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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.
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.
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.
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