## Abstract

It is shown that there exist approximations of the Hencky (logarithmic) finite strain tensor of various degrees of accuracy, having the following characteristics: (1) The tensors are close enough to the Hencky strain tensor for most practical purposes and coincide with it up to the quadratic term of the Taylor series expansion; (2) are easy t compute (the spectral representation being unnecessary); and (3) exhibit tensioncompression symmetry (i.e., the strain tensor of the inverse transformation is minus the original strain tensor). Furthermore, an additive decomposition of the proposed strain tensor into volumetric and deviatoric (isochoric) parts is given. The deviatoric part depends on the volume change, hut this dependence is negligible for materials that are incapable of large volume changes. A general relationship between the rate of the approximate Hencky strain tensor and the deformation rate tensor can be easily established.

Original language | English (US) |
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Pages (from-to) | 131-136 |

Number of pages | 6 |

Journal | Journal of Engineering Materials and Technology, Transactions of the ASME |

Volume | 120 |

Issue number | 2 |

DOIs | |

State | Published - Apr 1998 |

## ASJC Scopus subject areas

- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering