形状记忆聚合物力学行为及其物理机制

形状记忆聚合物是一类环境响应主动形变智能软材料,是智能材料与结构领域的新兴研究内容之一。宏观概括其物理和力学行为的研究热点,主要包括三个方面：材料与环境之间的信息交换（如热量、能量等）,主动形变控制（如驱动方法、形变行为本构建模等）,软材料及其结构力学（如相变/转变热力学、复合材料设计等）。形状记忆聚合物的记忆效应源于分子链段本征结构的热运动,受外场激励影响,是分子链段结构（包括构型和构象）松弛行为的宏观表象,遵循Arrhenius定律。本文从物理和力学两方面讨论了形状记忆聚合物的分子链段热力学行为及其熵弹效应、分子结构松弛力学行为、环境效应记忆行为的物理和力学机制,系统地对形状记忆聚合物分子结构本征属性及其物理机理、记忆效应转变机制及其力学内涵、温度记忆效应、多场耦合效应响应行为等热点和难点问题进行了分析和讨论。最后,论文展望了形状记忆聚合物力学行为研究的未来发展方向。     

变温下橡胶材料力学性能的实验分析

利用Zwick020材料试验机研究了天然橡胶材料在不同温度条件下单向拉伸的大变形力学行为。得到了不同温度和不同加载速率条件下材料的应力-应变关系曲线和材料的破坏条件,由此分析了高温和低温的温度变化条件及加载速率对材料力学性能的影响,得出天然橡胶材料在大变形条件下的温度和加载速率敏感特性。同时利用实验结果拟合出材料的应变能函数,并应用热超弹性模型对材料进行了理论分析。结果表明,理论分析结果与实验结果仅在一定温度范围内吻合得较好,因为材料软化或硬化,在很高或很低的温度情况下二者有一定差别。     

聚碳酸酯类非晶聚合物力学性能及其本构关系

聚碳酸酯是一类玻璃态非晶聚合物材料，由于其出色的耐热和抗冲击能力，被广泛地应用于国防军事和工业领域。针对主要应用于聚碳酸酯材料类非晶聚合物，首先回顾了其力学性能实验研究现状，从唯象的角度分析实验结果，揭示这类材料力学性能。其次介绍了这类材料的各种本构模型的发展历程、物理机制、力学特性、适用范围等。最后，概述了各类本构模型在聚碳酸酯类聚合物材料中的应用，从工程应用的角度进一步讨论了本构模型对材料力学行为的表征，同时给出了聚碳酸酯类材料在实验和理论研究中仍然存在的关键科学问题及进一步的研究展望。     

聚碳酸酯类非晶聚合物力学性能及其本构关系

聚碳酸酯是一类玻璃态非晶聚合物材料,由于其出色的耐热和抗冲击能力,被广泛地应用于国防军事和工业领域.针对主要应用于聚碳酸酯材料类非晶聚合物,首先回顾了其力学性能实验研究现状,从唯象的角度分析实验结果,揭示这类材料力学性能.其次介绍了这类材料的各种本构模型的发展历程、物理机制、力学特性、适用范围等.最后,概述了各类本构模型在聚碳酸酯类聚合物材料中的应用,从工程应用的角度进一步讨论了本构模型对材料力学行为的表征,同时给出了聚碳酸酯类材料在实验和理论研究中仍然存在的关键科学问题及进一步的研究展望.     

Mechanical behaviors and constitutive models of polycarbonate amorphous polymers

聚碳酸酯是一类玻璃态非晶聚合物材料,由于其出色的耐热和抗冲击能力,被广泛地应用于国防军事和工业领域.针对主要应用于聚碳酸酯材料类非晶聚合物,首先回顾了其力学性能实验研究现状,从唯象的角度分析实验结果,揭示这类材料力学性能.其次介绍了这类材料的各种本构模型的发展历程、物理机制、力学特性、适用范围等.最后,概述了各类本构模型在聚碳酸酯类聚合物材料中的应用,从工程应用的角度进一步讨论了本构模型对材料力学行为的表征,同时给出了聚碳酸酯类材料在实验和理论研究中仍然存在的关键科学问题及进一步的研究展望.     

