摘要
利用形状记忆因子,直观地描述了形状记忆合金(SMA)实现其超弹性与形状记忆效应的热力学宏观过程.根据热力学基本原理并假设SMA为各向同性材料,建立了描述复杂应力状态下SMA热力学行为的三维本构方程.该本构方程具有直观的表述形式且所含材料常数均可以通过宏观实验测定,克服了现存SMA三维本构方程由于表述形式复杂和材料参数不易测定等因素而不便于描述复杂应力状态下SMA热力学行为的局限性.该本构方程还克服了现存SMA三维本构方程不能描述含初始应力和初始应变SMA热力学行为的局限性.数值结果表明,该本构方程能有效地描述复杂应力状态下SMA在实现超弹性和形状记忆效应过程中的热力学行为,为SMA的工程实际应用提供了理论基础.
The thermomechanical macro-processes of super elasticity and shape memory effect occurring in shape memory alloy （SMA） are directly described using the concept of shape memory factor. A three-dimensional constitutive equation is developed based on thermodynamics and the assumption that SMA is an isotropic material. It overcomes both limitations that the previous three-dimensional constitutive equations are not available to predict the mechanical behaviors of SMA in the complex stress state and fail to express the mechanical behaviors of SMA with initial stress and strain. All material constants in the proposed constitutive equation can be determined through macroscopic experiments, which make it easily to be applied. Numerical results illustrate that it predicts the thermomechanical behaviors of SMA in the complex stress state very well. This paper can provide a theoretical basis for the applications of SMA.
出处
《固体力学学报》
CAS
CSCD
北大核心
2011年第1期21-28,共8页
Chinese Journal of Solid Mechanics
基金
中国博士后科学基金项目(20080430933)
教育部留学回国人员科研启动基金
中央高校基本科研业务费专项资金(HEUCFZ1004)
哈尔滨市科技创新人才研究专项基金(RC2009QN017046)项目资助
关键词
形状记忆合金
形状记忆因子
复杂应力状态
本构方程
shape memory alloy,shape memory factor,complex stress state,constitutive equation
