MAE 262 Course Overview

Mechanics of Intelligent Materials Systems
Description of the CourseGreg Carman
Lecture, four hours; outside study, eight hours. Constitutive relations for electro-magneto-mechanical materials. Fiber-optic sensor technology. Micro/macro analysis, including classical lamination theory, shear lag theory, concentric cylinder analysis, hexagonal models, and homogenization techniques as they apply to active materials. Active systems design, inch-worm, and bimorph. Letter grading.

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Background students will need
Although prerequisites are not enforced for graduate students, it is strongly recommended that each student has taken courses equivalent to “Design of Composite Structures”.

About the Instructor
Gregory Carman
Areas of Interest: Electromagnetoelasticity models, piezoelectric ceramics, magnetostrictive composites, characterizing thin film shape memory alloys, fiber optic sensors, design of damage detection systems for structures.



  1. “Engineering Field Theory”, A.J. Fuller: Basic electric/magnetic field theory
  2. “Engineering Electromagnetic Fields and Waves,” Carl Johnk
  3. “Electroceramics”, A.J. Moulson, J.M. Herbert: Reviews materials issues of piezoelectrics
  4. “Fundamentals of Piezoelectricity,” T. Ikeda: Discusses mathematical approaches for piezoelectrics
  5. “Linear Piezoelectric Plate Vibrations,” H. Tiersten: Plate theory and piezoelectrics
  6. “Piezoelectric Actuators and Ultrasonic Motors” Uchino, K.
  7. Ferroelectric Devices, Kenji Uchino
  8. “Electromagnetoelasticity,” V.Z Parton: Reviews analytical approaches to coupled systems
  9. Ferromagnetism, R. Bozorth
  10. Intorduction to Magnetic Materials, B.D. Cullity & C.D. Graham
  11. “Magnetoelastic Interactions,” W. Brown: Reviews analytical approaches to magnetoelastic materials
  12. “Introduction to Magnetism and Magnetic Materials” David Jiles
  13. “Magnetostriction, Theory and Applications of Magnetoelasticity,” Etienne Tremolet De Lacheisserie
  14. “Handbook of Giant Magnetostrictive Materials,” Engdahl, G
  15. ”Engineering Aspects of Shape Memory Alloys,” T.W. Durerig editor
  16. “Shape Memory Alloys” edited by Hiroyasu Funakubo ; translated by J.B. Kennedy
  17. Shape Memory Alloys: Modeling and Engineering Applications, Lagoudas, D
  18. Engineering Analysis of Smart Material Systems, Leo, D

Course Outline

  1. Introduction to intelligent material systems.
  2. Review electric field theory. Fundamental principles of electrostatics, magnetism, and electric current flow.
  3. Material Issues. Basic behavior material issues to piezoelectric ceramics, magnetostrictive materials and shape memory alloys (Multiferroic Materials new)
  4. Thermodynamics of magnetoelectromechanical interactions. Constitutive relations, governing equations, and strain displacement relations.
  5. Simplified modeling approaches. Rule of mixtures and shear lag with emphasis on directional properties (multiferroic effective properties)
  6. Elasticity solution for actuator material systems In cylindrical geometries (micro approach)
  7. Classical laminate theory for active materials. Bimorphs and unimorphs, coupled solution with micro-analysis.
  8. Strength, thermal influences, and long term fatigue, fabrication methodologies for piezoelectrics and magnetostrictive materials/solid state motors.

View Demo for this class.