温度梯度介质的偶应力理论——多相固体混合物的热失配

在强烈热沉积、较大温升率和温度梯度条件下材料性能的研究中,应用应变梯度理论,提出一种将温度梯度通过偶应力理论纳入本构方程的特殊的模型介质,并将其称为温度梯度固体.由此解释了具有显著细结构的多相固体混合物在强烈热沉积条件下,因热失配而表现出的特殊的热力耦合行为.     

基于等效阻尼理论的金属橡胶弹性迟滞力学模型及实验研究

针对弹性多孔金属橡胶非线性迟滞特性力学行为,将迟滞恢复力-位移曲线分解为非线性单值曲线和椭圆,并将等效阻尼理论用于动态力学性能参数识别,从而建立了一种新型的适用于黏弹性阻尼材料的宏观唯象力学模型。采用不同相对密度的环形金属橡胶进行动态实验测试,以验证理论模型的准确性,结果表明该模型可将具有非线性特性的金属橡胶系统进行降阶处理,提高金属橡胶力学模型的预测效率,并能很好地描述金属橡胶的迟滞力学行为。另外,研究了在不同激励频率条件下金属橡胶的阻尼耗能特性。实验结果表明:在高频加载的条件下,黏性阻尼系数对动态加载频率不敏感,阻尼耗能与加载幅值之间呈线性正相关。基于等效阻尼理论的弹性迟滞力学模型具有一定的普适性,可进一步推广应用于类似弹性多孔材料的力学性能表征,为其工程应用提供理论基础。     

金属铍的压缩变形行为

利用材料试验机及Hopkinson杆装置系统开展热等静压金属铍在不同温度下的静动态压缩力学行为研究,获得了温度、应变率对金属铍屈服强度和加工硬化行为的影响规律。结果表明:金属铍在压缩应力状态下呈现出良好的塑性,同时其力学性能具有显著的应变率敏感性与热软化效应,屈服强度和流动应力随应变率提高呈明显增大趋势,随着温度升高逐渐降低。同时,室温下其加工硬化行为随着应变增大表现为分段硬化特征,随温度升高则趋于理想塑性。最后,采用修正的Johnson-Cook本构模型对实验结果进行了拟合,模型计算结果与实验结果吻合较好。     

NiTi形状记忆合金丝力学性能试验研究

形状记忆合金(SMA)是一种具有多种特性的新兴功能材料,其力学性能与材料本身的元素组成比例、应力状态以及周围的环境温度等有着复杂的关系．本文选用某金属开发有限公司生产的镍钛SMA为研究对象,对12组48根奥氏体状态下形状记忆合金丝试件进行力学性能试验,通过改变电流、加载幅值、加载速率、循环次数和直径等主要试验参数,研究了形状记忆合金材料的力学特性．结果表明：加载幅值和加载速率是影响奥氏体SMA材料力学性能的主要参数．     

热载荷作用下对称S型功能梯度圆板的非线性力学行为

本文研究了热环境中陶瓷-金属-陶瓷功能梯度圆板（S-FGM）的过屈曲和弯曲行为。圆板材料组分的体积分数符合Sigmoid定律,并承受沿圆板厚度方向变化的温度场作用。基于经典板理论,用能量法导出了对称S-FGM圆板静态问题的非线性平衡方程。用打靶法对所得方程进行了数值求解,并利用数值结果研究了不同边界条件、材料的组分、热载荷等因素对对称S-FGM圆板力学行为的影响。数值结果表明：对称S-FGM圆板相较于普通FGM圆板,其力学行为存在一些不同之处,且板的上下表面温升比对S型功能梯度圆板的力学行为有着显著的影响。     

A finite deformation thermomechanical constitutive model for triple shape polymeric composites based on dual thermal transitions

