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Mathematical Systems Design Lab
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A lab that uses mathematical methods to understand the behavior of materials, ground, and structures.
AboutAbout the lab
Solving infrastructure problems with mathematics
The Mathematical Systems Design Lab uses mathematical methods to address a range of problems in the development of infrastructure.
It develops methods to predict how much force materials and structures can withstand and how they deform.
The lab also works on predicting the deformation and strength of the ground that supports structures, and on assessing the safety of power transmission towers after earthquakes.
The theory and computer simulation techniques the lab has built up so far are its strengths.
Key terms
- Elastoplasticity
- An approach that treats together deformation that disappears when the force is removed (elastic) and deformation that remains (plastic)
- Strain localization
- A phenomenon in which deformation does not occur uniformly throughout but concentrates in a particular band or plane
- Bifurcation analysis
- As force is applied, the pattern of deformation can branch partway through. This is an analysis that investigates the branching point and the paths beyond it.
NewsLab news
View More ↗ResearchResearch themes
The lab takes on unresolved problems in infrastructure development using mathematical methods. It builds theories that describe the behavior of materials, structures, and ground, and makes predictions through computer simulation.
*Illustrative imageMathematics for predicting strength and deformation
The lab develops mathematical methods for predicting and evaluating how much force materials and structures can withstand and how they deform. It studies elastoplasticity theory, which describes the behavior of materials such as soil, and the computational methods for it.
*Illustrative imageDamage to and repair of transmission towers
The lab computationally reproduces the process by which infrastructure such as power transmission towers is damaged and fails. It also analyzes how much strength is recovered when a tower damaged by differential displacement of its legs is repaired.
*Illustrative imagePredicting ground deformation and strength
The lab predicts how the ground supporting a structure deforms under load and how much it can withstand. Using bifurcation analysis, it investigates the mechanism of strain localization, in which deformation concentrates in bands within geomaterials.
MembersFaculty
- ProfessorYuki Yamakawa
- Assistant ProfessorKumpei Tsuji
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: “Finite element mesh” Bruno Sudret / CC BY 4.0 (cropped)
- Mathematics for predicting strength and deformation: “Mises Yield Surface 3D” Janek Kozicki at English Wikipedia / CC BY-SA 3.0 (cropped)
- Damage to and repair of transmission towers: “Overhead power line High-voltage High-voltage line DSCF0128” 松岡明芳 / CC BY-SA 3.0 (cropped)
- Predicting ground deformation and strength: “X-shaped shear bands in clay” SSMG-ITALY / CC BY-SA 3.0 (cropped)
- Related lab (Structural Creation Lab): “Ayunose bridge 1” MK Products at Japanese Wikipedia / CC BY-SA 3.0 (cropped)
- Related lab (Geosphere and Geotechnical Engineering Lab): “Niigata soil liquefaction” 作者不詳 / Public domain (cropped)
- Related lab (Advanced Social Infrastructure Lab): “Levee breach site of the Chikuma River in the Hobo district, Nagano, Nagano Prefecture, during Typhoon Hagibis (Typhoon No. 19) in Reiwa 1 (2019)” 国土地理院 / CC BY 4.0 (cropped)
- Related lab (Materials and Construction Methods Creation Lab): “Steel frame building under construction in Taiwan” SSJF01 / CC0 (cropped)
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