growth of cracks in brittle materials. Par-fried French fries are chosen as a case study, for which we have previously demonstrated experimentally that freezing damage occurs. The fries are modelled as a composite material consisting of a starch matrix with embedded ice crystals. Fracture properties of the starch matrix as a function of moisture content and temperature are taken from an earlier study on cereal flakes; however, uncertainty remains regarding the fracture energy of ice crystals. At low values of the ice fracture energy, macroscopic cracks form at the crust–core interface, in contrast to experimental observations. At higher values, only microdamage is predicted. Simulations in which the freezing temperature and crust thickness are varied show good agreement with experimental trends. Overall, we consider the fracture phase field method to be a promising simulation tool for investigating fracture behaviour in food materials. • First application of fracture phase field model to frozen foods. • First model describing freezing damage in foods. • Simulations results are qualitatively in line with experiments on dust formation. • Fracture properties scale with Tg/T.

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Ruud van der Sman (2026) studied this question.

synapsesocial.com/papers/6a095c5d7880e6d24efe2676https://doi.org/10.1016/j.crfs.2026.101437
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