Incremental Equations for Soft Fibrous Materials

  • Michel Destrade
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 559)


The general theory of nonlinear anisotropic elasticity is extended to describe small-amplitude motions and static deformations that can be superimposed on large pre-strains of fibre-reinforced solids. The linearised governing equations of incremental motion are derived. Then they are solved for some illustrative situations which reveal a wide spectrum of possible behaviours compared to the case of initially isotropic materials. Particular attention is paid to the propagation of homogeneous waves and to the formation of static wrinkles. These objects prove useful in the investigation of the issues of material (in the bulk) and geometrical (at boundaries) stability. Attempts are also made at modelling some experimental observations made on (isotropic) silicone and (anisotropic) biological soft tissues.


Simple Shear Deformation Gradient Principal Plane Surface Instability Principal Stretch 
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Copyright information

© CISM, Udine 2015

Authors and Affiliations

  • Michel Destrade
    • 1
  1. 1.School of Mathematics, Statistics and Applied MathematicsNational University of Ireland GalwayGalwayIreland

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