Related Experiment Video
Updated: Nov 28, 2025

07:41
Controlled Strain of 3D Hydrogels under Live Microscopy Imaging
Published on: December 4, 2020
3.9K
Nonclassical Chiral Elasticity of the Gyroid Lattice
1Department of Engineering Physics, University of Wisconsin, Madison, Wisconsin 53706, USA.
Physical Review Letters
|December 1, 2020
Summary
Chiral gyroid lattices, fabricated via 3D printing, demonstrate tunable chirality and unique elastic properties. These metamaterials exhibit size-dependent behavior, offering potential for advanced material design.
Area of Science:
- Materials Science
- Mechanical Engineering
- Metamaterials
Background:
- Gyroid lattices are a class of metamaterials known for their unique geometric structures.
- Chirality in metamaterials can be tuned by altering their geometry.
- 3D printing enables the fabrication of complex lattice structures.
Purpose of the Study:
- To investigate the elastic properties of chiral and nonchiral gyroid lattices.
- To explore the relationship between geometry, chirality, and mechanical behavior in gyroid lattices.
- To understand the size-dependent effects on the elastic modulus of gyroid structures.
Main Methods:
- Fabrication of chiral and nonchiral gyroid lattices using 3D printing.
- Experimental characterization of elastic properties, including compressive stress and torsional deformation.
- Analysis of the influence of geometric parameters on elastic modulus and size dependence.
Main Results:
- Chiral gyroid lattices exhibited nonclassical elastic effects, such as coupling between compressive stress and torsional deformation.
- Gyroid lattices demonstrated the ability to approach upper bounds on elastic modulus.
- A size-dependent softening effect was observed in gyroid cylinders with small radii due to surface imperfections, a phenomenon distinct from most lattices.
Conclusions:
- Tunable chiral gyroid lattices can be fabricated using 3D printing.
- These metamaterials display unique elastic responses, including stress-torsion coupling.
- The observed size dependence in gyroid lattices presents a novel characteristic compared to traditional lattice structures.
Related Concept Videos
Gauss's Law: Planar Symmetry
9.0K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
9.0K
Gauss's Law: Cylindrical Symmetry
8.9K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
8.9K
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
424
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
424
Trends in Lattice Energy: Ion Size and Charge
26.0K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
26.0K
Conformations of Cyclohexane
14.5K
Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal...
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal...
14.5K
Gauss's Law: Spherical Symmetry
8.7K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
8.7K

