On the Static Nonlinear Theory of Electromagnetic Thermoelastic Solids


Book Description

The basic field equations, boundary conditions, and constitutive equations, necessary for the treatment of problems concerning the nonlinear, steady state behavior of elastic solids subject to large deformations, electromagnetic fields and thermal gradients, are derived. The basic equa tions are formulated to include Maxwell's equa tions, laws of conservation of mass and of energy, and principles of balance of momentum and balance of moment of momentum. The constitutive equations characterize the stress, dielectric displacement, electric current, magnetic flux density, and heat flux as analytic tpoint functions of strain, electric field, magnetic field and thermal grad ient for elastic solids displaying holohedral iso tropy with respect to mechanical, electrical, magnetic and thermal properties. (Author).




Continuum Mechanics of Electromagnetic Solids


Book Description

This volume is a rigorous cross-disciplinary theoretical treatment of electromechanical and magnetomechanical interactions in elastic solids. Using the modern style of continuum thermomechanics (but without excessive formalism) it starts from basic principles of mechanics and electromagnetism, and goes on to unify these two fields in a common framework. It treats linear and nonlinear static and dynamic problems in a variety of elastic solids such as piezoelectrics, electricity conductors, ferromagnets, ferroelectrics, ionic crystals and ceramics. Chapters 1-3 are introductory, describing the essential properties of electromagnetic solids, the essentials of the thermomechanics of continua, and the general equations that govern the electrodynamics of nonlinear continua in the nonrelativistic framework (e.g. Maxwell's equations, the fundamental balance laws of continuum mechanics, basic thermodynamical inequalities for electromagnetic continua, jump relations for studying the propagation of shock waves, nonlinear constitutive equations for large classes of materials).The remainder of the text presents in detail special cases, applications, solved problems, and more complex schemes of electromagnetic matter. Chapters 4 and 5 examine material schemes whose description relies on the above-mentioned equations. Chapters 6 and 7 are more advanced, reporting on recent progress in the field.Suitable for graduate teaching, the volume will also be useful to research workers and engineers in the field of electromagnetomechanical interactions, and to those interested in the basic principles, mathematical developments and applications of electroelasticity and magnetoelasticity in a variety of solid materials, such as crystals, polycrystals, compounds and alloys.




Analysis and Thermomechanics


Book Description

This book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."













Mechanics and Chemistry of Solid Propellants


Book Description

Mechanics and Chemistry of Solid Propellants is a collection of papers presented at the Fourth Symposium on Naval Structural Mechanics, held in Purdue University, Lafayette, Indiana on April 19-21, 1965 under the joint sponsorship of the Office of Naval Research and Purdue University. The contributors consider the development and utilization of solid propellants. This book is composed of 22 chapters that cover the many branches of studies that touch upon the science and technology of solid propellants. Some chapters present the mathematical and physical theories underlying the behavior of solid propellants, such as nonlinear and linear theories of viscoelasticity. Other chapters are devoted to advances in solid propellant binder chemistry; combustion and its effects on the structural integrity of the solid propellant grain; and design and other engineering problems. This book will be of value to scientists, engineers, and researchers who are interested in the diverse applications of solid propellants.




Continuum Mechanics


Book Description

This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.