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Viscoelasticity(1st Edition)

Authors:

Wilhelm Flugge

Free viscoelasticity 1st edition wilhelm flugge 3662022788, 978-3662022788
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ISBN: 3662022788, 978-3662022788

Book publisher: Springer

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Book Summary: No Mathematical Theory Can Completely Describe The Complex World Around Us. Every Theory Is Aimed At A Certain Class Of Phenomena, Formulates Their Essential Features, And Disregards What Is Of Minor Importance. The Theory Meets Its Limits Of Applicability Where A Dis­ Regarded Influence Becomes Important. Thus, Rigid-body Dynamics Describes In Many Cases The Motion Of Actual Bodies With High Accu­ Racy, But It Fails To Produce More Than A Few General Statements In The Case Of Impact, Because Elastic Or Anelastic Deformation, No Matter How Local Or How Small, Attains A Dominating Influence. For A Long Time Mechanics Of Deformable Bodies Has Been Based Upon Hooke's Law - That Is, Upon ThE" Assumption Of Linear Elasticity. It Was Well Known That Most Engineering Materials Like Metals, Con­ Crde, Wood, Soil, Are Not Linearly Elastic Or, Are So Within Limits Too Narrow To Cover Tne Range Of Pl'actical Intcrest. Nevertheless, Almost All Routine Stress Analysis Is Still Based On Hooke T S Law Be­ Cause Of Its Simplicity. In The Course Of Time Engineers Have Become Increasingly Con­ Scious Of The Importance Of The Anelastic Behavior Of Many Materials, And Mathematical Formulations Have Been Attempted And Applied To Practical Problems. Outstanding Among Them Are The Theories Of Ide­ Ally Plastic And Of Viscoelastic Materials. While Plastic Behavior Is Essentially Nonlinear (piecewise Linear At Best), Viscoelasticity, Like Elasticity, Permits A Linear Theory. This Theory Of Linear Visco­ Elasticity Is The Subject Of Tbe Present Book.