Shape memory polymers (SMPs) have gained strong research interests recently due to their mechanical action that exploits their capability to fix temporary shapes and recover their permanent shape in response to an environmental stimulus such as heat, electricity, irradiation, moisture or magnetic field, among others. Along with interests in conventional “dual-shape” SMPs that can recover from one temporary shape to the permanent shape, multi-shape SMPs that can fix more than one temporary shapes and recover sequentially from one temporary shape to another and eventually to the permanent shape, have started to attract increasing attention. Two approaches have been used to achieve multi-shape shape memory effects (m-SMEs). The first approach uses polymers with a wide thermal transition temperature whilst the second method employs multiple thermal transition temperatures, most notably, uses two distinct thermal transition temperatures to obtain triple-shape memory effects (t-SMEs). Recently, one of the authors’ group reported a triple-shape polymeric composite (TSPC), which is composed of an amorphous SMP matrix (epoxy), providing the system the rubber-glass transition to fix one temporary shape, and an interpenetrating crystallizable fiber network (PCL) providing the system the melt-crystal transition to fix the other temporary shape. A one-dimensional (1D) material model developed by the authors revealed the underlying shape memory mechanism of shape memory behaviors due to dual thermal transitions. In this paper, a three-dimension (3D) finite deformation thermomechanical constitutive model is presented to enable the simulations of t-SME under more complicated deformation conditions. Simple experiments, such as uniaxial tensions, thermal expansions and stress relaxation tests were carried out to identify parameters used in the model. Using an implemented user material subroutine (UMAT), the constitutive model successfully reproduced different types of shape memory behaviors exhibited in experiments designed for shape memory behaviors. Stress distribution analyses were performed to analyze the stress distribution during those different shape memory behaviors. The model was also able to simulate complicated applications, such as a twisted sheet and a folded stick, to demonstrate t-SME.     

A thermodynamic consistent damage and healing model for self healing materials

Thermodynamics of the damage and the healing processes for viscoplastic materials is discussed in detail and constitutive equations for coupled inelastic-damage-healing processes are proposed in a thermodynamic consistent framework. Small deformation state is utilized and the kinematic and the isotropic hardening effects for the damage and healing processes are introduced into the governing equations. Two new yield surfaces for the damage and healing processes are proposed that take into account the isotropic hardening effect. The computational aspect for solving the coupled elasto-plastic-damage-healing problem is investigated, and the mechanical behavior of the proposed polymeric based self healing system is obtained. Uniaxial compression tests are implemented on a shape memory polymer based self healing system and the damage and the healing are captured by measurement of the changes in the modulus of elasticity. It is concluded that the proposed constitutive equations can model the damage and healing effectively and the mechanical behavior of a shape memory polymer based self healing system can be precisely modeled using this formulation.     

A constitutive theory for shape memory polymers. Part II: A linearized model for small deformations

A constitutive theory is developed for shape memory polymers. It is to describe the thermomechanical properties of such materials under large deformations. The theory is based on the idea, which is developed in the work of Liu et al. [2006. Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modelling. Int. J. Plasticity 22, 279-313], that the coexisting active and frozen phases of the polymer and the transitions between them provide the underlying mechanisms for strain storage and recovery during a shape memory cycle. General constitutive functions for nonlinear thermoelastic materials are used for the active and frozen phases. Also used is an internal state variable which describes the volume fraction of the frozen phase. The material behavior of history dependence in the frozen phase is captured by using the concept of frozen reference configuration. The relation between the overall deformation and the stress is derived by integration of the constitutive equations of the coexisting phases. As a special case of the nonlinear constitutive model, a neo-Hookean type constitutive function for each phase is considered. The material behaviors in a shape memory cycle under uniaxial loading are examined. A linear constitutive model is derived from the nonlinear theory by considering small deformations. The predictions of this model are compared with experimental measurements.     

