This book examines the issues across the breadth of elasticity theory. Firstly, the underpinning mathematics of vectors and matrices is covered. Thereafter, the equivalence between the inidicial, symbolic and matrix notations used for tensors is illustrated in the preparation for specific types of material behaviour to be expressed, usually as a response function from which a constitutive stress-strain relation follow.Mechanics of Elastic Solids shows that the elastic response of solid materials has many forms. Metals and their alloys confirm dutifully to Hooke's law. Non-metals do not when the law connecting stress to strain is expressed in polynomial, exponential and various empirical, material specific forms. Hyper- and hypo- elasticity theories differ in that the former is restricted to its thermodynamic basis while the latter pervades many an observed response with its release from thermal restriction, but only at the risk of contravening the laws of thermodynamics.This unique compendium is suitable for a degree or diploma course in engineering and applied mathematics, as well as postgraduate and professional researchers.

The fifteen chapters of this book are arranged in a logical progression. The text begins with the more fundamental material on stress and strain transformations with elasticity theory for plane and axially symmetric bodies, followed by a full treatment of the theories of bending and torsion. Coverage of moment distribution, shear flow, struts and energy methods precede a chapter on finite elements. Thereafter, the book presents yield and strength criteria, plasticity, collapse, creep, visco-elasticity, fatigue and fracture mechanics. Appended is material on the properties of areas, matrices and stress concentrations. Each topic is illustrated by worked examples and supported by numerous exercises drawn from the author's teaching experience and professional institution examinations (CEI). This edition includes new material and an extended exercise section for each of the fifteen chapters, as well as three appendices. The broad text ensures its suitability for undergraduate and postgraduate courses in which the mechanics of solids and structures form a part including: mechanical, aeronautical, civil, design and materials engineering.

Engineering structures considered include bars, columns, struts, tubes, vessels, beams, springs and frames. The loadings imposed upon them are, typically, tension, compression and shear, bending, torsion and pressure, separately and in combination. The mechanics of such structures examine the manner in which they each bear their respective loading in a safe predictable way. This aids design considerations upon choice of material and its physical shape when seeking, say, a safe design with low weight.The presentation of chapters is intended to guide the reader from a basic to more advanced understanding of common engineering structures. Thus, the consideration of stress and strain under elastic and plastic conditions is required for a full understanding of a structure that may bend, twist and buckle as it is deflected by its loading. The approach adopted is to intersperse theory with examples and exercises that emphasise practical application. Standard analytical techniques including stress transformation, energy methods and yield criteria precede a final chapter on finite element analysis.Worked examples and exercises have been devised and compiled by the author to support the topics within each chapter. Some have been derived, with a conversion to SI units, from past examination papers set by institutions with which the author has been associated, namely: Brunel, Kingston and Surrey Universities and the Council of Engineering Institutions.The contents should serve most courses in mechanical, civil, aeronautical and materials engineering.

The fifteen chapters of this book are arranged in a logical progression. The text begins with the more fundamental material on stress and strain transformations with elasticity theory for plane and axially symmetric bodies, followed by a full treatment of the theories of bending and torsion. Coverage of moment distribution, shear flow, struts and energy methods precede a chapter on finite elements. Thereafter, the book presents yield and strength criteria, plasticity, collapse, creep, visco-elasticity, fatigue and fracture mechanics. Appended is material on the properties of areas, matrices and stress concentrations. Each topic is illustrated by worked examples and supported by numerous exercises drawn from the author's teaching experience and professional institution examinations (CEI). This edition includes new material and an extended exercise section for each of the fifteen chapters, as well as three appendices. The broad text ensures its suitability for undergraduate and postgraduate courses in which the mechanics of solids and structures form a part including: mechanical, aeronautical, civil, design and materials engineering.

Engineering structures considered include bars, columns, struts, tubes, vessels, beams, springs and frames. The loadings imposed upon them are, typically, tension, compression and shear, bending, torsion and pressure, separately and in combination. The mechanics of such structures examine the manner in which they each bear their respective loading in a safe predictable way. This aids design considerations upon choice of material and its physical shape when seeking, say, a safe design with low weight.The presentation of chapters is intended to guide the reader from a basic to more advanced understanding of common engineering structures. Thus, the consideration of stress and strain under elastic and plastic conditions is required for a full understanding of a structure that may bend, twist and buckle as it is deflected by its loading. The approach adopted is to intersperse theory with examples and exercises that emphasise practical application. Standard analytical techniques including stress transformation, energy methods and yield criteria precede a final chapter on finite element analysis.Worked examples and exercises have been devised and compiled by the author to support the topics within each chapter. Some have been derived, with a conversion to SI units, from past examination papers set by institutions with which the author has been associated, namely: Brunel, Kingston and Surrey Universities and the Council of Engineering Institutions.The contents should serve most courses in mechanical, civil, aeronautical and materials engineering.

This handbook covers a number of the more recent developments regarding the mechanics of deforming solids. In recent years, much progress has been reported in the wide-ranging mechanical behaviour of solids under stress. Here the term stress in a solid arises from a number of external actions including direct tension, compression, pressure, bending, shear and torsion. Many of the topics covered are yet to find their way into the standard texts, which are often restricted to isotropic elasticity and plasticity.In this two-volume work, what might previously have been regarded as disparate, 'specialist' topics have been placed within a wider mechanics arena to emphasise their common, underlying principles. That arena is taken generally as one of inelasticity for dealing with the essential mechanics of these phenomena. Therein, this text brings together theory, experimental data, key references, examples and exercises, particularly those that relate to the important advances in the subject, both old and new. The presentation of material featured in this way anticipates that in their turn these additional topics will be recognised as essential material for study among engineers, physicists and applied mathematicians at undergraduate and postgraduate levels.