{'fraction_non_alphanumeric': 0.019693654266958426, 'fraction_numerical': 0.00437636761487965, 'mean_word_length': 5.535714285714286, '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}}
Solution‐precipitation creep – micromechanical modelling and numerical results

Our aim is to present a continuum mechanical model for solution‐precipitation creep as well as to compare the numerical results based on that model with experimental observations. The formulation of the problem is based on the minimization of a Lagrangian consisting of elastic power and dissipation. Elastic energy is chosen to be in a standard form but dissipation is strongly adapted to the solution‐precipitation process by introducing two new quantities: the velocity of material transport within the crystallite‐interfaces and the normal velocity of precipitation or solution respectively. The model enables one to give an analytical solution for the case of a single crystal and numerical solution based on a finite element method for more complex, polycrystalline materials. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)