The book is devoted to the problem of microgeometry properties and anisotropy relations in modern piezo-active composites. These materials are characterized by various electromechanical properties and remarkable abilities to convert mechanical energy into electric energy and vice versa. Advantages of the performance of the composites are discussed in the context of the orientation effects, first studied by the authors for main connectivity patterns and with due regard to a large anisotropy of effective piezoelectric coefficients and electromechanical coupling factors. The novelty of the book consists in the systematization results of orientation effects, the anisotropy of piezoelectric properties and their role in forming considerable hydrostatic piezoelectric coefficients, electromechanical coupling factors and other parameters in the composites based on either ferroelectric ceramic or relaxor-ferroelectric single crystals.
This book presents the foundational issues of linear elasticity in a compact, unabridged manner; it is directed to mathematicians and physical scientists who care for approaching this classical subject with rigor and depth. There are four chapters: the first two illustrate, respectively, the concepts of deformation and strain and of force and stress; the third is devoted to a study of constitutive relations; the last discusses the posing of equilibrium problems. The emphasis is in the description of elasticity as a model whose construction calls for a delicate interplay between physics and mathematics. The conceptual links with general continuum mechanics are carefully indicated. It would not be easy to find in one other book a treatment of such issues as exact and linearized equilibria, the constitutive problems of classification and representation, internal constraints and material symmetries, elastic equilibrium with the Cauchy relations, and elastic equilibrium in the presence of internal constraints. The book can be be used to teach one-semester advanced undergraduate and graduate courses in elasticity theory to students in applied mathematics and engineering; for this purpose, it contains one hundred exercises of variable difficulty.
This book is devoted to the systematic description of the role of microgeometry of modern piezo-active composites in the formation of their piezoelectric sensitivity. In five chapters, the authors analyse kinds of piezoelectric sensitivity for piezo-active composites with specific connectivity patterns and links between the microgeometric feature and piezoelectric response. The role of components and microgeometric factors is discussed in the context of the piezoelectric properties and their anisotropy in the composites. Interrelations between different types of the piezoelectric coefficients are highlighted. This book fills a gap in piezoelectric materials science and provides readers with data on the piezoelectric performance of novel composite materials that are suitable for sensor, transducer, hydroacoustic, energy-harvesting, and other applications.
The book is devoted to the problem of microgeometry properties and anisotropy relations in modern piezo-active composites. These materials are characterized by various electromechanical properties and remarkable abilities to convert mechanical energy into electric energy and vice versa. Advantages of the performance of the composites are discussed in the context of the orientation effects, first studied by the authors for main connectivity patterns and with due regard to a large anisotropy of effective piezoelectric coefficients and electromechanical coupling factors. The novelty of the book consists in the systematization results of orientation effects, the anisotropy of piezoelectric properties and their role in forming considerable hydrostatic piezoelectric coefficients, electromechanical coupling factors and other parameters in the composites based on either ferroelectric ceramic or relaxor-ferroelectric single crystals.
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