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Solid Mechanics - An Introduction (Hardcover, 1992 ed.)
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Solid Mechanics - An Introduction (Hardcover, 1992 ed.)
Series: Solid Mechanics and Its Applications, 15
Expected to ship within 12 - 17 working days
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This book is a concise and readable introductory text on solid
mechanics suitable for engineers, scientists and applied
mathematicians. It presents the foundations of stress, strain and
elasticity theory and consistently employs the use of vectors and
(particularly) Cartesian tensor notation. The first chapter
introduces vectors with particular emphasis being paid to
applications which arise in later chapters. Chapter 2 introduces
Cartesian tensors and describes some of their important
applications. In particular, finite and infinitessimal rotations
are examined as are isotropic tensors and second order symmetric
tensors. The last topic of this chapter includes a full discussion
on eigenvalues and eigenvectors. There are separate introductions,
in Chapters 3 and 4, to stress and strain and to their practical
measurement using, respectively, photoelastic methods and strain
gauges. In Chapter 5 the concepts of stress and strain are brought
together and, in conjunction with Newton's equilibrium equations,
used to deduce the basic equations of linear elasticity theory.
These fundamental equations are then examined and analyzed by
obtaining simple exact solutions, including solutions which
describe twisting, bending and stretching of beams. Chapter 6
introduces the fundamental concept of strain enegergy and uses this
concept to derive the Kirchoff uniqueness theorem, Rayleigh's
reciprocal theorem and the important Castigliano relations. The
chapter concludes with a thorough treatment of the theorem of
minimum potential energy and examines some of its applications. The
final three chapters examine the application of the fundamental
equations to the theory of torsion, to structural analysisand to
the treatment of two dimensional elastostatics by analytical and
approximate (finite element) methods.
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