OOF2: The Manual

Name

Mechanical:StressFreeStrain:Anisotropic:Triclinic — Triclinic stress-free strain

Details

Discussion

An anisotropic stress-free strain Property makes an additive contribution of


      \[ -C_{ijkl} \epsilon^0_{kl} \]
    (6.49)

to the Stress, where \(C_{ijkl}\) is the Material's elastic modulus, and \(\epsilon^0\) is a symmetric second rank tensor given by the epsilon0 parameter.

If the only contributions to the Stress are linear elasticity and stress-free strain, then the full Stress is


      \[ \sigma_{ij} = C_{ijkl}\left(\epsilon_{kl} - \epsilon^0_{kl}\right) \]
    (6.50)

so \(\epsilon^0\) is the strain at which the Stress vanishes.

The crystal symmetry of the material is reflected by the symmetry of the strain, epsilon0. The symmetry of the stress-free strain should probably be compatible with the symmetric of the elasticity, although OOF2 does not enforce this restriction. Materials containing an anisotropic stress-free strain Property must also contain an orientation property.