Large Deformations with Small Strains

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Lectures on Viscoelasticity Theory

Part of the book series: Applied Mathematical Sciences ((AMS,volume 7))

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Abstract

The solution of a problem of finite deformation may require knowledge of material properties not embodied in the linear stress-relaxation moduli. Then again, it may not. In some problems of finite deformation, no material element is distorted very much even though displacements and rotations are large. In such cases we need to know only those material properties that entered into the description of response in infinitesimal deformations. However, if there are large geometry changes, it is necessary to take these into account in the kinematics.

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© 1972 Springer-Verlag New York Inc.

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Pipkin, A.C. (1972). Large Deformations with Small Strains. In: Lectures on Viscoelasticity Theory. Applied Mathematical Sciences, vol 7. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9970-8_8

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  • DOI: https://doi.org/10.1007/978-1-4615-9970-8_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90030-8

  • Online ISBN: 978-1-4615-9970-8

  • eBook Packages: Springer Book Archive

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