Designing the perfect piece of chocolate

News - 12 May 2022 - Webredactie 3mE

We like some foods, and dislike others. Of course, the way food tastes is important, but mouthfeel, and even the sound that food makes when we bite it, also determine whether we enjoy the eating experience. Is it possible to design edible materials that optimize this enjoyment? Physicists and food researchers show that indeed it is.

In research that was published in Soft Matter this month, researchers from the University of Amsterdam, Delft University, and Unilever, demonstrate that the mouthfeel of an edible substance can be designed, just like properties of many other materials can. That is: they create metamaterials, materials that are not found in nature but that are carefully constructed in the lab. Their building material of choice is not wood, concrete or glass – they build their materials from chocolate.

Design of mouthfeel

As both professional and amateur bakers know very well, chocolate is not an easy material to work with. Simply heating it up and cooling it down can turn soft chocolate into much more brittle tempered chocolate, or vice versa. Therefore, the first challenge for the researchers was to get their building material under control. They did this by very carefully heating it up, adding some cold chocolate, cooling it down again… and then putting it in a 3D printer. This allowed them to print essentially any shape of chocolate material they wanted, while guaranteeing that the base material always had the same properties.

The first shape of edible material that the scientists experimented with was an S-shaped chocolate with many twists, as in the figure above. The goal was to test how this material would break and how that breaking would be experienced in the mouth. Not surprisingly, the breaking properties depended strongly on the direction of ‘biting’. When the chocolate was pressed from above, many different cracks occurred one after another, but when pressed in the direction perpendicular to the picture, usually only a single crack occurred. This was tested mechanically, as in the picture to the left, but also by feeding the chocolates to a panel of 10 – very willing – test persons. Both the mechanical tests and the test panel confirmed moreover that the ease of bite was better in the direction shown in the picture.

Methodology

The methodology that was used to optimize the fracture behaviour of the chocolate was developed by researchers Jian Zhang and Alejandro Aragón of TU Delft. Jian Zhang implemented the methodology and derived the analytical sensitivity formulation to drive the optimizer towards optimized chocolate designs.  Aragón had the idea to use the so-called topological derivatives as a means to evaluate energy release rates (the energy that is needed to drive a crack) within a topology optimization framework. The methodology has been published in a separate article.

Alejandro Aragón: “This framework uses, behind the scenes, enriched finite element technology I’ve been developing during my entire career. In a nutshell, enriched finite element formulations enable accurate analysis by decoupling the problem’s geometry from the finite element mesh (discretization).”

The more cracks, the better

Most people enjoy the experience of food crackling down in their mouths – the more cracks, the better. Having shown that such an experience can be designed, the researchers now tried some different structures, searching for a structure where the number of cracks can be ‘programmed’ into the material.

It turned out that spiral-shaped chocolate metamaterials like the ones displayed above have quite interesting and tunable properties. Not only does the number of windings directly control the number of cracks when the material is pressed mechanically; the test panel could also clearly distinguish between less and more cracks when eating the chocolates. Moreover, sound recordings showed that the sound the chocolates makes when being bitten reflects the number of cracks, adding to an enjoyable eating experience.

The perfect piece of chocolate

The final question was of course: is designing an enjoyable eating experience a matter of trial and error, or can nice edible materials actually be designed and finetuned before creating them? The researchers found that with a well-chosen mathematical model, they can indeed optimize certain shapes of chocolates with respect to, for example, their resistance to break when bitten from certain directions. Some of the resulting optimal shapes (for different bite strengths) can be seen below.

The design of edible metamaterials had not been studied before. The new research opens the door to ways to design foods that are enjoyable to eat – and more generally, to design materials that optimize the interaction between humans and matter.