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Solid Mechanics Lab
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The lab explores the mechanics of flexible, supple structures using differential geometry.
AboutAbout the lab
Solving the mechanics of supple structures with geometry.
The Solid Mechanics Lab conducts fundamental research that analyzes a variety of nonlinear mechanical phenomena in solid materials and structures.
Its topics include the geometric design of origami, kirigami, and amigami (knitted paper), fracture and mechanical instability in elastomers, and the mechanics of dislocations and disclinations in crystals.
Its distinctive feature is the use of continuum mechanics whose mathematical framework for analysis is extended from Euclidean space to Riemannian manifolds.
In addition to theory and computation, the lab builds soft structures with 3D printers and laser cutters and carries out mechanical experiments.
Key terms
- Elastomer
- A material, including rubbers and gels, that can deform greatly and flexibly. This comes from its structure of molecular chains linked to one another
- Dislocations and disclinations
- Two common types of line defects, which are linear defects that form inside crystals
- Riemannian manifold
- A mathematical object that extends flat Euclidean space to curved spaces
NewsLab news
Paper on crack morphology in elastomers published in Phys. Rev. Research
Paper on the geometric theory of lattice defects published in Royal Society Open Science
Paper on the jumping motion of soft robots published
Paper on the curling phenomenon in knitted fabrics published
Paper showing the mathematical relationship between dislocation theory and electromagnetism published
ResearchResearch themes
The lab analyzes, from fundamentals, nonlinear mechanical phenomena in solid materials and structures through the geometric design of origami, kirigami, and amigami, fracture of elastomers, and the mechanics of dislocations and disclinations. Using continuum mechanics on differential-geometric spaces, it aims to understand the complex behavior of soft, supple structures and to create new soft robots.
*Illustrative imageInstability caused by twisting fiber bundles
When an elastic thread is twisted, the structure becomes unstable at a certain angle and then develops into shapes such as plectonemes. This mechanism is still poorly understood, and the lab investigates it by combining experiments with material point method (MPM) simulations.
*Illustrative imageGeometric design of amigami, origami, and kirigami
Thin, paper-like structures tend to undergo out-of-plane bending more readily than in-plane stretching. Taking advantage of this flexibility, the lab explores "amigami" (knitted paper) to create curved surfaces, and is also developing mechanical metamaterials on curved surfaces.
*Illustrative imageFracture, friction, and contact of elastomers
The lab models the nonlinear mechanics of fracture, friction, and contact in elastomers such as rubbers and gels using ideas from applied mathematics and physics, and studies them through numerical analysis. It focuses on quantitatively comparing results from theory and numerical analysis with those of experiments.
*Illustrative imageDescribing crystal defects with differential geometry
While dislocations have been studied extensively in both theory and experiment, disclinations have received much less research, and how they move is still poorly understood. By modeling disclinations with continuum mechanics on Riemann–Cartan manifolds, the lab is extending the framework of conventional lattice-defect theory.
MembersFaculty
The lab's members consist of faculty, visiting researchers, administrative assistants, and doctoral, master's, and undergraduate students.
- ProfessorRyuichi Tarumi
- Assistant ProfessorShunsuke Kobayashi
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Origami ball” Angie from Sawara, Chiba-ken, Japan / CC BY 2.0 (cropped)
- Instability caused by twisting fiber bundles: “Cosserat Rod” Alexzabbey / CC BY 4.0 (cropped)
- Geometric design of amigami, origami, and kirigami: “Cranes made by Origami paper” Laitche / Public domain (cropped)
- Fracture, friction, and contact of elastomers: “Rubber bands - Colors - Studio photo 2011” Bill Ebbesen / CC BY-SA 3.0 (cropped)
- Describing crystal defects with differential geometry: “Solute dislocation diffusion schematic” Aedrius / CC BY-SA 4.0 (cropped)
- Related lab (Thermal Engineering Lab): “Boundary-Layer-Transition” Herbert.Oertel / www.prof.oertel.de / CC BY-SA 3.0 (cropped)
- Related lab (Materials Physics Lab): “Transmission electron microscope (Morgagni 268D) pl” Pleple2000 / CC BY-SA 3.0 (cropped)
- Related lab (Control and Information Systems Lab): “Blackghost” Paul Esparon, Sunil Shah, Dr Timothy Nickels and the 2008 CAUV team. / CC BY-SA 3.0 (cropped)
- Related lab (Human Motor Control Lab): “Halodi Robotics' Perception Engineer With a Humanoid Collaborative Robot” Nicholas-halodi / CC BY-SA 4.0 (cropped)
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