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Fundamentals of the Mechanics of Solids 2015 (Hardcover, 2015 ed.)
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Fundamentals of the Mechanics of Solids 2015 (Hardcover, 2015 ed.)
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This distinctive textbook aims to introduce readers to the basic
structures of the mechanics of deformable bodies, with a special
emphasis on the description of the elastic behavior of simple
materials and structures composed by elastic beams. The authors
take a deductive rather than inductive approach and start from a
few first, foundational principles. A wide selection of exercises,
many with hints and solutions, are provided throughout and
organized in a way that will allow readers to form a link between
abstract mathematical concepts and real-world applications. The
text begins with the definition of bodies and deformations, keeping
the kinematics of rigid bodies as a special case; the authors also
distinguish between material and spatial metrics, defining each one
in the pertinent space. Subsequent chapters cover observers and
classes of possible changes; forces, torques, and related balances,
which are derived from the invariance under classical changes in
observers of the power of the external actions over a body, rather
than postulated a priori; constitutive structures; variational
principles in linear elasticity; the de Saint-Venant problem; yield
criteria and a discussion of their role in the representation of
material behavior; and an overview of some bifurcation phenomena,
focusing on the Euler rod. An appendix on tensor algebra and tensor
calculus is included for readers who need a brief refresher on
these topics. Fundamentals of the Mechanics of Solids is primarily
intended for graduate and advanced undergraduate students in
various fields of engineering and applied mathematics.
Prerequisites include basic courses in calculus, mathematical
analysis, and classical mechanics.
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