{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:13:17Z","timestamp":1760238797581,"version":"build-2065373602"},"reference-count":47,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,6,16]],"date-time":"2022-06-16T00:00:00Z","timestamp":1655337600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["21-71-00046"],"award-info":[{"award-number":["21-71-00046"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>The temporal nature of static and dynamic deformation of fibre metal laminates is discussed here. The aim of the study is to verify the proposed innovate model using layered composites. The modified relaxation model is based on the earlier formulated plasticity relaxation model for homogeneous materials. The proposed relaxation model makes it possible to describe the deformation of the layered composites from elastic to irreversible deformation, finalised by the failure moment. The developed approach allows us to consider the effects of the transition from static to dynamic loading. This means that the model-calculated dynamic limiting characteristics of the metal and the strength of brittle materials will have a determining character, depending on the loading history. The verification of the model using a glass fibre reinforced aluminium composite, glass fibre reinforced titanium composite, carbon fibre reinforced aluminium composite, and Kevlar fibre reinforced aluminium composite with different thickness ratios between metal and polymer layers is given. It is shown that the theoretical deformation curves of the metal composites at the various strain rates, finalised by brittle fracture of the polymer layers or continued irreversible deformation of remaining unbroken metal layers with destroyed polymer (fibre\/epoxy) layers, are predicted. Based on the same structural\u2212temporal parameters for five (Ti\/GFRP (0\/90)\/Ti\/GFRP(90\/0)\/Ti) and three (Ti\/GFRP(0\/90\/90\/0)\/Ti) layers glass fibre reinforced titanium composites and the polymer layers, one-stage and two-stage stress drops during the irreversible deformation of the composite under static and dynamic loading are simulated. The change of the multi-stage fracture of the composite from static to dynamic loading and the fracture characteristic times of the polymer (100 s and 15,400 s) and the metal (8.4 ms) are correlated. Continued plastic deformation of the composite after fracture of the polymer layers is related with different values of the characteristic relaxation times of the polymer (fibre\/epoxy) and the metal layers.<\/jats:p>","DOI":"10.3390\/ma15124271","type":"journal-article","created":{"date-parts":[[2022,6,17]],"date-time":"2022-06-17T05:25:11Z","timestamp":1655443511000},"page":"4271","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Structural-Temporal Peculiarities of Dynamic Deformation of Layered Materials"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6994-8663","authenticated-orcid":false,"given":"Nina","family":"Selyutina","sequence":"first","affiliation":[{"name":"Mathematical and Mechanical Faculty, Saint Petersburg State University, Universitetskiy Prospect 28, Saint Petersburg 198504, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuri","family":"Petrov","sequence":"additional","affiliation":[{"name":"Mathematical and Mechanical Faculty, Saint Petersburg State University, Universitetskiy Prospect 28, Saint Petersburg 198504, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4920","DOI":"10.1016\/j.msea.2010.04.028","article-title":"A study on tensile properties of a novel fiber\/metal laminates","volume":"527","author":"Dariushi","year":"2010","journal-title":"Mater. 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