A constitutive theory for shape memory polymers. Part I: Large deformations

A constitutive theory is developed for shape memory polymers. It is to describe the thermomechanical properties of such materials under large deformations. The theory is based on the idea, which is developed in the work of Liu et al. [2006. Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling. Int. J. Plasticity 22, 279-313], that the coexisting active and frozen phases of the polymer and the transitions between them provide the underlying mechanisms for strain storage and recovery during a shape memory cycle. General constitutive functions for nonlinear thermoelastic materials are used for the active and frozen phases. Also used is an internal state variable which describes the volume fraction of the frozen phase. The material behavior of history dependence in the frozen phase is captured by using the concept of frozen reference configuration. The relation between the overall deformation and the stress is derived by integration of the constitutive equations of the coexisting phases. As a special case of the nonlinear constitutive model, a neo-Hookean type constitutive function for each phase is considered. The material behaviors in a shape memory cycle under uniaxial loading are examined. A linear constitutive model is derived from the nonlinear theory by considering small deformations. The predictions of this model are compared with experimental measurements.     

Temperature analysis of one-dimensional NiTi shape memory alloys under different loading rates and boundary conditions

Superelastic polycrystalline NiTi shape memory alloys under tensile loading accompany the strain localization and propagation phenomena. Experiments showed that the number of moving phase fronts and the mechanical behavior are very sensitive to the loading rate due to the release/absorption of latent heat and the material’s inherent temperature sensitivity of the transformation stress. In this paper, the moving heat source method based on the heat diffusion equation is used to study the temperature evolution of one-dimensional superelastic NiTi specimen under different loading rates and boundary conditions with moving heat sources or a uniform heat source. Comparisons of temperature variations with different boundary conditions show that the heat exchange at the boundaries plays a major role in the nonuniform temperature profile that directly relates to the localized deformation. Analytical relation between the front temperature of a single phase front, the inherent Clausius–Clapeyron relation (sensitivity of the material’s transformation stress with temperature), heat transfer boundary conditions and the loading rate is established to analyze the nucleation of new phase fronts. Finally, the rate-dependent stress hysteresis is also simply discussed by using the results of temperature analyses.     

超弹性镍钛形状记忆合金单轴相变棘轮行为的宏观唯象本构模型

超弹性镍钛形状记忆合金因其良好的力学性能以及独特的超弹性和形状记忆效应已广泛应用于土木工程、航空航天和生物医疗等多个领域,在实际服役环境中超弹性镍钛合金元件不可避免地会承受不同应力水平的循环载荷作用,亟待建立描述相变棘轮行为(即峰值应变和谷值应变随着正相变和逆相变循环的进行不断累积)的循环本构模型.为此,基于已有的超弹性镍钛形状记忆合金在不同峰值应力下的单轴相变棘轮行为实验研究结果,在广义黏塑性框架下,对Graesser等提出的通过背应力非线性演化方程反映超弹性镍钛形状记忆合金超弹性行为的一维宏观唯像本构模型进行了拓展,考虑了正相变和逆相变过程中特征变量的差异及其随循环的演化,以非弹性应变的累积量为内变量引入了正相变开始应力、逆相变开始应力、相变应变和残余应变的演化方程,同时通过峰值应力与正相变完成应力的比值来确定演化方程中的相关系数,建立了描述超弹性镍钛合金单轴相变棘轮行为的本构模型.将模拟结果与对应的实验结果进行对比发现,建立的宏观唯像本构模型能够合理地描述超弹性镍钛形状记忆合金的单轴相变棘轮行为及其峰值应力依赖性,模型的预测结果和实验结果吻合得很好.     

A thermomechanical model for a 1-D shape memory alloy wire with propagating instabilities

A thermomechanical boundary value problem and constitutive model are presented for a shape memory alloy (SMA) wire under uniaxial loading. The intent is to develop a one-dimensional continuum model of an SMA element that includes all the relevant thermomechanical couplings and is suitable for inclusion in finite element analyses. Thermodynamic relations are derived from phenomenological considerations consistent with recent experimental observations and are calibrated to a typical commercially available NiTi wire material. The model includes both temperature-induced and stress-induced transformations that are necessary to exhibit the shape memory effect and pseudoelastic behaviors. The model accommodates possible unstable mechanical behavior during stress-induced transformations by allowing softening transformation paths and including strain gradient effects. This should provide a tool to study propagating transformation fronts and localized latent heat transfer with the surroundings and a variety of interesting future structural applications, such as composites with embedded SMA elements.