A unified finite strain visco-elastic visco-plastic constitutive model for a thermosetting polymer from low to high strain rates: Experiments, Validation and Bayesian optimization

IF 7.1 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2025-09-19 DOI:10.1016/j.compstruct.2025.119654

Kailong Xu , Jinzhao Huang , Heng Zhang , Dan Huang , Lulu Liu , Wei Chen , T.E. Tay

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引用次数: 0

Abstract

A thermosetting polymer exhibit phase transitions from low strain rate to high strain rate loading, even at high temperatures. In this work, a unified finite strain visco-elastic visco-plastic (VE-VP) constitutive model considering temperature and strain-rate effects is theoretically developed and numerically implemented in a commercial software by means of a user defined subroutine to characterize observed mechanical response from low to high strain rate, where the phase transition can be characterized by a change in parameter quantities. In order to solve the problem of multi-parameters identification from the VE-VP model (more than 10 parameters), a multi-stage physical interpretation Bayesian optimization (MSPI-BO) framework has been proposed, accounting for the physical reasonability when calibrating material properties, and then giving the explicit mathematical expressions of the material parameters variation with temperature. The results show the VE-VP constitutive model using the MSPI-BO calibrated material parameters can well illustrate the mechanical response of polymer at different temperatures and strain rates. The proposed MSPI-BO approach in this paper provide a new perspective and inspiration for data-driven computational mechanics.

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从低应变率到高应变率的热固性聚合物的统一有限应变粘弹性粘塑性本构模型：实验，验证和贝叶斯优化

热固性聚合物表现出从低应变速率到高应变速率加载的相变，即使在高温下也是如此。在这项工作中，考虑温度和应变率影响的统一有限应变粘弹性粘塑性（VE-VP）本构模型在理论上得到了发展，并在商业软件中通过用户定义的子程序进行了数值实现，以表征从低到高应变率的观察到的机械响应，其中相变可以通过参数量的变化来表征。为了解决VE-VP模型（10个以上参数）的多参数辨识问题，在考虑材料性能标定时的物理合理性的基础上，提出了多阶段物理解释贝叶斯优化（MSPI-BO）框架，并给出了材料参数随温度变化的显式数学表达式。结果表明，基于MSPI-BO标定材料参数的VE-VP本构模型能较好地反映聚合物在不同温度和应变速率下的力学响应。本文提出的MSPI-BO方法为数据驱动计算力学提供了新的视角和启示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.