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An accurate numerical algorithm for stress integration with finite rotations. (English) Zbl 0614.73035
An 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
Software:
PRONTO 2D
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References:
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