An accurate numerical algorithm for stress integration with finite rotations.

*(English)*Zbl 0614.73035An accurate numerical algorithm for the integration of constitutive equations under both large deformations and/or large rotations is presented. The algorithm is based on the choice of the unrotated configuration as the frame of reference for all constitutive equations. The algorithms does not entail excessive computational time or memory expense. The accuracy of the method is demonstrated by several numerical examples.

##### MSC:

74B20 | Nonlinear elasticity |

74-04 | Software, source code, etc. for problems pertaining to mechanics of deformable solids |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74A20 | Theory of constitutive functions in solid mechanics |

##### Keywords:

explicit transient dynamics algorithm; integration of constitutive equations; large deformations; large rotations; unrotated configuration; frame of reference##### Software:

PRONTO 2D
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\textit{D. P. Flanagan} and \textit{L. M. Taylor}, Comput. Methods Appl. Mech. Eng. 62, 305--320 (1987; Zbl 0614.73035)

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##### References:

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