Constitutive Equations for Analyzing Stress Relaxation and Creep of Viscoelastic Materials Based on Standard Linear Solid Model Derived with Finite Loading Rate.
Constitutive Equations for Analyzing Stress Relaxation and Creep of Viscoelastic Materials Based on Standard Linear Solid Model Derived with Finite Loading Rate.
复制标题
作者：
聚合物等材料的粘弹性能可以通过测量和分析其应力松弛和蠕变等粘弹性行为来定量评价。标准线性固体模型是分析应力松弛和蠕变行为的经典和常用的数学模型。传统的应力松弛和蠕变本构方程是基于标准线性固体模型，假设加载为阶跃函数，即应力松弛和蠕变试验加载过程中的加载速率为无穷大。由于在真实的应力松弛或蠕变实验中加载速率必须是有限的（无论加载速率有多快），使用这样的本构方程可能会导致分析中的显著误差。本文的目的是介绍本构方程分析应力松弛和蠕变行为的标准线性固体模型的基础上推导出一个有限的加载速率。有限元数值模拟结果表明，在大多数情况下，无论加载速率如何，有限加载速率下的本构方程都能得到精确的粘弹性参数。建议用有限加载速率下的本构方程代替传统的无限加载速率下的本构方程来分析材料的应力松弛和蠕变行为，以定量评价材料的粘弹性性能。
The viscoelastic properties of materials such as polymers can be quantitatively evaluated by measuring and analyzing the viscoelastic behaviors such as stress relaxation and creep. The standard linear solid model is a classical and commonly used mathematical model for analyzing stress relaxation and creep behaviors. Traditionally, the constitutive equations for analyzing stress relaxation and creep behaviors based on the standard linear solid model are derived using the assumption that the loading is a step function, implying that the loading rate used in the loading process of stress relaxation and creep tests is infinite. Using such constitutive equations may cause significant errors in analyses since the loading rate must be finite (no matter how fast it is) in a real stress relaxation or creep experiment. The purpose of this paper is to introduce the constitutive equations for analyzing stress relaxation and creep behaviors based on the standard linear solid model derived with a finite loading rate. The finite element computational simulation results demonstrate that the constitutive equations derived with a finite loading rate can produce accurate results in the evaluation of all viscoelastic parameters regardless of the loading rate in most cases. It is recommended that the constitutive equations derived with a finite loading rate should replace the traditional ones derived with an infinite loading rate to analyze stress relaxation and creep behaviors for quantitatively evaluating the viscoelastic properties of materials.
登录
查看更多内容
DOI：
10.1111/1747-0080.12678
发表时间：
2021-07
期刊：
Nutrition & dietetics : the journal of the Dietitians Association of Australia
影响因子：
--
作者：
Coenen A;Batterham MJ;Beck EJ
通讯作者：
Beck EJ
影响因子：
4.4
作者：
Amadei, A;Roccatano, D;DiNola, A
通讯作者：
DiNola, A
DOI：
10.1016/j.jmbbm.2018.09.031
发表时间：
2019-01-01
影响因子：
3.9
作者：
Cacopardo, Ludovica;Guazzelli, Nicole;Ahluwalia, Arti
通讯作者：
Ahluwalia, Arti
DOI：
10.1016/j.jmbbm.2018.07.037
发表时间：
2018-11-01
影响因子：
3.9
作者：
Baghban, M.;Mojra, A.
通讯作者：
Mojra, A.
影响因子：
3.8
作者：
Abramowitch, SD;Woo, SLY;Debski, RE
通讯作者：
Debski, RE