今日更新:Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 1 篇
A continuous phase-evolution model for cold and strain-induced crystallization in semi-crystalline polymers
Ming Lei, Shuailong Ren, Yulin Xiong, Jinyou Xiao, Lihua Wen, Haibao Lu, Xiao Hou
doi:10.1016/j.jmps.2024.105550
半结晶聚合物中低温和应变诱导结晶的连续相演化模型
The dynamic crystallization during extreme thermomechanical history under producing or service strongly influences the dimensional stability of the semi-crystalline thermoplastic polymers. To produce high-precision structural components, the proper thermomechanical history needs to be carefully designed to eliminate the crystallization-induced shrinkage. On the contrary, the rapidly developed four-dimensional (4D) printing technology tries to amplify the crystallization-induced shrinkage to directly produce the complex curvatures without supporting materials. However, the crystals formed at different deformation states might have different orientations, leading to an anisotropic residual deformation. Therefore, tracing of all crystals formed with different initial configurations is the key issue to ensure the geometric accuracy of both the high-precision and the deformable components. In this study, we developed a continuous phase-evolution model for both the cold and the strain-induced crystallization in semi-crystalline thermoplastics. The irreversible cold crystallization is analogized as the raindrop falling into the pool, and the reversible strain-induced crystallization is analogized as the nonequilibrium liquid-gas phase transformation. Using the continuous phase-evolution concept, the crystal growth is described by a series of continuously formed crystal phases sequentially added into the initial amorphous medium. Each newly formed crystal phase is in a stress-free state at the formation moment, and therefore the crystallization history coupled with the whole deformation history can be memorized. By introducing the oriented growth tensor representing the stress-free state of all formed crystals, the deformation-history dependent anisotropic crystallization and the corresponding residual deformation can be traced. The developed model is validated by comparing with the experimental data of the dynamic crystallization in amorphous poly l-lactide polymers under thermomechanical loading cycles. Finally, the predictive capability of the model is illustrated by several demonstrations, to show the influences of deformation-history dependent crystallization orientations and the corresponding anisotropic residual deformation.
在生产或使用过程中,极端热机械过程中的动态结晶对半结晶热塑性聚合物的尺寸稳定性有很大影响。为了生产高精度的结构部件,需要仔细设计适当的热机械历史,以消除结晶引起的收缩。相反,快速发展的四维(4D)打印技术试图放大结晶引起的收缩,直接产生复杂的曲率,而不需要支撑材料。然而,在不同变形状态下形成的晶体可能具有不同的取向,导致各向异性残余变形。因此,以不同初始构型形成的所有晶体的示踪是保证高精度和可变形部件几何精度的关键问题。在这项研究中,我们建立了半结晶热塑性塑料的冷结晶和应变诱导结晶的连续相演化模型。不可逆冷结晶被类比为雨滴落入池中,可逆应变结晶被类比为非平衡气液相变。利用连续相演化的概念,晶体生长是通过一系列连续形成的晶体相依次加入到初始非晶介质中来描述的。每个新形成的晶相在形成时刻都处于无应力状态,因此可以记忆结晶历史和整个变形历史。通过引入代表所有形成的晶体无应力状态的取向生长张量,可以追踪变形历史相关的各向异性结晶和相应的残余变形。通过与热载荷作用下非晶态聚l-丙交酯聚合物动态结晶实验数据的对比,验证了所建立的模型的有效性。最后,通过几个实例说明了该模型的预测能力,以显示变形历史相关的结晶取向和相应的各向异性残余变形的影响。
Emerging anisotropy and tethering with memory effects in fibrous materials
Antonino Favata, Andrea Rodella, Stefano Vidoli
doi:10.1016/j.mechmat.2024.104928
纤维材料中出现的各向异性和记忆效应
Fibrous materials may undergo an internal reorganization, which turns out in the emergence of preferential directions. This is a peculiar behavior of many biological tissues, which drive reorientation by external stimuli at chemo-mechanical levels. In particular, it is detected that contractile cells can reorganize fibrous extracellular matrices and form dense tracts of aligned fibers (tethers), that guide the development of tubular tissue structures and may provide paths for the invasion of cancer cells. Tether formation is caused by buckling instability of network fibres under cell-induced compression. We present a simple mechanical model within a variational framework that captures the essential aspects of these phenomena. The model qualitatively describes: (i) the emergence, induced by local compressive strain, of anisotropy, where fibrous materials exhibit directional preferences; (ii) the occurrence of micro-buckling, which leaves a lasting plastic deformation in the material; and (iii) the formation of localized field patterns, which contribute to the overall behavior of the material. By considering these fundamental aspects, our model provides insights into the mechanical response of fibrous materials and sheds light on the underlying mechanisms driving their behavior.
纤维材料可能经历内部重组,这表现为优先方向的出现。这是许多生物组织的一种特殊行为,它在化学机械水平上通过外部刺 激驱动重新定向。特别是,研究发现,收缩细胞可以重组纤维细胞外基质,形成密集的排列纤维束(系索),引导管状组织结构的发展,并可能为癌细胞的侵袭提供途径。绳系的形成是由网状纤维在细胞诱导的压缩作用下的屈曲失稳引起的。我们在变分框架内提出一个简单的力学模型,该模型捕捉了这些现象的基本方面。该模型定性地描述了:(i)由局部压缩应变引起的各向异性的出现,其中纤维材料表现出方向偏好;(ii)发生微屈曲,在材料中留下持久的塑性变形;(iii)局部场模式的形成,这有助于材料的整体行为。通过考虑这些基本方面,我们的模型提供了对纤维材料的机械响应的见解,并阐明了驱动其行为的潜在机制。