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Hamilton's Principle in Continuum Mechanics (Hardcover, 1st ed. 2021)
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Hamilton's Principle in Continuum Mechanics (Hardcover, 1st ed. 2021)
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This revised, updated edition provides a comprehensive and rigorous
description of the application of Hamilton's principle to
continuous media. To introduce terminology and initial concepts, it
begins with what is called the first problem of the calculus of
variations. For both historical and pedagogical reasons, it first
discusses the application of the principle to systems of particles,
including conservative and non-conservative systems and systems
with constraints. The foundations of mechanics of continua are
introduced in the context of inner product spaces. With this basis,
the application of Hamilton's principle to the classical theories
of fluid and solid mechanics are covered. Then recent developments
are described, including materials with microstructure, mixtures,
and continua with singular surfaces.
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