Smart Material Systems: Model Developments(Series Number 32 Frontiers in Applied Mathematics)

Smart Material Systems: Model Development describes several novel applications currently under investigation that exploit the unique actuator and sensor capabilities of smart material compounds. In addition to present and projected applications, this book provides comprehensive coverage of both linear and nonlinear modeling techniques necessary to characterize materials in a manner that facilitates transducer design and control development. The author focuses on ferroelectric, magnetic, and shape memory compounds and also addresses applications exploiting amorphous and ionic polymers, magnetorheological compounds, and fiber optic sensors. Three classes of nonlinear models are discussed, all of which provide unified characterization frameworks for the broad class of combined compounds. An extensive discussion of structural models based on linear and nonlinear constitutive models is included, as is a chapter on numerical techniques for approximating solutions to the structural systems. The author also provides a synergistic treatment of material characterization, including significant discussion of the physics underlying nonlinear behavior, the development of nonlinear constitutive relations, the development of system models based on these constitutive relations, and the formulation of numerical techniques for approximating solutions to the resulting system models. To aid the understanding of both mathematical and physical terminology, an extensive glossary of terms is provided in an appendix. Furthermore, MATLAB software for representative models is provided at an accompanying website. By providing a unified treatment of both linear and nonlinear characterization frameworks, Smart Material Systems: Model Development encompasses both low to moderate drive levels, which constitute the primary focus of most present texts, and the high drive regimes dictated by present and future applications. This will significantly enhance the design of transducers and control systems which exploit the unique actuator and sensor capabilities provided by smart material compounds. Audience Smart Material Systems: Model Development is intended for graduate students and researchers in applied mathematics, materials science, mechanical, aerospace, electrical and civil engineering, physics, chemistry, and related fields involving applications that utilize advanced materials. Individuals ranging from students entering the field to experts within constituent disciplines will find Smart Material Systems: Model Development useful.

Table of Contents:
Preface; 1. Smart material applications; 2. Model development for ferroelectric compounds; 3. Model development for relaxor ferroelectric compounds; 4. Model development for ferromagnetic compounds; 5. Model development for shape memory alloys; 6. Unified modeling frameworks for ferroic compounds; 7. Rod, beam, plate and shell models; 8. Numerical techniques; Appendices; Bibliography; Index.