{'fraction_non_alphanumeric': 0.0141287284144427, 'fraction_numerical': 0.0, 'mean_word_length': 5.860215053763441, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A NURBS‐based finite element model applied to geometrically nonlinear elastodynamics using a corotational approach

A numerical model to deal with nonlinear elastodynamics involving large rotations within the framework of the finite element based on NURBS (Non‐Uniform Rational B‐Spline) basis is presented. A comprehensive kinematical description using a corotational approach and an orthogonal tensor given by the exact polar decomposition is adopted. The state equation is written in terms of corotational variables according to the hypoelastic theory, relating the Jaumann derivative of the Cauchy stress to the Eulerian strain rate.