1. Magnetostrictive Response of Cellulose Nanofibril Composites
Nathan Swanson - Mechanical Engineering
Dr. Chiu Tai Law - Electrical Engineering and Computer Science
Dr. Rani Elhajjar – Civil and Environmental Engineering

2. Overview Objectives Background Previous Research
Methodology and Processing
Multiphysics Modeling
Testing
Results
Future Research
Practical Applications

3. Background Magnetostriction Strain Characterization
𝜖 𝐻 = Δλ 0.78𝜆 𝐵
0.78 is the photoelastic strain constant.
𝜆 𝐵 Braggs Grating initial wavelength.
Magnetostrictive Strain Coefficient
𝑑 33 = 𝑑𝜖 𝑑𝐻
H is the applied field
Coupling Factor
𝑘 33 2 = 𝑑 𝜇 33 𝑇 𝐸 𝐻
𝑑 33 : magnetostrictive strain coefficient.
𝜇 33 𝑇 : relative permeability at a constant stress.
𝐸 𝐻 : Young’s Modulus at a constant applied field.

4. Objectives Embed a Cable Characterize Magnetostriction
Validate previous research

5. Previous Research Optimal Volume Fraction Adhered Layers
Material Properties
Relative Strain

6. Methodology and Processing
Water Extraction
2 Layers
Embedding a wire
Flat Aluminum flats

7. Multiphysics Modeling
𝜖 − =330.1 𝑝𝑝𝑚
𝑑 33 =1330 𝑝𝑚 𝐴
𝑘 33 =22.027∗ 10 −3

8. Testing Sweeping the Field Change in the Reflected Spectrum
Describe Process by which samples were tested with the breaking and SEM
Describe importance of gaps being very small so particles had adequate CNF matrix to do work against during magnetization
Show how gaps around 3 micro meters would be sufficient to handle 100 – 150 micrometer particles.
𝜖 − =91.23 𝑝𝑝𝑚

9. Results
Describe Process by which samples were tested with the breaking and SEM
Describe importance of gaps being very small so particles had adequate CNF matrix to do work against during magnetization
Show how gaps around 3 micro meters would be sufficient to handle 100 – 150 micrometer particles.
𝑑 33 =275 𝑝𝑚 𝐴
𝑘 33 =4.559∗ 10 −3

10. Future Research 413 𝑝𝑚 𝐴 <𝑑 33 <826 𝑝𝑚 𝐴 Magnetometer
Aligning the Particles
413 𝑝𝑚 𝐴 <𝑑 33 <826 𝑝𝑚 𝐴

11. Practical Applications
Vibration
Wireless Sensor
Energy Harvesting

12. References
[1] Clark A. & Hathaway K. (1999), Physics of Giant Magnetostriction, Handbook of Giant Magnetostrictive Materials, Engdahl, G (Ed.), San Diego, CA: Academic Press, pp
[2] Olabi, Abdul Ghani & Grunwald, Artur. (2008). Design and application of magnetostrictive materials. Olabi, Abdul-Ghani and Grunwald, Artur (2008) Design and application of magnetostrictive materials. Materials & Design, 29 (2). pp ISSN /j.matdes
[3] Calkins, Frederick T., et al. “Effect of Prestress on the Dynamic Performace of a Terfenol- D Transducer.” Smart Structures and Materials 1997: Smart Structures and Integrated Systems, 1997, doi: /
[4] Wang, Y., Atulasimha, J., & Prasoon, R. (2010, October 22). [Major Loop of Magnetostriction versus Magnetic Field for Terfenol-D].