热驱动形状记忆聚合物三维力学本构模型
|
摘要
假设形状记忆聚合物(SMP)为各向同性材料,其体积变形是弹性的,形状变化的流变规律满足Tobushi建立的一维本构模型的基础上,应用固体力学和热粘弹性理论建立了SMP三维本构模型,使其不仅能描述简单应力状态下的热力学行为,也能描述复杂应力状态下的热力学行为.然后基于ABAQUS的二次开发平台编写了可供ABAQUS调用的UMAT子程序,对SMP试样实现形状记忆效应的热力学过程数值模拟,数值模拟结果与Tobushi等的实验结果吻合良好,表明建立的SMP三维本构模型能够有效的描述SMP的热力学行为,可为SMP的工程应用提供理论参考.
Assuming the shape memory polymers is an isotropic material,by the application of solid mechanics and thermal viscoelasticity theory,a 3Dconstitutive equation of SMP is developed based on tobushi' s 1Dconstitutive equation,so it can not only describe the thermo-mechanical behavior under simple stress state,but also describe the thermo-mechanical behavior under complex stress state.A UMAT subroutine is programmed with fortran based on ABAQUS secondary development platform,then the SMP thermo-mechanical behavior is numerically simulated by ABAQUS.Numerical simulation results coincide with Tobushi' s experimental results,which shows the thermo-mechanical behavior of SMP and it' s shape memory effect can be described by the three dimensional constitutive model of SMP.
Assuming the shape memory polymers is an isotropic material,by the application of solid mechanics and thermal viscoelasticity theory,a 3Dconstitutive equation of SMP is developed based on tobushi' s 1Dconstitutive equation,so it can not only describe the thermo-mechanical behavior under simple stress state,but also describe the thermo-mechanical behavior under complex stress state.A UMAT subroutine is programmed with fortran based on ABAQUS secondary development platform,then the SMP thermo-mechanical behavior is numerically simulated by ABAQUS.Numerical simulation results coincide with Tobushi' s experimental results,which shows the thermo-mechanical behavior of SMP and it' s shape memory effect can be described by the three dimensional constitutive model of SMP.
引文
[1]TOBUSHI H,HASHIMOTO T,HAYASHI S,et al.Thermomechanical constitutive modeling in shape memory polymer of polyurethane series[J].Intelligent Material Systems and Structures,1997,8:711-718.
[2]TOBUSHI H,OKUMURA K,HAYASHI S,et al.Thermomechanical constitutive model of shape memory polymer[J].Mechanics of Materials,2001,33:545-554.
[3]HEUCHEL M,CUI J,KRATZ K,et al.Relaxation based modeling of tunable shape recovery kinetics observed under isothermal conditions for amorphous shape-memory polymers[J].Polymer,2010,51(26):6212-6218.
[4]LIU Yiping,KEN G,MARTIN L D,et al.Thermomechanics of shape memory polymers:uniaxial experiments and constitutive modeling[J].International Journal of Plasticity,2006,22:279-313.
[5]CHEN Yichao,DIMITRIS C,LAGOUDAS A.Constitutive theory for shape memory polymers.part I large deformations[J].Journal of the Mechanics and Physics of Solids,2008,56(5):1752-1765.
[6]CHEN Yichao,DIMITRIS C,LAGOUDAS A.Constitutive theory for shape memory polymers.Part II a linearized model for small deformations[J].Journal of the Mechanics and Physics of Solids,2008,56(5):1766-1778.
[7]李郑发,王正道,熊志远,等.形状记忆聚合物热力学本构方程[J].高分子学报,2009(1):23-27.
[8]周博,刘彦菊,冷劲松.苯乙烯基形状记忆聚合物热力学行为的有限元分析[J].高分子学报,2009(6):525-529.
[9]周博,刘彦菊,冷劲松.形状记忆聚合物的宏观力学本构模型[J].中国科学:物理学力学天文学,2010,40(7):896-903.
[10]SHI G H,YANG Q S,HE X Q,et al.A three-dimensional constitutive equation and finite element method Implementation for shape memory polymers[J].Computer Modeling in Engineering&Sciences,2013,90(5):339-358.
[11]BHATTACHARYYA A,TOBUSHI H.Analysis of the isothermal mechanical response of a shape memory polymer rheological model[J].Polymer Engineering and Science,2000,40(12):2498-2510.
[12]尹祥础.固体力学[M].1版.北京:地震出版社,2011.
[2]TOBUSHI H,OKUMURA K,HAYASHI S,et al.Thermomechanical constitutive model of shape memory polymer[J].Mechanics of Materials,2001,33:545-554.
[3]HEUCHEL M,CUI J,KRATZ K,et al.Relaxation based modeling of tunable shape recovery kinetics observed under isothermal conditions for amorphous shape-memory polymers[J].Polymer,2010,51(26):6212-6218.
[4]LIU Yiping,KEN G,MARTIN L D,et al.Thermomechanics of shape memory polymers:uniaxial experiments and constitutive modeling[J].International Journal of Plasticity,2006,22:279-313.
[5]CHEN Yichao,DIMITRIS C,LAGOUDAS A.Constitutive theory for shape memory polymers.part I large deformations[J].Journal of the Mechanics and Physics of Solids,2008,56(5):1752-1765.
[6]CHEN Yichao,DIMITRIS C,LAGOUDAS A.Constitutive theory for shape memory polymers.Part II a linearized model for small deformations[J].Journal of the Mechanics and Physics of Solids,2008,56(5):1766-1778.
[7]李郑发,王正道,熊志远,等.形状记忆聚合物热力学本构方程[J].高分子学报,2009(1):23-27.
[8]周博,刘彦菊,冷劲松.苯乙烯基形状记忆聚合物热力学行为的有限元分析[J].高分子学报,2009(6):525-529.
[9]周博,刘彦菊,冷劲松.形状记忆聚合物的宏观力学本构模型[J].中国科学:物理学力学天文学,2010,40(7):896-903.
[10]SHI G H,YANG Q S,HE X Q,et al.A three-dimensional constitutive equation and finite element method Implementation for shape memory polymers[J].Computer Modeling in Engineering&Sciences,2013,90(5):339-358.
[11]BHATTACHARYYA A,TOBUSHI H.Analysis of the isothermal mechanical response of a shape memory polymer rheological model[J].Polymer Engineering and Science,2000,40(12):2498-2510.
[12]尹祥础.固体力学[M].1版.北京:地震出版社,2011.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心