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Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering
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Viscoelastic Modeling for Structural Analysis (Hardcover)
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Viscoelastic Modeling for Structural Analysis (Hardcover)
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The theory of viscoelasticity has been built up as a mechanical
framework for modeling important aspects of the delayed behavior of
a wide range of materials. This book, primarily intended for civil
and mechanical engineering students, is devoted specifically to
linear viscoelastic behavior within the small perturbation
framework. The fundamental concepts of viscoelastic behavior are
first presented from the phenomenological viewpoint of the basic
creep and relaxation tests within the simple one-dimensional
framework. The linearity and non-ageing hypotheses are introduced
successively, with the corresponding expressions of the
constitutive law in the form of Boltzmann's integral operators and
Riemann's convolution products respectively. Applications to simple
quasi-static processes underline the dramatic and potentially
catastrophic consequences of not taking viscoelastic delayed
behavior properly into account at the design stage. Within the
three-dimensional continuum framework, the linear viscoelastic
constitutive equation is written using compact mathematical
notations and takes material symmetries into account. The general
analysis of quasi-static linear viscoelastic processes enhances
similarities with, and differences from, their elastic
counterparts. Simple typical case studies illustrate the importance
of an in-depth physical understanding of the problem at hand prior
to its mathematical analysis.
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