论文标题
有限应变中分数粘弹性材料的损伤相位模型
A Damage Phase-Field Model for Fractional Viscoelastic Materials in Finite Strain
论文作者
论文摘要
本文提出了用于粘弹性材料的热力学一致的相位损伤模型。开发了耗散的合适的自由能和伪电势，以建立一个模型，从而在有限的{strain}的假设下，根据分数衍生物的假设。提出了一种新型的降解函数，该功能适当地结合了粘弹性材料的应力反应和损伤演变。我们获得了一组微分方程，以说明运动，损坏和温度的演变。在目前的工作中，为简单起见，通过使用半密码/显式方案，该模型用于等温病例。几项数值测试（包括与实验数据拟合）表明，开发的模型适当地说明了小型和有限菌株的粘弹性材料的损坏。将来的工作将考虑非等热数值模拟。
This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the assumption of finite {strain}, in terms of fractional derivatives. A novel degradation function, which properly couples stress response and damage evolution for viscoelastic materials, is proposed. We obtain a set of differential equations that accounts for the evolution of motion, damage, and temperature. In the present work, for simplicity, this model is numerically solved for isothermal cases by using a semi-implicit/explicit scheme. Several numerical tests, including fitting with experimental data, show that the developed model accounts appropriately for damage in viscoelastic materials for small and finite strains. Non-isothermal numerical simulations will be considered in future works.
