Incremental equations for soft fibrous materials
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Date
2015Author
Destrade, Michel
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Recommended Citation
Destrade, Michel. (2015). Incremental Equations for Soft Fibrous Materials. In L. Dorfmann & R. W. Ogden (Eds.), Nonlinear Mechanics of Soft Fibrous Materials (pp. 233-267). Vienna: Springer Vienna.
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Abstract
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.