Large Deformations with Small Strains

  • A. C. Pipkin
Part of the Applied Mathematical Sciences book series (AMS, volume 7)


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.


Large Deformation Small Strain Deformation Gradient Relaxation Modulus Material Element 
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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • A. C. Pipkin
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

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