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Applied Mathematics in Ferroelectricity and Piezoelectricity by Kenji Uchino




Applied Mathematics in Ferroelectricity and Piezoelectricity - Table of Contents

  • 1. L-Fuzzy Sets and Isomorphic Lattices: Are All the “New” Results Really New?
  • 2. On the Most Extended Modal Operator of the First Type over Interval-Valued Intuitionistic Fuzzy Sets
  • 3. N-Hyper Sets
  • 4. Hypergraphs in m-Polar Fuzzy Environments
  • 5. On Generalized Roughness in LA-Semigroups
  • 6. Fuzzy Semi-Metric Spaces
  • 7. Nilpotent Fuzzy Subgroups
  • 8. Neutrosophic Triplet G-Modules
  • 9. Some Types of Subsemigroups Characterized in Terms of Inequalities of Generalized Bipolar Fuzzy Subsemigroups
  • 10. Hyperfuzzy Ideals in BCK/BCI-Algebras
  • 11. Length-Fuzzy Subalgebras in BCK/BCI-Algebras
  • 12. Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-Algebras
  • 13. A Novel (R, S)-Norm Entropy Measure of Intuitionistic Fuzzy Sets and Its Applications in Multi-Attribute Decision-Making and intuitionistic fuzzy sets multi attribute decision making
  • 14. Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision-Making Problems
  • 15. The Effect of Prudence on the Optimal Allocation in Possibilistic and Mixed Models
  • 16. The Emergence of Fuzzy Sets in the Decade of the Perceptron—Lotfi A. Zadeh’s and Frank Rosenblatt’s Research Work on Pattern Classification and fuzzy sets pattern classification lotfi zadeh perceptron
  • 17. Credibility Measures for Intuitionistic Fuzzy Variables
  • 18. Certain Algorithms for Modeling Uncertain Data Using Fuzzy Tensor Product Bézier Surfaces and fuzzy tensor product bezier surfaces modeling uncertain data
  • 19. Numerical Methods for Solving Fuzzy Linear Systems and numerical methods solving fuzzy linear systems

What You Will Learn in Applied Mathematics in Ferroelectricity and Piezoelectricity

In Applied Mathematics in Ferroelectricity and Piezoelectricity, world-renowned smart materials authority Kenji Uchino provides a comprehensive mathematical foundation for modeling electromechanical coupling. Across 19 detailed chapters, the work covers piezoelectric constitutive equations, domain wall dynamics, polarization switching, ferroelectric hysteresis loops, complex matrix representations, and field-induced strain calculations.

Targeted at graduate students, materials scientists, and device engineers, Prof. Uchino unifies continuum mechanics with electrodynamics. Readers are guided step-by-step through Mason's equivalent circuit derivations, resonance and antiresonance frequency analysis, finite element formulations for smart structures, and energy harvesting efficiency optimizations.

Renowned for its practical engineering formulations, physical clarity, and deep mathematical rigor, this textbook stands as one of the best ferroelectricity and piezoelectricity mathematics books pdf available for academic study. It systematically equips researchers and device designers with essential quantitative tools for mastering smart material modeling with confidence.

Book Details & Specifications

Title: Applied Mathematics in Ferroelectricity and Piezoelectricity by Kenji Uchino
Publisher: MDPI
Year: 2023
Pages: 634
Type: PDF
Language: English
ISBN-10 #: 3036513205
ISBN-13 #: 978-3036513201
License: Creative Commons
Amazon: Amazon

About the Author: Kenji Uchino

The author Kenji Uchino is a pioneer in smart materials, Founder and Director of the International Center for Actuators and Transducers (ICAT), and Professor of Electrical Engineering and Materials Science at The Pennsylvania State University.

A Fellow of the American Ceramic Society and IEEE, Prof. Uchino is globally recognized for his groundbreaking work in piezoelectric actuators, ferroelectric devices, and energy harvesting technologies, having authored over 500 papers and numerous classic textbooks.


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