{'fraction_non_alphanumeric': 0.022900763358778626, 'fraction_numerical': 0.007633587786259542, 'mean_word_length': 5.481481481481482, '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}}
Analysis of a thermo‐viscoplastic model with Lipschitz continuous constitutive equations

We study a thermo‐mechanical model, where the mechanical inelastic model with a Lipschitz–continuous constitutive relation for the plastic strain is coupled with a heat equation. The main results are the local‐in‐time existence and uniqueness of the solution to the considered model and the existence of the solution for an arbitrarily long time interval for the sufficiently small given data. Copyright © 2013 John Wiley & Sons, Ltd.